Question
In the given figure ABCD is a rectangle. It consists of a circle and two semi circles each of which are of radius 5 cm. Find the area of the shaded region. Give your answer correct to three significant figures.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYcAAAC/CAYAAAAVQBAKAAAgAElEQVR4nO3deVhTZ/o38G8SwiogW1VAEFBBx4oLFahitdaqFaEwLi1qFa2jFqrV1harzoy2WutSHUcUHUTUqgjuS0U6VRGXVkX9ubSgssgmsgpISCDJef/okLcURZacnJzD/bmuXAok57mVk3zP8iwihmEYEEIIIX8g5roAQggh+ofCgRBCSCMUDoQQQhqhcCCEENIIhQMhhJBGKBwIIYQ0QuFACCGkEQoHQgghjVA4EEIIaYTCgRBCSCMUDoQQQhrRWTjU1NRAJpPpqjlCCCFtoJNwOH36NF5//XUMHjwY69at00WThBBC2sBAF40kJCTg1q1bmq+nT58OW1tbXTRNCCGkFVg/c6isrERSUhI8PDxgY2ODzMzMBkFBCCFE/7AeDnFxccjPz8e4ceMwdepUVFZW4uLFi6BlJAghRH+xGg51dXXYt28fDA0N4ePjgylTpkAsFmPPnj3Izs5ms2lCCCFtwGo4pKWlIT09HX379sXIkSPh5uYGJycnZGZm4s6dO2w2TQghpA1YDYczZ86gsLAQI0eOhLm5OTp27IgPP/wQAHD8+HE2myaEENIGrIVDaWkpTp48CQAYPXq05vtjxoyBhYUFDh8+jPz8fLaaJ4QQ0gashUNWVhauXbsGd3d3DBo0SPN9FxcXDBgwAOXl5Thy5AhbzRNCCGkD1sLh7NmzkMlkCA0NRW1tLSoqKlBRUQGxWIzevXsDAFJSUqjXEiGE/I9SqUReXh6ys7MbPHJzc1FaWqrTWkQMC5/OT58+haenJ3JycuDu7g4rKyuo1WoAgEQiQWFhIbKysmBvb49jx47By8tL2yUQQgjv3Lp1C2PGjEFhYWGD74vFYvTq1QsTJkzA/Pnz0bFjR9ZrYWWE9KVLl5CbmwsrKytYWFhArVZrzhCUSiU6deqEiooKFBQU4IcffqBwIIQQQHOFpUePHpgxYwaMjIygVCpx//597N69G//85z/x7NkzfPPNNzAwYHeCC1a2npiYCIZhMGvWLCxZsgQikajRc1avXo1Vq1YhOTkZVVVVMDc3Z6MUQgjhDZFIBKVSCRcXF3z66aeQSqUAAJVKhX79+iE8PBx79uzBwoUL0aVLF1Zr0fo9h/z8fCQlJcHCwgL+/v6wsLCAubl5o8fUqVNhamqKa9eu4dGjR9ougxBCeIthGKhUKs3XEokE/v7+MDc3R2lpKWpqalivQevhcPjwYdy/fx9ubm7w9PR84fPc3NwwYsQIVFVVISYmRttlEEIIr/35dnD9fVupVAqJRMJ6+1q9rMQwDPLy8mBnZ4dRo0bBwsLihc+VSqUICgrCL7/8gitXrkAmk8HU1LTJ7WdlZWHlypV49OgRGIbR/OeJRCJIpVIYGRlp/jQzM4OhoeFzL2kRQkhLMAyDuro6VFdXQ6FQaB5KpRK1tbXw9fXFsmXL0KFDB620JxaLYWxs3KD9U6dOoaqqCr6+vrCystJKO03RajiIRCKEh4dj4sSJ+Mtf/vLS50+YMAGenp4wNjZu8B/xIvXJaWdnBxMTE4jFv5/4qFQq1NTUoKqqCuXl5Xj69CkKCwtRVFTUtn8QIYT8j62tLbp06aLpaGNjYwNjY2NIpVJkZWXhwYMH6N+/f5vbkUqlyMjIwMqVKzU3pPPz87F//374+voiMjKyyQNvbWGlKytb1Go1lEolDA0Nn/tzuVwOmUyGZ8+eobS0FCUlJSgvL0dxcTGKioqQn5+PzMxM3Lt3j4KDENKIiYkJPDw80KtXL3Tt2hWdO3dG586dYWVlBTs7O9jY2MDc3BxmZmYwMjLSvG7//v1wdHSEn59fm9q/cOECAgMD8fTp0+f+fNCgQViyZAkCAgLa1E5z6GSxH20Ri8UvDAYAmjMQa2trODk5Nfq5SqVCbW0tFAoF7t+/jzNnzuDatWvIyclBQUEBiouL2SyfEKJHDAwM4OjoCHt7e/Tq1QujR4+Gr68vOnbsCCMjoxZ1Fa2rq9PaJWy5XA5PT098+eWXMDY2hkqlQl5eHs6cOYOzZ8/ivffew44dO/D+++9rpb0X4VU4tJVEIoGJiQlMTEwwaNAgzbQeFRUV+O2333Du3DlcvHgR//d//0fzPgmMSCSCqakpTExMNPemDAwMYGRkBIlEApFIpOkhUltbi7q6OtTV1UGhUGjWP+fRSTZ5AZFIhJ49e8LLywsjRozAG2+8AUdHxyYPOnVNpVKhU6dOCAoK0nRlBYCPPvoIK1aswIoVK7B06VIMHz4cnTt3Zq2OdhUOL2JpaQkfHx/4+PigqqoKWVlZyM3NRXR0NE6ePAmlUsl1iaSZRCIRJBIJnJ2d4e3tDW9vb7i5uWlC4Y/BIJFIIJVKIRaLNeFQf+my/lEfEHK5HHK5HA8fPsTVq1dx9epVZGdnQ6VSUWjwgImJCSZPnoyJEyfC2dkZbm5uOunx01oMw0CpVDYIB4lEgjFjxmDLli0oLi5GWloahYMumZubo2/fvujbty/efvttZGRk4NSpU9i3bx/u3LmDuro6rksk/2Nubg4HBwd069YN/fv3R58+feDq6gpnZ2dYWFjA2NiYlQ8AlUoFuVyOiooK5OTkIDMzE7dv38bt27eRlZWFvLw8PHv2TOvtkpaRSqUYOHAg3nvvPbz77rvo2rWrphMLXxkZGcHQ0BA1NTWsH7RSODRBKpXCw8MDHh4emDNnDuLi4pCcnIwTJ0688IYRYZeTkxMGDx6M7t27w8vLC35+fjrp1vdHEokEZmZmMDMzg729PXx8fBASEgIAKC8vx4ULF5CamoqHDx/i4sWLyM3N1Wl97Z2pqSnGjh2L0aNHY/z48Trp2aNt9WfAf3bjxg0UFRXB1tYWLi4urNZA4dBMZmZmmDlzJqZNm4Zr167hwIEDiI+Px+PHj7kuTdCkUil69OiBQYMGYfjw4fDy8oKbm1uDniL6xMrKCoGBgQgMDERtbS0ePHiA1NRUnD17FlevXkVGRgZqa2u5LlOQzM3NERQUhOnTp8Pb2/ul46b0EcMwEIvFqKioQGpqKkxMTDRjLFJSUrBu3ToolUp88MEHrIcDGNJqOTk5zKRJkxg7OzsGAD20+HBycmL8/f2ZCxcuMDU1NYxKpeL6190mKpWKqampYS5evMiMGjWKcXJy4vz/WCgPExMT5s0332QuXbrE2X6ya9cuJiUlpc3buXjxImNoaPjCf6utrS0zd+5cpqamRgtVN41X4xz0VUpKCrZv3474+Hg6KmwDqVSKwYMHIzg4GG+++WazBlLy1d27d5GcnIyEhARcunSJOj20kre3Nz755BMEBARweqawe/duuLq6YsiQIW3aTmlpKbZs2YLS0tIGHR2MjIzQtWtXDBo0CK+99ppO7p3wJhyY/3UzrO92qG/kcjnOnTuHyMhInDp1iutyeMXS0hJTpkxBYGAg+vfvD1tbW65L0pni4mLcvHkTP/zwA3bu3InKykquS+KFLl264Msvv0RQUBAcHBy4Lkdr4aBXWD830ZKKigrmX//6F3P//n2uS2mSTCZjNm7cyDg7O3N+uq3vDwcHByYsLIy5desW1782vXDr1i1m7ty5jL29Pee/G319iEQiJjg4mLlz5w7Xv64GtHVZSZ/wpl8X87+bMoyen+iYmJhg/vz5OHjwIAICAvTyLIdrr7zyCmbOnIkjR45g8+bNTc7e2554enpiy5YtOHr0KEJDQ9GpUyeuS9IrnTp1wqpVq7Bnzx706dOH63IEjzfhAIBXH7ReXl74/vvvsWHDBlhbW3Ndjl7o0KEDQkNDkZSUhG3btuG1117juiS99Nprr+E///kPkpKSMG3aNJiZmXFdEud8fHxw6NAhRERE8LIXEh/xKhz4xtzcHPPnz0dSUhJGjx7NdTmcEYlE8PX1xenTpxETEwNPT0+9Hp2qDyQSCfr27YvY2FicPHkSfn5+vB/A1RomJiZYsGABTp06hcGDB3NdTrvS/vY2DgwcOBDff/89Fi9ezHUpOmdra4tNmzbh1KlTwrpZp0PDhg3DkSNHsGnTJp0P+OOSpaUlNmzYgO+++47OvjlA4aAjNjY2WLlyJdasWYOOHTtyXQ7rJBIJJkyYgDNnziA8PLxdfaixwcbGBmFhYUhKSsKECRMEfxbh7OyMmJgYzJ49m+tS2i1h72F6RiQSYdGiRYiNjUWPHj24Loc1PXv2xK5duxAfH48BAwZwXY6geHl5IT4+Hjt27ED37t25LocVXl5eOHjwIIKDg7kupV2jcOBAYGAg4uLi8Prrr3Ndita99dZbOHToECZPnsx1KYI2ffp0HDp0CKNGjeK6FK0aMWIEDhw4AC8vL65LafcoHDgyYMAAxMXFtXnlKH1hYGCAsLAwJCQkUDdDHenbty8OHDiA+fPnt2hhGn3l7++P+Ph4uLq6cl0KAYUDp7p27Yr4+HiMGTOG61LaxNHRETt37sTmzZvbxf0UfWJpaYmNGzciOjoajo6OXJfTaqNGjcL27dvpxrMeoXDgWOfOnbF9+3aMGDGC61Jaxc/PDwkJCZgyZQrXpbRr06ZNQ3x8PC+7e44YMQLbt29Hly5duC6F/AGFgx5wdHREbGysThYN16ZRo0Zhz5498PHx4boUAsDX1xd79+7FyJEjuS6l2Xx9fREVFfXcNd8Jtygc9ISjoyOio6MxdOhQrkt5KbFYjMDAQOzfvx/Ozs5cl0P+wNnZGbt27cL48eO5LuWl+vXrh8OHDwu21xXfUTjoETs7O+zatQsDBw7kupQmhYSEIDo6msYu6KkuXbogKioKU6dO5bqUF3J1dcWWLVtYXQOZtA2Fg57p1q0bIiMj2V/lqRXEYjE+/vhjREVFtatptfnIxsYGW7duxUcffaR3A+ZMTEywdOlS+Pr6cl0KaYJ+7TUEwO8LmKxfvx6WlpZcl6IhkUiwYMECrF27liaC4wkzMzOsX79e76ZtiYiIQGhoKNdlkJegcNBTQUFBiIiI0JuZaGfOnIlly5bp7drN5PmMjY2xePFizJw5k+tSAPy+Xy9cuJDrMkgzUDjosc8++wwLFizgugyMHj0aa9eu1aszGdJ8ZmZmWLt2LcaOHctpHQMGDMCaNWvQoUMHTusgzUPhoMcMDAzwxRdfYNiwYZzV8MYbbyA2NhYWFhac1UDazsrKClu3bsXw4cM5ad/CwgJr166lnkk8QuGg51555RV89dVXMDY21nnb/fv3x/bt22lFMoHo2rUrtm7dCnd3d523/eGHH3J6kENajsKBB4YMGYLly5frtNeJvb09oqKi0LNnT521Sdjn7u6OnTt36nTQ2YABA7BkyRK96zVFmka/LZ7429/+hrfeeksnbUmlUnzzzTcYNGiQTtojuuXr64sVK1bopNeZlZUVli5dSnMm8RCFA0907NgR//jHP3QyudqsWbN4McKWtN7EiRMxbdo01tuZPHky/P39WW+HaB+FA4+8/vrr+Oijj1htY+DAgViyZAkt4i5wJiYmWL58Oav3H9zc3LB48WJIpVLW2iDsoXDgmfDwcNYWCbKxscGmTZtgb2/PyvaJfrG1tUVMTAxsbGxY2f4XX3xB+xKPUTjwjLm5OebMmcPKthcvXizI1enIi3l7e2PRokVaXyzo1Vdfxbhx47S6TaJbFA48FBgYiHfffVer2xw3bhwt5t4OSSQShIeHa3U9EQMDAyxevJgm1eM5CgcesrCwwJw5c7TW28TGxgYff/wxjVxtp8zMzLBkyRKtzbI7aNAgXq0pQZ6PwoGnhg0bprWurdOnT6c3czvn5+eHDz74oM3bMTExwdy5c2nWXgGgcOApIyMjrFq1qs1rNjs4OOCTTz7RUlWEz+bNmwcPD482bcPLywvvvfeelioiXKJw4LHu3btj1KhRrX69gYEBvv76a14vTE+0x9XVFQsWLGhT19PQ0FCt39wm3KBw4DFDQ0NMnTq11WMSvLy8MGbMGC1XRfgsKCgI/fr1a9Vr3d3dOZ/5lWgPhQPP+fn5YfDgwS1+naGhIcLCwmhSPdKAnZ0dFi5c2Kp5kIKDg/HKK6+wUBXhAoUDz1lYWGD48OGQSCQtep2npycCAwNZqorwmb+/P/r27dui13Ts2JFmXRUYCgcBmD17Nrp169ai18ydOxfm5uYsVUT4rEOHDli2bFmLXjNy5Ei88cYbLFVEuEDhIADW1tYIDg5u9vP79etHPUpIk4YOHQovL69mPVcqlSIgIICWkBUYCgeBaMklogkTJsDExITFagjf2dra4p133mnWc83MzPDmm2+yXBHRNQoHgXj11VfRv3//lz7P2dmZplAmzRISEgJXV9eXPm/o0KE0wZ4AUTgIhIWFBaZPn/7S5wUEBLT4ZiNpn9zd3V/aE04kEmHWrFk6qojoEoWDgHh4eDQ535KxsTHNukpaJCgoCCKR6IU/t7a2Ro8ePXRYEdEVCgcB6d27N3r16vXCnzs5OdGgN9Iib7/9dpMf/p6enjRWRqAoHATE0dER3t7eL/x5QEAALC0tdVgR4TszM7Mml4wdMWJEm+f3IvqJwkFghgwZAkNDw0bfl0gkNLUBaRUfH5/nXlqysrKCj48PBxURXaBwEJiBAwfC2tq60fdtbGxYXS+YCFefPn2eu+9069aN9ikBo3AQGEdHx+eGw7hx42BnZ8dBRYTvXFxcnjv7r52dHWvrTxPuUTgIjImJSaOjObFYjDFjxtBUyqTV+vXr12gqb2traxgbG3NUEWEbhYMA/fneQufOnZs1mImQF3F3d290Rtraqb0JP1A4CNDQoUMbnCU4OTlRd0PSJt27d2/QK8nU1LRNC00R/UfhIECWlpbo0qWL5mt7e3u630DaxM7OrsGKgba2tujTpw+HFRG2UTgIkJGRUYM3cs+ePdu09CMhABqcKfTo0YPuYQkchYMAGRkZwcHBAcDvN6ibGhhHSHP9cVGpP56ZEmGicBAgIyMjzZvXysqqWbO1EvIyDg4OmgWi6DKl8FE4CJBIJNL0P7e1taWjPKIVxsbGmlCgtaKFj8JBoOq7Hdra2tK1YaIVxsbGmv2KzhyEj8JBoOrPHMzNzSEW06+ZtJ1UKtWEAoWD8NGnhkBZWlpCLBbTLKxEayQSCZydnQGA9qt2gMJBoMzMzGBmZkbLNxKtEYlE6Nq1KwA0uagUEQYKB4EyNjaGsbExTYxGtMrKygrA7z3iiLBROAiUgYEBJBIJnf4TrbKwsIBYLKZBle0AhYNA1dXVQaVSaY70CNGGDh06QCKRNLmuNBEGCgeBUiqVUKlUdG2YaJWBgQHEYjGFQztA4SBQarUaKpVKM90BIdqiVqvBMAzXZRCWUTgIlFqthlqtpiM8olUikQgqlQpqtZrrUgjLKBwEqra2FrW1tfQmJlolFouhVquhUCi4LoWwjMJBoJRKJerq6vDs2TOuSyEColKpAAByuZzjSgjbKBwEqv6soaKigutSiIDU708ymYzjSgjbKBwEqqqqCgBQWVnJcSVESOr3p/Lyco4rIWyjcBCo0tJSAEBJSQnHlRAhqd+vioqKOK6EsI3CQaDqj+wKCgo4roQIBcMwyMvLA0AHHe0BhYMAqdVqzZuXTv+JtqhUKuTm5gKgM4f2gMJBgORyOfLz8wH8fgORurMSbairq0NhYSEAoLi4mONqCNsoHARIoVBoLieVlJRAqVRyXBERArlcrjkTrT+DIMJF4SBAtbW1mmvDpaWlmqM9QtqipqZGc7kyIyMD1dXVHFdE2EThIEBFRUWaQCgvL8f169c5rogIQUFBgWacw9OnT3HlyhWOKyJsonAQoB9//FHz95qaGgoHohXnzp3T3L9SKBQ4d+4cxxURNlE4CNDp06cbfJ2eno66ujqOqiFC8bz9iggXhYPAVFVVIScnp8H38vLyqHcJaZOioiJND7h6paWlmpH4RHgoHAQmOzu70diGvLw8PHnyhKOKiBBkZmY2mqerqKiIDjoEjMJBYK5evdooHAoLC5GVlcVRRUQI0tPTNVNn1MvOzsa9e/c4qoiwjcJBQFQqFS5cuNBoXINarcbx48c10y0T0hIqlQqpqamN9iuZTIbz58/TIEuBonAQkKysLKSmpj73Z4mJiTTlAWmVnJycBj3g/ig5OZnmWRIoCgcBSUtLw8OHD5/7s+LiYupdQlrl7t27L9x30tPT6X6WQFE4CIRarca1a9deuHyjWq3G0aNHdVwVEYLLly+DYZjn/uzZs2f45ZdfdFwR0QUKB4EoKyvD3r17m3zOmTNnUFZWpqOKiBDIZDIcOXKkyefs2LGD7jsIEIWDQFy/fh0ZGRlNPicrKwtJSUk6qogIwZkzZ3D//v0mn3Pv3j26ZClAFA4CcfDgwZc+R6FQICUlhY7ySLMdOnTohZeU6lVXVyMxMVFHFRFdoXAQgAcPHjT7jODYsWPUN500S3p6On7++eeXPk+tVuPkyZN0yVJgKBwEICYmptnz6+fn5+PEiRMsV0T4jmEY7Nu3D5mZmc16/oULF+iSpcBQOPDc48ePWzw7ZlxcHGQyGUsVESEoLi7GiRMnXnpJqZ5SqcRPP/1EC0sJCIUDz507dw43b95s0Wvu3r2L+Ph4lioiQpCcnIw7d+606DXHjx/Ho0ePWKqI6BqFA48pFApER0ejtra2Ra9jGAaRkZGorKxkqTLCZ9XV1Vi+fHmLzwKKiorw/fffs1QV0TUKBx67fPlyq1fj+vXXX1/af520T0eOHEFaWlqrXpuQkICnT59quSLCBQoHnqqsrMTy5cshl8tb9XqZTIZt27bR1AekgcLCQmzZsqXVkzSmpaUhMjJSy1URLlA48NSpU6dw+fLlNm3j559/xqlTp7RUERGCY8eOtWk6DJVKhd27dze7lxPRXxQOPPTkyRNERka2eelPhmGwbNkyZGdna6kywmcZGRn497//3eZBkvfv30d8fDwNtuQ5CgceSkhIwKVLl7SyrYKCAroMQAAAkZGRWhsguXHjxpdO50L0G4UDzzx58gTfffedVrcZExNDA5jauZ9//hk7d+7U2vaePHmCXbt2aW17RPcoHHjmm2++0fqSn2VlZdi0aROqq6u1ul3CD8+ePcPf//53rfcy2rp1a5vvixHuUDjwyLFjx7R6dPdHP/74I7Zs2cLKtol+i4qKwsWLF7W+3bKyMqxdu5bG0/AUhQNP5OfnY/ny5ay90Wpra7F69Wo60mtnkpOTsWrVKtTU1LCy/ePHj2Pbtm2sbJuwi8KBB+o/uFs6TUZLlZWVYc6cOSgoKGC1HaIfCgoK8PHHH6O8vJy1NtRqNTZt2oTffvuNtTYIOygceCAxMRFbt27VSVv37t3Dt99+SxOotQOrV69u8fxJrZGXl4fPP//8hUvYEv1E4aDn0tPTERER0eoRqy2lVqsRGRmJPXv26KQ9wo1t27YhKipKZ+0lJiYiNja22bO8Eu5ROOixkpISfPrppzo/JVepVPj73//Oyk1Kwr3z58/j22+/bfMgypZQKpX46quvmrV4ENEPFA56bMWKFZxNb5GXl4d58+bRqnECk56ejvnz52u9O3Rz5OfnIzw8nEbk8wSFgx5iGAbr16/H5s2bOa3j5s2bmDt3LnJycjitg2hHXl4epk+fjtu3b3NWw40bN/D555+jqqqKsxpI81A46KEjR45g1apVenF9NiUlBeHh4az2aCHsKy0tRVhYmF5c1jl06BBWr15NnR70HIWDnrl37x4WLlyoV4u1nzhxAhEREdTbhKcYhsFnn32G48ePc10KgP/fvZVWI9RvFA565ObNm5g4caJeLrW4fft2REREsDZYirCjuroan376KWJjY7kupYFnz57hk08+wYkTJ7guhbwAhYOeuHHjBmbOnIlff/2V61JeaOPGjfjiiy/oejFP1NTUYNGiRdiwYQPXpTxXcXExpk+fjvPnz3NdCnkOCgc9cOvWLUybNo31EdDasHnzZsybN4/uQei5iooKzJo1S6djGVqjrKwMH3zwAc6ePct1KeRPKBw4du/ePYSEhODu3btcl9IsDMMgNjYWM2bMQGFhIdflkOcoKipCaGgo9u7dqxedGl4mNzcX06ZNQ2pqKtelkD+gcODQjRs3MH78eF7OO3P06FGEhobq5f2R9iwnJwfvv/8+jhw5wnUpLZKXl4fJkydrbREr0nYUDhw5evQoJk6ciLS0NK5LabXExESEhITQG1pPpKSkICQkhLeXaNLT0zF16lQkJiZyXQoBhYPOyWQybNiwASEhIYJYRvHy5csYP348YmNjdTb/E2ksOjpaEEfeWVlZGD9+PHbs2IHa2lquy2nXKBx0qLS0FIsWLcLnn38uqC6hhYWFmDt3Lr788kuUlpZyXU67UlJSgoiICISFhSE3N5frcrSiuroa8+bNw+rVqyGTybgup92icNCRnJwc/PWvf8WWLVsEOTJULpdjzZo1GDduHK8vlfHJnTt3MGHCBHz77beCO8qWyWT4+uuvMX/+fAoIjlA4sEypVGLfvn0YPXo0kpOTuS6HdVeuXMHYsWMRGxtLb2qW1NTUYNeuXQgICBD0GIG6ujpER0cjICAAV65c4bqcdofCgUWZmZkIDw/Hhx9+yMseSa2VmZmJOXPmIDQ0FNevX+e6HEG5efMmZsyYgdmzZ7eb2U1/+uknTJo0CWvWrNHpNOPtHYUDSxISEjB+/Hhs27ZNUPcXmkuhUCA+Ph7BwcFYt24dDZpro/Lycqxfvx7+/v6Ii4trd/Nc5ebmIiIiAqGhoXTZUkcoHLTs4cOHWLRoESZNmsSLEc9sy83NxaJFixAcHIwLFy4I8n4Lm9RqNc6fP4+JEyfis88+a9frezMMg71798Lf3x+HDh1CdXU11yUJGoWDlpSXl+O7777Du+++i3Xr1vFiZKounT9/HkFBQZgzZw5damqm69evY/bs2QgODsZ///tfrsvRGxkZGZgyZQpmzJihF1OQCxWFQxvJZDLs3LkTw4YNw6JFi2jltCaUlZVhx44dGBQdzT0AAAX0SURBVDNmDCZPnoxff/0VarWa67L0ilqtRnp6OkJCQjB27FhER0fTJbnnkMvliI+Px7hx4zB37tx2fUbFFgqHVlIoFDhw4AACAwMxc+ZM3L59mz7omqmkpAT79u3D0KFDERYWhl9++YXrkvTClStXEB4ejiFDhmD//v0oKiriuiS9V1JSgqioKPj5+WHlypV48uQJ1yUJhgHXBfBNaWkpjh49iqSkJBw+fJiuobdBaWkpoqKicOzYMUyYMAHDhw/HO++8A0NDQ65L0xmFQoHTp08jOTkZ+/fvpw+3VsrMzMTSpUtx5swZBAQEIDg4GK6urlyXxWsihicXxysqKrBjxw74+/ujZ8+eOm1bqVTi/v37OH78OGJjY5GRkUGhwAJTU1P06tULM2fOxIgRI+Dq6goDA+EdvyiVSmRkZODs2bOIjo5GWloajQnRss6dO2Pq1KmYPHkyPDw8YGRkxGp7u3fvhqurK4YMGcJqO7okvHeeFuXn5+O3335DXFwc4uLiqHcEy2QyGVJTU5GamgoLCwuMHz8eEydORK9eveDk5MR1eW326NEjpKenIy4uDocPH0ZFRQXXJQlWYWEh1q5di82bNyMgIAAzZsxA79694ejoyHVpvEHh8CcKhQKJiYk4dOgQ0tPTce/ePQoFDlRWViImJgZxcXHw8PCAi4sLhg0bhkmTJsHOzo7r8pqtuLgYCQkJOHv2LLKysugsQcdqampw4MABnDhxAr1794a7uzumTp2Kt956CxKJhOvy9Fq7v6xUWVmJJ0+e4Ny5c0hJScHNmzeRmZnZLgeu6TuxWAwHBwd4eHjA29sb/v7+cHV1hYWFBeuXDZpDoVCgsrISGRkZOH36NK5cuYK0tDTk5+dTZwU90qFDB3Tv3h39+/fH22+/DW9vb3Tq1Ammpqat3qYQLyvxKhxiYmIQEBAANze3Vm8jIyMDmZmZyM/PR25uLlJTU3Hx4kW6h8BTPXr0wMCBA+Hu7o4uXbrAwcEBPXr0gLOzM4yNjVlrVy6XIzs7GxkZGcjLy8Pjx4+Rnp6O1NRUPHjwgLV2ifZZWlrCz88P/fv3h729PZycnNC9e3d069at2Z0j9uzZAxcXF0GFA28uKxkYGEAulyMzMxOmpqaQSCQQi8VgGAYMw6C2thYymQxyuRwymQxPnz5FaWkpSkpK8PjxY+Tm5iI3NxfZ2dnIy8ujQWoC8eDBgwYfxoaGhnBxcUHXrl3h4OAABwcHdO7cGdbW1rC2toalpSVMTU1hbGyseUgkEohEIjAMA5VKBblcDrlcDoVCgerqajx9+hTl5eUoKytDYWEh8vLyUFBQgJycHDx69KjdTWUhNBUVFTh58iROnjwJADAyMoKLiwucnJzg7OwMR0dH2Nraws7ODtbW1jAzM4OxsTFMTU1haGgIAwMDlJaWCq53lF6eOVRUVCA/Px8Mw0AkEkEkEqGmpgZff/01kpOTYWBg8NIPd6VSCaVSibq6OtTW1mpO68VisebDQCQS6eKfQ3Sgfn9Qq9VQqVSaryUSieYNbGBgoPndN4dIJNJsr35/qq2t1SxqJBKJNAcp9V8T/nrRPiSVSmFgYKD588/3KkQiEaRSKQ4ePAgfHx+d180WvTxzKCsrw9WrVzW/HJFIhOrqakgkEoSFhcHKygq1tbUNwkMqlcLIyAhGRkaQSqWaN+qf/yTtS/0+9Mc/lUolFAoFFAoF6urqoFarNfuSWCxusC8ZGBjQvtTONbUP1e8/QhwEq5fh4OLiAhcXlwbfUygUUKvVCAwMFES3RkKIcMTFxQkuHHgzfYZcLkddXR3kcjnXpRBCSANCW4kP4FE4AKCbyIQQvSTEzybehINIJIKJiQkNXCGE6J36nktCope9lZ5HrVajqqoKpqamkEqlXJdDCCEaMpkMEolELwZjagtvwoEQQoju8OayEiGEEN2hcCCEENIIhQMhhJBGKBwIIYQ0QuFACCGkEQoHQgghjVA4EEIIaYTCgRBCSCMUDoQQQhqhcCCEENIIhQMhhJBGKBwIIYQ08v8AoiGrRXii4zYAAAAASUVORK5CYII=)
Hint:
Find the length and breadth of the rectangle From radius of circles .
The area of shaded region = area of rectangle - area of unshaded region .
The correct answer is: 49.92036 cm2
Ans :- 49.92036 cm2.
Explanation :-
Radius of circle r = 5 cm
Step 1:- Find length , breadth and area of rectangle
Length = r+2r+r = 4r = 4×5 = 20 cm
Breadth = 2r (diameter of semicircle) = 2×5 = 10 cm
Area of rectangle = l × b = 20×10 = 200 cm2.
![](data:image/png;base64,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)
Step 2:- Find Area of Unshaded region .
Area of unshaded region = area of semi circle + area of circle + area of semicircle
Area of unshaded region = 2 × area of circle = ![2 cross times pi cross times r squared](data:image/png;base64,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)
![equals 2 pi left parenthesis 5 right parenthesis squared equals 50 pi](data:image/png;base64,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)
Step 3:- Find area of shaded region
The area of shaded region = area of rectangle - area of unshaded region .
The area of the shaded region = ![200 minus 50 pi equals 42.92036 cm squared](data:image/png;base64,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)
Related Questions to study
Find the missing values
![](data:image/png;base64,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)
Find the missing values
![](data:image/png;base64,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)
The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. Find the capacity of the bucket.
The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. Find the capacity of the bucket.
The front row of an auditorium has 10 seats. There are 50 rows in total. If each row has 2 more seats than the row before it, which expression gives the total number of seats in the last row?
The front row of an auditorium has 10 seats. There are 50 rows in total. If each row has 2 more seats than the row before it, which expression gives the total number of seats in the last row?
Find the missing values
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)
Find the missing values
![](data:image/png;base64,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)
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)
The table above shows selected values for the function h . In the x y -plane, the graph of y = h(x) h is a line. What is the value of (8) ?
Note:
After finding the equation y = 2x + 3 , we can verify it by putting the third point in the equation and check if it lies on the line, that is, the third point which is lies on
So, the equation is the graph of
.
![](data:image/png;base64,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)
The table above shows selected values for the function h . In the x y -plane, the graph of y = h(x) h is a line. What is the value of (8) ?
Note:
After finding the equation y = 2x + 3 , we can verify it by putting the third point in the equation and check if it lies on the line, that is, the third point which is lies on
So, the equation is the graph of
.
A man reaches a spot from his home in 6 hrs by walking, but he can reach the same spot from his home within 2 hrs by cycle. If the given average cycling speed is 7km/hr faster than his average walking speed, then find the average cycling and walking speeds.
A man reaches a spot from his home in 6 hrs by walking, but he can reach the same spot from his home within 2 hrs by cycle. If the given average cycling speed is 7km/hr faster than his average walking speed, then find the average cycling and walking speeds.
Find the area of the following figure:
![](data:image/png;base64,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)
Find the area of the following figure:
![](data:image/png;base64,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)
Given a rectangular room whose width is 4/7 of its length y and perimeter z. Write down an equation connecting y and z. Calculate the length of the rectangular room when the given perimeter is 4400 cm.
Given a rectangular room whose width is 4/7 of its length y and perimeter z. Write down an equation connecting y and z. Calculate the length of the rectangular room when the given perimeter is 4400 cm.
A drainage tile is a cylindrical shell 21 cm long. The inside and outside diameters are 4.5 cm and 5.1 cm respectively. What is the volume of the clay required for the tile?
A drainage tile is a cylindrical shell 21 cm long. The inside and outside diameters are 4.5 cm and 5.1 cm respectively. What is the volume of the clay required for the tile?
Find the area of the given figure.
![](data:image/png;base64,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)
Find the area of the given figure.
![](data:image/png;base64,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)
Four years back in time, a father was 3 times as old as his son then was. 8 years later father will be 2 times as old as his son will then be. Find the ages of son and father.
Four years back in time, a father was 3 times as old as his son then was. 8 years later father will be 2 times as old as his son will then be. Find the ages of son and father.
A number which is formed by two digits is 3 times the sum of the digits. While interchanging the digits it is 45 more than the actual number. Find the number.
A number which is formed by two digits is 3 times the sum of the digits. While interchanging the digits it is 45 more than the actual number. Find the number.
The gas mileage M (s), in miles per gallon, of a car traveling s miles per hour is modeled by the function below, where
.
![M left parenthesis s right parenthesis equals negative 1 over 24 s squared plus 4 s minus 50](data:image/png;base64,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)
According to the model, at what speed, in miles per hour, does the car obtain its greatest gas mileage?
Note:
We could have also used the first derivative test to find the local
maxima. We need to find critical points and then check whether the
function is increasing or decreasing on either side of the critical
point. If the function is increasing , i. e ., on the left side
and the function is decreasing, i. e ., on the right hand side, then we say that is a local maxima.
The gas mileage M (s), in miles per gallon, of a car traveling s miles per hour is modeled by the function below, where
.
![M left parenthesis s right parenthesis equals negative 1 over 24 s squared plus 4 s minus 50](data:image/png;base64,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)
According to the model, at what speed, in miles per hour, does the car obtain its greatest gas mileage?
Note:
We could have also used the first derivative test to find the local
maxima. We need to find critical points and then check whether the
function is increasing or decreasing on either side of the critical
point. If the function is increasing , i. e ., on the left side
and the function is decreasing, i. e ., on the right hand side, then we say that is a local maxima.