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Maths-

General

Easy

Question

In the given figure OACB is a quadrant of a circle. The radius OA = 3.5 cm, OD = 2cm. Calculate the area of shaded portion

hint Hint:

Area of a quadrant of a circle is one fourth of the area of a circle.

The correct answer is: 6.125 cm2

It is given that radius of the circle = 3.5 cm
Area of the circle = $straight pi$ r²
= $22 over 7$ × (3.5)² = 38.5 cm²
Area of quadrant of a circle = $fraction numerator text area of circle end text over denominator 4 end fraction$ = $fraction numerator 38.5 over denominator 4 end fraction$ = 9.625 cm²
Now, Area of triangle OAD = $1 half$ × base × height
= $1 half$ × 3.5 × 2 = 3.5 cm²
Area of shaded region
= Area of quadrant of the circle – Area of triangle
= 9.625 – 3.5 = 6.125 cm²

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