Mathematics
Grade-7
Easy

Question

Determine the area of circle with a circumference of 62.8 yards.

  1. 49.25
  2. 314
  3. 102.6
  4. 89

The correct answer is: 314


    c i r c u m f e r e n c e space equals space 2 straight pi straight r
C equals 2 pi r
2 pi r equals 62.8
2 cross times 3.14 cross times r equals 62.8
r equals fraction numerator 62.8 over denominator 6.28 end fraction
straight r equals 10
text  Area  end text equals pi r squared
space space space space space space space space space equals 3.14 cross times 10 squared
space space space space space space space space equals 3.14 cross times 100 equals 314 text  square yards.  end text

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