Mathematics
Grade-7
Easy

Question

The area of a circle is 2464 square feet. Determine its perimeter.

  1. 112
  2. 176
  3. 254
  4. 147

hintHint:

area = πr squared
perimeter of circle = 2πr

The correct answer is: 176


    A r e a space equals pi r squared equals 2464
r to the power of 2 space end exponent equals space 2464 over straight pi space space space space comma space space left parenthesis space straight pi space equals 22 over 7 space right parenthesis
straight r to the power of 2 space end exponent equals space fraction numerator 2464 over denominator begin display style 22 over 7 end style end fraction
r squared equals 2464 over 22 cross times 7
r squared equals 784
r equals 28 text  feet.  end text
p e r i m e t e r space equals space 2 πr
C equals 2 pi r
C equals 2 cross times 22 over 7 cross times 28
straight C equals 176 text  feet  end text

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