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Surface Areas And Volumes

Question

Wired Faculty App

Find the area of a quadrant of a circle whose circumference is 22 cm.

Solution

Here, we have
Circumference = 22 cm

rightwards double arrow space space space space space space space 2 πr space equals space 22 space cm

rightwards double arrow space space straight r space space space equals space fraction numerator 22 over denominator 2 straight pi end fraction rightwards double arrow space space straight r space space space equals space fraction numerator 22 cross times 7 over denominator 2 cross times 22 end fraction rightwards double arrow space space straight r space space space equals space 3.5 space cm space space

Now, Area of quadrant

equals space 1 fourth πr squared equals space open parentheses 1 fourth cross times 22 over 7 cross times 3.5 cross times 3.5 close parentheses space space cm squared equals space space open parentheses fraction numerator 269.5 over denominator 28 end fraction close parentheses space cm squared space equals space 9.625 space space cm squared

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