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Question

Find the area of circles whose circumference are

(1) 88 cm

(2) 7π cm

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Solution

(1) C = 2πr

88 = 2 × × r

r =

r = 14 cm

A = πr2

A = π × r × r

= × 14 × 14

= 616 cm2

(2) C = 2πr

7π = 2 × π× r

Cancelling π on both the sides of the equation:

r =

r = 3.5 cm

A = πr2

A = π × r × r

= × 3.5 × 3.5

= 38.5 cm2


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