The area of a given square wire that is bent is 100 cm². Find the circumference of the circle that is made from the same wire when re-bent.

A: 30.31cm

B: 10cm

C: 5.64cm

D: 35.45cm

Correct Answer : D

The Area of the two shapes will be equal. so hence area of circle = 100 cm²

Area  = πr²

100 = (22/7) × r²

Radius = 5.64 cm
we, use thr radius to get the circumference of the circle

Circumference = 2πr

Circumference = 2 × (22/7) × 5.64

C = 35.45 cm

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