A wire is bent to form a square of side 22 cm . If the wire is re-bent to form a circle, calculate the circumference of the circle obtained.

A: 57.97cm

B: 67.03cm

C: 12.41cm

D: 78cm

Correct Answer : D

Area of square = L²

Area of square = 22²

= 484 cm²

Area is equal therefore area of circle = 484 cm²

484 = πr²

484 = (22/7) x r²

Divide both sides by the value of pie and find the square root there after

Radius =12.41 cm

Circumference = 2πr

Circumference = 2×(22/7) × 12.41

C = 78 cm

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