Question

A square metallic frame has perimeter 308 cm .It is bent in the shape of a circle . Find the area of a circle . Find the area of a circle formed.

Answer 1

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Answer 2

Given - Perimeter of square = 308 centimetres

Find - Area of circle.

Solution - The perimeter of square states the length of frame. This length will be the circumference of circle formed. Thus, perimeter of square is equal to circumference of circle.

Circumference of circle = 2πr, where r represents radius of circle.

Now, perimeter of square = circumference of circle.

308 = 2*3.14*r

r = 49 centimetres

Area of circle = πr²

Area of circle = 3.14*49²

Area of circle = 7552.8 or 7553 centimetres²

Thus, area of circle = 7553 centimetres² or 75.53 metres².