Math, asked by techiangung6763, 1 year ago

A wire , when bent in the form of a square ,encloses an area of 196 cm.if the same wire is bent to form a circle, find the area of the circle

Answers

Answered by inhumandrowsey
1

Area of square = 196 cm²

Area of square = (side)² = a²

a² = 196

a = √196

a = 14 cm

Perimeter of square = 4a

= 4 x 14

= 56 cm

Perimeter of the square = perimeter of the circle

Perimeter of the circle = 2πr

So, 2πr = 56

2*22/7*r = 56

22r/7 = 28

r = 196/22

r = 98/11

Area of circle = πr² = 22/7 * 98/11 * 98/11

= 124.72 cm²


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