Question

a wire is in the form of a square of side 27.5 cm. It is straightened and bent into the shape of a circle. find the area of the circle

Please solve this question and its answer is 962.5 cm^2

Answer 1

Answer:

QED

Step-by-step explanation:

Perimeter of Square = 4 * 27.5 = 110 cm

Perimeter of circle = 2 * Pie * R = Perimeter of square

2 * (22/7) R = 110

R = 35/2 cm

Area of circle = Pie * R^2

= (22/7) * (35/2)^2

= (22/7)(35/2)(35/2)

= 11 * 5 * 35 /2

= 1925/2

= 962.5 cm ^2

QED

Answer 2

Answer:

Area = 962.5 cm^2

Step-by-step explanation:

Perimeter of square = 4*side = 4*27.5 = 110 cm = Circumference of circle

= 2 pi r

110 = 2*22/7*r

r = 110*7/44 = 17.5 cm

Area of circle = pi r^2 = 22/7 * (17.5)^2 = 962.5 cm^2

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