Question

Find the area of a circle whose circumference is the same as the perimeter of a square of side 22 cm. (Take π = 22/7)

Answer 1

176cm²

Explanation:

Side of square = 22cm

Perimeter of square = 88cm

Circumference of circle = perimeter of square

2π r = 88cm

2 x 22/7 x r = 88cm

44/7 x r = 88cm

r = 88 x 7/44

r = 14cm

Area of circle = π x r x r

= 22/7 x 14 x 14

= 44 x 4

= 176 cm²

Answer 2

Perimeter of a square=circumference of circle

4×22=2πr

44=πr

r=14

Area of circle=πr2

22/7×14×14

28×22

616