Question

find the area of circle whose circumference is same as the perimeter of the square of side 88 CM​

Answer 1

Solution-

Let the radius be x

Circumference equal to 88cm

Circumference of circle=2πr

=88cm =2*22/7*x

88*7 =44x. (cross multiply)

88/44*7. =X

2*7. =X

14cm. =Radius

Answer 2

here is ur answer:

square

side = 88 cm

ATQ,

circumference = perimeter of the square

2 π r = 4 × side

$2 \times \frac{22}{7} \times r = 4 \times 88 \\ \\ 2 \times \frac{22}{7} \times r = 352 \\ \\ \frac{22}{7} \times r = \frac{352}{2} \\ \\ \frac{22}{7} \times r =176 \\ \\ r = \frac{176 \times 7}{22} \\ \\ r = 8 \times 7 \\ \\ r = 56cm$

now,

$area \: of \: circle =\pi {r}^{2} \\ \\ area \: of \: circle = \frac{22}{7} \times 56 \times 56 \\ \\ area \: of \: circle = 22 \times 8 \times 56 \\ \\ area \: of \: circle =176 \times 56 \\ \\ area \: of \: circle =9856 {cm}^{2}$

hope it helps you!