Question

square of the area 64 CM square is inscribed in a circle find the area of a circle​

Answer 1

➡️Given the area of the square is 64 cm²

➡️Then its side will be of length 8 cm.

➡️Then its diagonal will be of length is

$8\sqrt{2}$

➡️Since the square is inscribed in a circle then the diagonal of the square will be the diameter of the circle.

Let r be the radius of the circle.

$then \: 2r = 8 \sqrt{2} \\ or \: r = 4\sqrt{2}$

$\colorbox{cyan}{then \: the \: area \: of \: circle \: = }$

$\frac{22}{7} \times (4 \sqrt{ {2}^{2} } ) = 3.14 \times 32$

$\huge \colorbox{cyan}{ = 100.48cm}$