Question

a square of 8 cm is inscribed in a circle find the area of the circle​

Answer 1

i think you possibly missed out if 8 cm is the side or the diagonal, but I'll tell you the solution for both so you can work it out.

if 8cm is the side of square.

then let a=8cm

we know that diagonal of the square is a√2

therefore diagonal =8√2

diagonal of square is supposed to be the diameter of the circle.

why? because diagonal is the largest length inside a square. and diameter is the largest chord of the circle.

hence, diameter D=8√2

therefore radius = 4√2

hence area = π×(4√2)^2

= 100.53

if 8cm is the diagonal of square.

if 8 cm is the diagonal, then

diameter of circle, D = 8cm

radius, R = 4 cm

area = πR^2

= π×4×4

=50.2

that is your required answer.