Question

find the area of square that can be inscribed in a circle of radius 7cm

Answer 1

radius=3.5
area of circle=pi ×r^2
=22/7×3.5×3.5
=38.5
area of square=7×7=49cm^2

Answer 2

let ABCD be a square inscribe in a circle of radius 7cm

so diameter of circle is equal to diagonal of square

diagonal of square =2×7 =14 -----------(1)

by formula

diagonal of square = √2 ×side --------(2)

on equating eq . (1) and( 2)

√2 ×side = 14

side = 14/√2 cm

so.. area of square = side × side
= 14/√2 ×14 /√2

=196 /2 =98 cm^2