Question

find the area of a square inscribe in a circle of radius 12 cm

Answer 1

r = 12 cm, d = 2r = 24 cm
The square with the maximum diagonal will have it's diagonal coincide with it's diameter.
Therefore,
a√2 = 24 cm
a = 12√2 cm
Area = a² = 288 cm²

Answer 2

r = 12 cm, d = 2r = 24 cm

The square with the maximum diagonal will have it's diagonal coincide with it's diameter.

Therefore,

a√2 = 24 cm

a = 12√2 cm

Area = a² = 288 cm²