Find the area of a square inscribed in a circle of radius 8 cm.

Correct option is D

Given:

The radius of the circle is 8 cm.

Concept Used:

If a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle.

The area of the square can be found using the formula: Area = $$(diagonal)^2 / 2$$​​

Solution:

Diameter = 2 × Radius = 2 × 8 = 16 cm

Since the diagonal of the square is equal to the diameter of the circle, the diagonal of the square is 16 cm.

the area of the square.

​$$Area = (diagonal^2) / 2 = (16^2) / 2 = 256 / 2 = 128 cm²$$​​