Question

The area of the circle that can be inscribed in a square of side 6 cm is ______.

Options

• 36π cm²

• 18π cm²

• 12π cm²

• 9π cm²

Answer 1

The area of the circle that can be inscribed in a square of side 6 cm is 9π cm².

Explanation:

Given, side of square = 6 cm

∴ Diameter of a circle, (d) = Side of square = 6 cm

∴ Radius of a circle (r) = `"d"/2 = 6/2` = 3 cm

∴ Area of circle = π(r)²

= π(3)²

= 9π cm²