Question

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

• A. $144$cm^2$$
• B. $136$cm^2$$
• C. 64 $cm^2$
• D. $128$cm^2$$

Answer 1

Answer:

$128$cm^2$$

Diameter of the circle = 2 × 8 = 16 cm.

Diagonal of the square = √2 a

As we know

If square inscribed in a circle, then

Diagonal of the square = Diameter of the circle

√2 a = 16

⇒ a = 16/√2

⇒ a = 8 √2

Area of the square = a² = 8 √2 $\times$ 8 √2 = 128 cm²