Question

The area of the square that can be inscribed in a circle of radius 8 cm is ______.

Answer 1

The area of the square that can be inscribed in a circle of radius 8 cm is 128 cm².

Explanation:

The circle’s diameter = 2 × 8 = 16 cm, which equals the square’s diagonal. 

If side = s, diagonal = `ssqrt(2) = 16` 

⇒ `s = 16/sqrt(2)` 

= `8sqrt(2)` 

Area = s²

= `(8sqrt(2))^2` 

= 128 cm²