Question

A circle of radius 7.5 cm is inscribed in a square. Find the area outside the circle and inside the square.

Answer 1

Given: Radius of circle r = 7.5 cm; circle is inscribed in the square so square side = diameter = 2r = 15 cm.

Step-wise calculation:

1. Side of square s = 2r = 15 cm.

2. Area of square = s²

= 15²

= 225 cm²

3. Area of circle = πr²

= π × (7.5)²

= 56.25π cm²

4. Required area = Area(square) – Area(circle)

= 225 – 56.25π cm²

5. Numerical value (π ≈ 3.1416):

56.25π ≈ 176.71 

So 225 – 176.71 ≈ 48.29 cm²

Area outside the circle and inside the square = 225 – 56.25π cm² ≈ 48.29 cm².