Question

A 3 cm x 3 cm rectangle sits inside a circle with radius of 4 cm.

What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answer 1

Given:

Rectangle inside a circle.

To find:

The area of the shaded region.

Solution:

Length of a rectangle = 3 cm

Width of a rectangle = 3 cm

Area of a rectangle = length × width

= 3 × 3

Area of a rectangle = 9 cm²

Radius of a circle = 4 cm

Area of a circle = πr²

= 3.15 × 4²

Area of a circle = 50.24 cm²

Area of shaded region = Area of circle - Area of rectangle

= 50.24 - 9

= 41.24 cm²

The area of the shaded region is 41.24 cm².