Question

A circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.

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

Answer 1

128.86 square centimetres

Explanation:

I will assume that the shaded region is the area in between the circle and the rectangle.

All we have to do is find the area of the circle and subtract it from the area of the rectangle.

Area of a circle is given as:

`A = \pi r^2`

where r = radius

The radius of the circle is 1 cm, so, the area of the circle is therefore:

`A = \pi * 1^2` = 3.14 square centimetres

The area of a rectangle is given as:

A = L * B

The dimensions of the rectangle are 11 cm by 12 cm. The area of the rectangle is:

A = 11 * 12 = 132 square centimetres

The area of the shaded part is therefore:

A = 132 - 3.14 = 128.86 square centimetres