Question

A 5cm×11cm rectangle sits inside a circle with a radius of 12cm. What is the area of the shaded region?

Round your final answer to the nearest hundredth.

Answer 1

`397.16 \: cm^(2)`

Explanation:

Since, rectangle is inscribed in a circle with radius 12 cm.

Therefore,

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

`= \pi {r}^(2) - lw \\ = 3.14 * {12}^(2) - 5 * 11 \\ = 3.14 * 144 - 55 \\ = 452.16 - 55 \\ = 397.16 \: {cm}^(2)`