Question

A4cm x 6 cm rectangle sits inside a circle with radius of 11 cm.

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

Answer 1

Answer: 355.94 cm squared

Explanation:

= 3.14 x (11)²

= 3.14 x 121

= 379.94 - 24

= 355.94 centimeters squared

Answer 2

355.94 cm squared

Explanation:

Area of rectangle = 4 cm * 6 cm = 24 square cm

Radius (r) of circle = 11 cm

`Area \: of \: circle = \pi {r}^(2) \\ \\ = 3.14 * (11)^(2) \\ \\ = 3.14 * 121 \\ \\ = 379.94 \: {cm}^(2) \\ \\ area \: of \: shaded \: region \\ \\ = 379.94 - 24 \\ \\ = 355.94 \: {cm}^(2) \\`