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

Answer:

$397.16 \: cm^{2}$

Step-by-step explanation:

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

Therefore,

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

$= \pi {r}^{2} - lw \\ = 3.14 \times {12}^{2} - 5 \times 11 \\ = 3.14 \times 144 - 55 \\ = 452.16 - 55 \\ = 397.16 \: {cm}^{2}$