A circle with radius of 5cm sits inside a 11cm×11cm rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth.

Question

asked Mar 18, 2020 149k views

2 Answers

Sgedda · Answer 1 · 2020-03-24T00:59:50+0000

Answer:

The area of the shaded region is
$42.46\ cm^(2)$

Explanation:

we know that

The area of the shaded region is equal to the area of rectangle minus the area of the circle

see the attached figure to better understand the problem

Find the area of rectangle

$A=11*11=121\ cm^(2)$

Find the area of the circle

$A=\pi r^(2)=(\pi )(5^(2))= 78.54\ cm^(2)$

Find the area of the shaded region

$121\ cm^(2)-78.54\ cm^(2)=42.46\ cm^(2)$