Question

A circle with radius of 2 cm 2cmstart color greenD, 2, space, c, m, end color greenD sits inside a circle with radius of 4 cm 4cmstart color blueD, 4, space, c, m, end color blueD. What is the area of the shaded region? Round your final answer to the nearest hundredth.

Answer 1

Answer:

The area of the shaded region is $37.70\ cm^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle color blue minus the area of the circle color green

The area of the circle is equal to

$A=\pi r^{2}$

so

$A=\pi (4^{2})-\pi (2^{2})=12\pi\ cm^{2}$

assume

$\pi =3.14156$

$A=12(3.14156)=37.70\ cm^{2}$