Question

A circle with a radius of 3cm sits inside a circle with a radius of 11cm. What is the area of the shaded region? Round your answer to the nearest 100th. NOTE: The larger circle is shaded ( the smaller circle isnt )

Answer 1

Answer:

$A=351.68\ cm^2$

Step-by-step explanation:

we know that

The area of the shaded region is equal to subtract the area of the smaller circle from the area of the larger circle

so

$A=\pi(r_b^2-r_a^2)$

we have

$r_b=11\ cm$ ----> radius of large circle

$r_a=3\ cm$ ----> radius of smaller circle

assume

$\pi=3.14$

substitute

$A=3.14(11^2-3^2)=351.68\ cm^2$