Question

A circle with radius of 3 cm\greenD{3\,\text{cm}}3cmstart color #1fab54, 3, start text, c, m, end text, end color #1fab54 sits inside a circle with radius of 11 cm\blueD{11\,\text{cm}}11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?

Round your final answer to the nearest hundredth.

Answer 1

Answer:

351.86 Square inches (to the nearest hundredth)

Step-by-step explanation:

The shaded region is referred to as the Annulus of two concentric circles.

To find the area of the shaded region is to subtract the area of the smaller circle from the area of the larger circle.

Let the radius of the larger circle=R

Let the radius of the smaller circle=r

Area of shaded region$=\pi R^2-\pi r^2= \pi(R^2- r^2)$

R=11cm, r=3cm

Therefore:

Area of shaded region

$= \pi(11^2- 3^2)\\=112\pi\\=351.86 square inches (to the nearest hundredth)$