Question

A 3cm x 2cm rectangle sits inside a circle with radius of 4 cm. 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 $44.24\ cm^{2}$

Step-by-step explanation:

we know that

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

step 1

Find the area of circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=4\ cm$

substitute

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

$A=16\pi\ cm^{2}$

step 2

Find the area of rectangle

The area of rectangle is equal to

$A=(3)(2)=6\ cm^{2}$

step 3

Find the difference

$16\pi\ cm^{2}-6\ cm^{2}$

assume

$\pi=3.14$

$16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}$