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.

Question

asked Apr 21, 2020 127k views

2 Answers

Kszl · Answer 1 · 2020-04-27T02:09:21+0000

Answer:

The area of the shaded region is
$44.24\ cm^(2)$

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

$\pi=3.14$

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