A 4cm×6cm rectangle sits inside a circle with a radius of 11cm. what is the shaded region? round to the nearest hundredth.

Question

asked Oct 13, 2020 45.4k views

2 Answers

Michelle Wetzler · Answer 1 · 2020-10-17T10:30:35+0000

Answer:

The area of the shaded region is
$355.94\ cm^(2)$

Explanation:

we know that

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

so

$A=\pi r^(2)-bh$

we have

$r=11\ cm$

$b=4\ cm$

$h=6\ cm$

assume

$\pi =3.14$

substitute

$A=\pi (11^(2))-4*6=121 \pi-24=121*(3.14)-24=355.94\ cm^(2)$