What is the approximate area of the shaded sector in the circle shown below?

Question

asked Jul 18, 2018 185k views

2 Answers

Tanzania · Answer 1 · 2018-07-22T02:59:08+0000

we know that

The area of the circle is equal to

$A=\pi r^(2)$

where

r is the radius of the circle

In this problem we have

$r=6\ cm$

Substitute the value of r in the formula

$A=\pi (6^(2))=113.10\ cm^(2)$

Remember that

The area of
$113.10\ cm^(2)$ subtends the complete circle of
$360\°$

so

by proportion

Find the area for the shaded sector of
$60\°$

$(113.10)/(360) (cm^(2) )/(degrees)=(x)/(60) (cm^(2) )/(degrees) \\ \\x=60*113.10/360 \\ \\x= 18.85\ cm^(2)$

therefore

The answer is

The approximate area of the shaded sector is
$18.85\ cm^(2)$