PLZZ IN NEED HELP! Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Question

asked Jun 21, 2021 87.5k views

1 Answer

Make · Answer 1 · 2021-06-27T01:30:42+0000

Answer:

$18\pi\ cm^2$

Explanation:

step 1

Find the area of complete circle

The area of the circle is given by the formula

$A=\pi r^(2)$

we have

$r=9\ cm$

substitute

$A=\pi (9)^(2)$

$A=81\pi\ cm^2$

step 2

Find the area of the shaded region

we know that

The area of complete circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of the shaded region if the central angle is equal to 80 degrees

$(81\pi)/(360^o)=(x)/(80^o)\\\\x=81\pi(80)/360\\\\x= 18\pi\ cm^2$