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Find the area of the shaded region in terms of pi.

Etrujillo

New member
Dec 12, 2018
9
So far i have.

12) area of full circle is πr²
area of sector is (120/360)(πr²) or 12π

13) same
area is (270/360)(πr²)

Am i correct?

20181204_093323-4.jpg
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
644
#12 is correct ... finish #13
 

Etrujillo

New member
Dec 12, 2018
9
Im assuming 12m is the radius so \frac{270}{360}pi×12squared=108 pi
Am i correct?
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,736
\(\displaystyle A=\frac{1}{2}r^2\theta=\frac{1}{2}(12\text{ m})^2\frac{3\pi}{2}=108\pi\text{ m}^2\quad\checkmark\)