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

[Etrujillo]

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?

View attachment 8706

 

[skeeter]

#12 is correct ... finish #13

 

[Etrujillo]

Im assuming 12m is the radius so \frac{270}{360}pi×12squared=108 pi
Am i correct?

 

[MarkFL]

$$A=\frac{1}{2}r^2\theta=\frac{1}{2}(12\text{ m})^2\frac{3\pi}{2}=108\pi\text{ m}^2\quad\checkmark$$