Question

Point P is the center of the circle below. What is the exact area

of the shaded sector in terms of pi?

A. 16 pie units?
B. 48 pi units?
C. 120 pi units?
D. 192pi units
NEED HELP ASAP PLEASE

Answer 1

`Area =192\pi`

Explanation:

Given

`\theta = 120^o`

`r =24`

Required

The area of the shaded sector

This is calculated as:

`Area =(\theta)/(360) * \pi r^2`

This gives

`Area =(!20)/(360) * \pi *24^2`

`Area =(1)/(3) * \pi *576`

`Area =\pi *192`

`Area =192\pi`