Question

Find the area of the sector in terms of pi

Answer 1

Answer: 4 pi

Step-by-step explanation:

Answer 2

Answer:

Area = 48π

Step-by-step explanation:

Area of the Sector

$\text{area of sector} = \pi r^2 \times \frac{\text{angle in degrees}}{360^\circ}$

r ... radius

Given:

diameter = 24

angle = 120°

Radius is half the diameter.

r = 12

Insert values in the formula.

$\text{A} = \pi r^2 \times \frac{\text{angle in degrees}}{360^\circ}$

$\text{A} = \pi (12)^2 \times \frac{(120)^\circ}{360^\circ}$

And calculate. But do not multiply with pi. Only multiply numbers.

$\text{A} = \pi \times 144 \times \frac{1}{3}$

$\text{A} = \pi 48$

$\text{A} = 48 \pi$