Find the area of the sector in terms of pi

Question

asked Sep 11, 2023 233k views

2 Answers

RobotNerd · Answer 1 · 2023-09-12T05:13:24+0000

Answer:

Area = 48π

Explanation:

Area of the Sector

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

r ... radius

Given:

diameter = 24

angle = 120°

Radius is half the diameter.

r = 12

Insert values in the formula.

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

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

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

$\text{A} = \pi * 144 * (1)/(3)$

$\text{A} = \pi 48$

$\text{A} = 48 \pi$