Question

A sector of a circle has a central angle of 150 ∘ . Find the area of the sector if the radius of the circle is 6 cm.

Answer 1

Answer:

$A = 15\pi$

Step-by-step explanation:

1. 150 degrees is 5/12 of a circle

2. Find area but divide by 5/12:

$A = \frac{5}{12} \pi (6)^2$

3. Solve

$A = \frac{5}{12} \pi (36)$

4. Simplify

$A = 15\pi$