Which of these is the area of a sector of a circle with r = 18”, given that its arc length is 6π?

Question

asked Oct 5, 2017 21.0k views

2 Answers

Sybuser · Answer 1 · 2017-10-09T10:24:22+0000

Answer:

$169.65\text{ inch}^2$

Explanation:

We have been given that the radius of our given circle is 18 inches and the arc length that corresponds to sector is 6 pi.

To find the area of our given sector we will use formula:

$\text{Area of sector}=\pi r^2*\frac{\text{Arc length}}{\text{Circumference of circle}}$

Upon substituting our given values in above formula we will get,

$\text{Area of sector}=\pi*18^2*(6\pi)/(2\pi*18)$

$\text{Area of sector}=\pi*324*(1)/(6)$

$\text{Area of sector}=\pi*54$

$\text{Area of sector}=169.64600329\approx 169.65$

Therefore, the area of our given sector is 169.65 square inches.