Question

Find the area of a sector with an arc length of 60cm and a radius of 15cm.

Answer 1

Answer: 75$\pi$/2 or $117.81$

Step-by-step explanation:

-To find the area of a sector, you need the equation:

$\frac{Arc}{360} \pi r^2$

-Set the measurements onto the equation:

$\frac{60}{360}$ × $\pi (15)^2$

-Then, you solve:

$\frac{60}{360}$ × $\pi (15)^2$

$\frac{1}{6}$ × $\pi (15)^2$

$\frac{1}{6}$ × $225=\frac{75}{2}$

$\pi$ × $\frac{75}{2} = \frac{75\pi }{2}$

-Result:

$\frac{75\pi }{2}$ or $117.81$