Question

What is the approximate area of a sector with radius equal to 8 and measure of arc equal to 300°?

Answer 1

Sector Area = (central angle / 360) * PI * radius^2
Sector Area = 300 / 360 * PI * 8^2
Sector Area = (5/6) * 64 * PI
Sector Area = 53.3 * PI

Source:
http://www.1728.org/radians.htm

Answer 2

Answer:

$area of sector=53.3 \pi$

Step-by-step explanation:

the approximate area of a sector with radius equal to 8 and measure of arc equal to 300°

The radius of a circle is 8

measure of an arc is 300 degree

Now use area of a sector formula

$area=\frac{angle}{360} \cdot \pi r^2$

Replace the radius and angle value in the formula

$area=\frac{300{360} \cdot \pi (8)^2$

$area=\frac{5}{6} \cdot \pi (64)$

$area=53.3 \pi$