Question

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

3.3
13.3
53.3

Answer 1

The entire area of a circle is π(r^2) = π(8^2) = 64π

There is a proportion between the area of a sector with angle x and the area of the entire circle (which covers 360°:

area of the sector / angle of the sector = area of the circle / 360°

Then, area of the sector / 300° = 64π / 360°

area of the sector = (64π / 360°) * 300° = 53.33π cm

Then, the answer is the last option: 53.3