Question

What is the area of a sector with radius 6" and measure of arc equal to 120°?

Answer 1

\[\frac{120}{360} = \frac{x}{ \pi (6)^2}\]

Answer 2

Solve for x

Answer 3

In general use this formula:

\[\frac{\theta}{360} = \frac{x}{2 \pi r}\]

where x = area of sector

Answer 4

Area would be \[(\pi*r^{2}) * 120/360\] = \[(\pi*6^2)/3 \approx 37.7 units\]