Answer
150 $cm^{2}$
Work Step by Step
Given area of 120$^{\circ}$ sector is 50 $cm^{2}$
We need to calculate the entire area of the circle
In a circle of radius length r , the Area A of the sector whose arc has degree measure m is
A = $\frac{m}{360}$ * $\pi r^{2}$
50 = $\frac{120}{360}$ * $\pi r^{2}$
$\pi r^{2}$ = 50 * 3
$\pi r^{2}$ = 150 $cm^{2}$
The area of the entire circle = 150 $cm^{2}$
