## Elementary Geometry for College Students (7th Edition)

150 $cm^{2}$
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 $cm^{2}$