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

90 $in^{2}$
Given area of the circle = 360 $in^{2}$ central angle measures =90$^{\circ}$ In a circle of radius length r , the Area A of the sector whose arc has degree measure m is A = $\frac{m}{360}$ * $\pi r^{2}$ = The area of the circle = $\pi r^{2}$ = 360 m= 90 A = $\frac{90}{360}$ * 360 = 90 $in^{2}$