Question

If the combined area of the white and orange regions is 100π, what is the area of ONLY the orange region?

Answer 1

the area of orange=total-white

given
all=100pi

remember
area=pi times radius^2
white radius is 6
area=pi6^2
area=36pi

areaorange=areatotal-areawhite
areaorange=100pi-36pi
areaorange=64pi square units

Answer 2

64π is correct, since the area of the white circle is 36π, and 100π - 36π = 64π.