We know the combined area is 100π, and the combined area includes the white section as well as the orange section.

now, if we take the area of the white circle, and "subtract" it from the combined area, we're in effect, making a whole in the larger circle, and what's leftover is just the orange part, because the white would have been subtracted out,

now, if we take the area of the white circle, and "subtract" it from the combined area, we're in effect, making a whole in the larger circle, and what's leftover is just the orange part, because the white would have been subtracted out,

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

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

Using the picture above. If the area area of the combined regions is 100pi, you have to subtract the center region which has a radius of 6.

100pi - 64 pi leaves an area of 64pi. LETTER C

100pi - 64 pi leaves an area of 64pi. LETTER C

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