, 10.01.2020connermichaela

# If the combined area of the white and orange regions is 100π, what is the area of only the orange region? a) 16π b) 36π c) 64π d) 96π alisonguerrero17
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,  Orabah
The area of orange=total-white

given
all=100pi

remember
area=pi6^2
area=36pi

areaorange=areatotal-areawhite
areaorange=100pi-36pi
areaorange=64pi square units chocolate12377
64π is correct, since the area of the white circle is 36π, and 100π - 36π = 64π. Jasten
100 -36 =64π datstepparoddoe27
100 -36 =64π laylay1548
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.
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