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A figure consists of two overlapping circles that have radii 4 and 6. If the common region of the circles has area 2, what is the area of the entire figure?

Sagot :

If we want to get the area of the entire figure, then we need to add the area of the first circle to the area of the second circle, then subtract the area of the part where it overlaps.

Try to figure out why,

So,

A = (pi)(4²) + (pi)(6²) - 2
A = 16pi + 36pi - 2
A = (52pi - 2) sq. units