### One of a continuing series

See the image. The circles are radius 2.5 and 1.5. What is the area of the red section?

Post your answer as a comment below.

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See the image. The circles are radius 2.5 and 1.5. What is the area of the red section?

Post your answer as a comment below.

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4 + 12.5 – 2.25 + (pi *(1.5)^2)/2 – (pi * (2.5)^2)/4 =

14.25 + (pi *(1.5)^2)/2 – (pi * (2.5)^2)/4

14.25 + (1.125 – 1.5625) * pi

=~12.876 unit^2

I compute approximately 7.96. I wonder if the answer is 8? The critical angle is sin-1(.25) = ~15 degrees.

The length of the long side is 7.87 and the answer is 7.87.

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