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Competitive Stats
Q42Section C (Section C)42 of 60

Area between two tangent semicircles

Let

S={(x,y)∈R2:x,y≥0,4−(x−2)2≤y≤9−(x−3)2}.S=\left\{(x,y)\in\mathbb R^2:x,y\ge0, \sqrt{4-(x-2)^2}\le y\le\sqrt{9-(x-3)^2}\right\}.

Then the area of SS equals ____________ (round off to 2 decimal places)

Numerical answer: type the number (no options).

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