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Circles centered at $A$ and $B$ each have radius 2. Point $O$ is the midpoint of $\overline{AB}$, and $OA = 2\sqrt2$. Segments $OC$ and $OD$ are tangent to the circles centered at $A$ and $B$, respectively, and $\overline{EF}$ is a common tangent. What is the area of the shaded region $ECODF$? Round your answer to the nearest tenth.

 Aug 25, 2021
 #1
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To the nearest tenth, the area of ECODF is 3.7.

 Aug 25, 2021
 #2
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[ECODF] = [ABFE] - (4 + pi) = 4.1721159

 Aug 26, 2021

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