A geometry problem by Caleb Koch

Geometry Level pending

Find the area of the shaded region in terms of r, the radius of the larger circle (one of the larger circles, there are two of them).

r 2 ( ( 3 − 2 ) π + 2 4 ) { r }^{ 2 }\left( \frac { (\sqrt { 3 } -2)\pi +2 }{ 4 } \right) r 2 ( ( 3 − 2 ) π + 2 8 ) { r }^{ 2 }\left( \frac { (\sqrt { 3 } -2)\pi +2 }{ 8 } \right) r 2 ( ( 3 + 2 ) π + 2 4 ) { r }^{ 2 }\left( \frac { (\sqrt { 3 } +2)\pi +2 }{ 4 } \right) r 2 ( ( 3 + 2 ) π + 2 8 ) { r }^{ 2 }\left( \frac { (\sqrt { 3 } +2)\pi +2 }{ 8 } \right)

Caleb Koch by Caleb Koch , 23, USA

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