Double annulus

Geometry Level pending

Shown in the above figure is double annulus. The two red chords are tangent to each inner circle. If the area of the yellow annulus is 40 π 40\pi and the green annulus is 24 π 24\pi , what is the total length of the two red chords?

2 6 + 2 10 2\sqrt{6}+2\sqrt{10} 2 24 + 40 2\sqrt{24}+\sqrt{40} 8 8 4 ( 6 + 10 ) 4(\sqrt{6}+\sqrt{10})

A Former Brilliant Member by A Former Brilliant Member

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