Circles within a circle.

Geometry Level 3

The centers of the three circles shown are connected by the sides of an equilateral triangle of side that measures 1 1 . What is the measure of the diameter of the bigger circle?

2 3 + 3 \frac{2}{\sqrt{3}}+3 3 2 ( 1 2 + 1 3 ) 2(\frac{1}{2}+\frac{1}{\sqrt{3}}) 2 1 2 + 2 \frac{1}{2}+2

Hana Wehbi by Hana Wehbi , 51, USA

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1 solution

Ahmad Saad
Jul 8, 2017

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Thank you for sharing a nice solution.

Hana Wehbi - 3 years, 11 months ago

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