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The kissing circles

A rectangle with three touching quarter circles. What fraction of its area is coloured?

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Solution

The coloured fraction is 7π/24, which is approximately 91,6%.

Solution by Ignacio Larrosa Cañestro.

Poem

Kissing circles
A fantastic relationship
The kissing fraternising of spheres
Just attractive power
Congruent circles are touching
Their sides are kissing
The moment is important
Energy and desire
Inclination with no end
Circles are kissing
Something bigger is happening

Bella

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