Eye Of The Apple – Mirangu

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Eye of the apple
Eye of the apple

A circle with an inscribed triangle with an inscribed circle. The centre of the large circle is on the small one. What fraction of the area is blue?

Scroll down for a solution to this problem.

Solution

The blue fraction is 3-2√2.

Solution by ʙᴇɴᴇ.

The intermediate result that d2=R2-2Rr is known as Euler’s theorem.

Poem

Eye of the appleIt could be also the apple of my eyeCherishing someone we loveSo preciousSo rareAnd somebody we like and careHe cares for meWhen I’m in need or in painAlready when the days startsYou are the apple of my eyeAlways in my heartNothing can keep us apart

Bella

  • Tags area, circle, fraction, triangle
The other half Two square pegs

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