A square containing a quarter circle and a red equilateral triangle. What’s the orange fraction?

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## Solution

The orange fraction is 1/4.

## Poem

The orange diamond

Shines brightly

Jewel in the crown

Precious and rare

It is the envy of many

A big almond

For billions of dollars

The orange sapphire

Looks like a fire opal

A very rare and

Pure stone

And without any defect

The orange diamond

Is perfect

## One reply on “The orange fraction”

Easy it easy enough to check that when the orange wedge has angle 30 degrees, the other triangle is isosceles. But, derivations I’ve seen using algebra or trigonometry to solve for the angle 30 do not seem very satisfying.