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Colour confinement

A semicircle with three tangent line segments. What is its area in terms of lengths a and b?

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Solution

The purple area is πab/2.

Solution by Fernando Gutiérrez.

Visual solution

Solution without words by David Andriana.

Poem

Colour confinement
What happened to me
In a ½ cercle I’ll be
I’am a ½ disk so nice
And can also be twice
Well known as arbelos or amphitheatre
Here I’m purple
Just to stay in the circle
Some say I’m a mystery
Here I live in majesty
Confined in my shelter
Tomorrow I’ll be free

Bella

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