The red balloon

An equilateral triangle with an altitude. Two of its sides form the radii of the circular sector. What fraction of the area is covered by the red circle?

Scroll down for a solution to this problem.


The red fraction is 63/2-18√3, which is approximately 32,31%.

Solution by John Michael.


The red balloon
Flies to the moon
And even to the stars
In the sky so far
I cannot catch it, why ?
My hands are empty
The balloon feels so alone
I’ll soon take it home
This balloon in heaven above
Is mine,
I want his love
I’ll put a string
And hold it close and tied


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