Geometric Puzzle 04/07/24

[imhotep]

A semi-circle is inscribed in a quarter circle as shown below. What is the ratio of the semi-circle area to the quarter circle area?

 

[priyade]

You mean ratio of areas?

 

[Stimulus mind]

 

[dilann]

What is the ratio of the semi-circle area to the quarter circle area?

semi : quarter = 1 : 2

 

[MrFrog]

bump

 

[imhotep]

bump

This ratio is independent of the radius of the quarter circle and also the distance marked in the figure.