A name which has nothing to do with this question (well almost nothing)

What percentage of the circle is shaded? (The quadrangle shown in the picture is a square with one of the vertices in the circle's center.)

(In reply to If 25pc of the Square is shaded... by imre bokor)

The shaded area, in terms of the radius of the circle, is (pi * r^2)/4. 

If it's also 25% of the area of the square, then in terms of the side of the square it is (s^2)/4.

Setting these equal shows that r is equal to s / sqrt(pi). 

So if s = 1 meter, then r = 1 / sqrt(pi) ~= 0.5642.

Now, if you could construct a square that had the same area as the circle, that would be something!

Edited on March 14, 2014, 9:48 pm

Posted by tomarken on 2014-03-14 15:32:25