Circles / Square
posted by Knights on .
Alicia has a flat platter shaped like a square with a semicircle of diameter 10 inches on each edge. What is the number of inches in the side length of the smallest square that can contain the platter
(which contains the square with the semicircles on each side of it)?

If the semicircles have a diameter of 10, then the square inside the platter has side 10.
So, the platter has a total width of 5+10+5 = 20
So, the enclosing square has a side of 20. 
dude steave ur wrong the answer has to be a square root...

The middle part is sqrt(50) and the other parts are the radius, whitch is 5 so the answer is 10+sqrt(50)

oh I forgot that simplifies to 10+5*sqrt(2)