What is the radius of the circle in terms of the edge length of the square?

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- May 8th 2006, 02:08 PMNatasha1A semi-circle in a square.
What is the radius of the circle in terms of the edge length of the square?

- May 8th 2006, 02:57 PMCaptainBlackQuote:

Originally Posted by**Natasha1**

as shown in the diagram (a point from which the diameter of a circle

subtends a right angle is on the circle).

We can see from the diagram that the diagonal of the square is:

,

now if the side of the square is the diagonal is:

,

from which you can finish the problem.

RonL - May 28th 2006, 09:20 AMSoroban
Lovely solution, Captain Black!

- May 28th 2006, 10:04 AMCaptainBlackQuote:

Originally Posted by**Soroban**

RonL