1956 AHSME Problems/Problem 35
Solution
First, we create a circle and its 
radii. Both of these have length 
. When we join them, we get our first chord. Let's call this 
. Now, we can create two more chords of our own choice, as long as both of them start from points 
and 
respectively and our final figure looks like a rhombus. Let's call these newly created points 
and 
. Thus, now we have our rhombus 
. Since we known the formula for a rhombus's area is 
, we can now successfully substitute the 
and the 
both with 
(since, in our case, we had a circle, both our and are going to be the same). After substituting, we get: 
; upon using arithmetic, we yield our answer to be 
.
-Solution by DRAGONWARRIOR123
