A circle and smaller square in a larger square.Geometry Level pending
If you have a Circle and Square in a larger Square with the following dimensions:
The larger square ABCD has a side of length of s, inside this we have Smaller Square DEFG and a Circle O with a radius OF equal to half the length of the side of the smaller square (DEFG)
PQ is a tangent to the Circle O as shown in the figure which touches sides AB and BC.
Note: The length of PQ is less than the diagonal of the larger square.
let x be the length of this tangent PQ
Then x is given by the expression
x = 2s(a + b*sqrt(c))/d
Find a + b + c + d