The arc, centered at point O, is a quarter-circle. Find the simplest formula for the radius of the circle in terms of a, b, and c.
Square ABCD has a side length of 4. Construct a quarter circle with radius 4 centered at B and a semi-circle with diameter AD. What is the area of overlap between the quarter circle and semicircle?
Square ABCD is inscribed in a quarter circle O such that B and C are on the arc of the quarter circle. If the quarter circle has a radius equal to 1, what is the area of the square?
The gothic window design below has arc BC centered at A and arc AC centered at B. Semicircles D and E have a radius of 1 and the circle F is tangent to the arcs and the semicircles. What is the radius of circle F?
In square ABCD, circle P is tangent to the square and the quarter circle centered at A. If CE is tangent to circle P, what is the measure of ∠ECD?
ABCD is a square with side length R. Find the radius of the red circle in terms of R?
