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?
A square has a side length of 7. On each corner, a quarter circle with radius 3 is constructed with the corner as its center. And on the midpoint of each side, a semicircle with radius 2 is constructed with the midpoint as its center. What is the difference between the orange shaded areas and the blue shaded areas?
In a square with a side length of 1, two quarter circles are drawn and a circle is inscribed between the quarter circles, as shown in the diagram. What is the radius of the inscribed circle?
ABCD is a square with side length R. Find the radius of the red circle in terms of R?
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?
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.
