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?
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?
A square contains a semicircle and a quarter circle, as shown. The two circles are tangent to each other. The semicircle has a diameter equal to 12 and the quarter circle has a radius equal to 12. What is the area of the square? What is the length of the tangent line segment AB?
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.
A small circle is contained inside a quarter circle and tangent to one of its sides. A line segment is constructed to be tangent to the small circle and perpendicular to the other side of the quarter circle. If the line segment has length equal to 12, what is the area shaded in blue, equal to the area of the quarter circle minus the small circle?
