Trapezoid inscribed in a cirlce
Source: Albanian BMO TST 2010 Question 3
March 20, 2010
geometrytrapezoidperimetercircumcirclegeometry unsolved
Problem Statement
Let be the circumscribed circle of the trapezoid . In this trapezoid the diagonals and are perpendicular. The parallel sides AB\equal{}a and CD\equal{}c are diameters of the circles and respectively. Find the perimeter and the area of the part inside the circle , that is outside circles and .