A right angled trapezium is circumscribed about a circle. Find the radius of the circle. If the lengtyhs of the bases (i.e.parallel sides ) are equal to a and b.

A trapezium is inscribed in a circle.If one of its angles is double the other find the angles of the trapezium

Find the ratio of the areas of squares circumscribed about and inscribed in the same circle.

A right triangle ABC, right angled at A, is circumscribing a circle. If AB = 8 cm and BC = 6 cm, find the radius of the circle.

Given that a right angled trapezium has an inscribed circle.Prove that the length of the right angled leg is the Harmonic mean of the lengths of bases

A circle is inscribed in a trapezium in which one of the non-parallel sides is perpendicular to the two parallel sides. Then A) the diameter of the inscribed circle is the geometric mean of the lengths of the parallel sides B) the diameter of the inscribed circle is the harmonic mean of the lengths of the parallel sides C) the area of the trapezium is the area of the rectangle having lengths of its sides as the lengths of the parallel sides of the trapezium D) the area of the trapezium is half the area of the rectangle having lengths of its sides as the lengths of the parallel sides of the trapezium

The angles of a triangle are in the ratio 2:3:7 and the radius of the circumscribed circle is 10 cm . The length of the smallest side is

Find the radius of the circumscribing circle of a regular polygon of n sides each of length is a.