For an equilateral triangle, the ratio of the in-radius and the outer- radius is

Triangle PQR is inscribed in a circle such that P, Q and R lies on the circumference . If PQ is the diameter of the circle and ∠PQR = 40 ° , then what is the value ( in degrees ) of ∠QPR ?

In a circle, O is the centre of the circle. Chords AB and CD intersect at P. If ∠AOD=32° and <COB = 26°, then the measure of ∠APD lies between:

The area of a rhombus is 144 square units. The length of one of its diagonals is twice the length of other diagonal. What is the sum of length of its diagonals?

'G' is centroid of ΔABC if AG = BC then find ∠BGC.

If one of the equal angles of an isosceles triangle is 65°, then the angle at the vertex is

If the ratio of the heights of two identical triangles is 4: 9, find the ratio of the areas of the two triangles.

A wire is in the shape of a rectangle. Its length is 42.7m and breadth is 21.8m. If the same wire is re-bent in the shape of a square, what will be the measure of the side of the square?