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?

If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is

If △ABC is right angled at B, AB = 12 cm and ∠CAB = 60°, determine the length of BC.

PQRS is a cyclic quadrilateral. If ∠P is three times of ∠R and ∠S is four times of ∠Q, then the sum of ∠S + ∠R will be:

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

P is a point outside a circle and is 26 cm away from its centre. A secant PAB drawn form P intersects the circle at points A and B such that PB=32 cm and PA=18cm. The radius of the circle (in cm) is:

The diameter of the circle with center O is AB. PQ is the chord that does not intersect AB. Join AP and BQ. If ∠BAP = ∠ABQ,  then what will be ABQP?

On increasing the radius of circle by 1 cm, its area is increased by 44 cm² .The original radius of the circle is -