In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is

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

In ΔABC, D is a point on side BC such that ∠ADC = 2∠BAD. If ∠A = 80° and ∠C = 38°, then what is the measure of ∠ADB?

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

A sector area of 4%   is removed from a circular sheet of paper of diameter 50 cm, If the remaining part is used to make a conical surface , then the ratio of radius and height of the-

In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be

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:

Each exterior angle of a regular polygon measures 9°. How many sides does the polygon have?