Find the length of a tangent, drawn to a circle of radius 4 cm, from a point which is at a distance of 5 cm from the centre?

ABC is an isosceles triangle with AB = AC, A circle through B touching AC at the middle point of Q, intersects AB at P. Then AP : AB is : 

Find the area of the largest triangle made in a semicircle of r cm radius?

If one angle is half of its complementary angle, find that angle.

A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The area of the circle is:

If the perimeter of an equilateral triangle is 30 meters, what is its height?

If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA, then 

The exterior angle of a regular polygon is one-third of its interior angle, the number of sides of the polygon is -