Circles Test - 2

The longest chord of the circle is:

From a point Q, the length of the tangent to a circle is 4 cm and the distance of Q from the centre is 5 cm. The radius of the circle is

From a point P, 10 cm away from the centre of a circle, tangent PT of length 8 cm is drawn. Find the radius of the circle.

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively. Find the side AB.

A triangle PQR circumscribes circle of radius r, such that angle Q = 900. PQ is 3 cm and QR is 4 cm . Find the radius of the circle.

An isosceles triangle ABC is inscribed in a circle. If AB = AC = 13 cm and BC = 10 cm, find the radius of the circle?

TP and TQ are tangents to circle with centre O at P and Q repectively. PQ = 8 cm and radius of circle is 5 cm. Find TP.