CIRCLES

In the given figure, AB and AC are tangents to the circle with centre O such that angle BAC = 40°, then angle BOC is equal to

In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. What is the radius of the circle?

From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. What is the area of the quadrilateral PQOR?

In the given figure, if O is the centre of circle PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then angle POQ is equal to

In figure, if angle ATO = 40°, find angle AOB.

In figure CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 7 cm, what is the length of BR?

In figure, a circle touches all the four sides of a quadrilateral ABCD, whose sides are AB = 6cm, BC = 9 cm and CD= 8 cm. What is the length of AD?

In figure AP and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA is perpendicular to PB, then the length of each tangent is

Two concentric circles are of radii 13 cm and 5 cm. The length of the chord of larger circle which touches the smaller circle is

A tangent PQ of a circle of radius 7 cm meets a line through centre O at a point Q so that OQ = 25 cm. What is the length of PQ?