CIRCLES

Front

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

Back

140°

Front

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?

Back

10 cm

Front

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. Find the area of the quadrilateral PQOR.

Back

60 sq cm

Front

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

Back

100°

Front

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

Back

100°

Front

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, then the length of BR is.

Back

4 cm

Front

In the figure, a circle touches all four sides of quadrilateral ABCD, where AB = 6 cm, BC = 9 cm, and CD = 8 cm. Find the length of AD.

Back

5 cm

Front

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

Back

4 cm

Front

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

Back

24 cm

Front

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, then the length of PQ is

Back

24 cm