Tangents and Radius in Circles

if angle ATO = 40°, find angle AOB

• 120°

• 140°

• 100°

• 80°

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

• 18 cm

• 4 cm

• 9 cm

• 15 cm

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

• 3 cm

• 4 cm

• 5 cm

• 6 cm

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, then the length of AD is

• 4 cm

• 5cm

• 6cm

• 7 cm

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, then the length of PQ is

Find the value of x

• 6

• 13

• 10

• 9

Find the value of x

• 4

• 18

• 3

• 9

• A
• B
• C
• D

Find the measure of angle ABD.

• 14

• 51

• 37

• 65