Circle- Theorem based Quiz

The radius of a circle is 13 cm and the length of one of its chords is

10 cm. The distance of the chord from the centre is

• 11.5 cm

• 12 cm

• 23 cm

A chord is at a distance of 8 cm from the centre of a circle of radius

17 cm. The length of the chord is

• 25 cm

• 12.5 cm

• 30 cm

• 9 cm

• 30°

• 45°

• 60°

• 90°

In the given figure, AOB is a diameter of a circle with centre O such that AB = 34 cm and CD is a chord of length 30 cm. Then, the distance of CD from AB is

• 8 cm

• 15 cm

• 18 cm

• 6 cm

In the given figure, O is the centre of a circle and diameter AB bisects the chord CD at a point E such that CE = ED = 8 cm and EB = 4 cm. The radius of the circle is

• 10 cm

• 12 cm

• 6 cm

• 8 cm

In the given figure, BOC is a diameter of a circle with centre O. If AB and CD are two chords such that AB || CD and AB = 10 cm then CD = ?

• 5 cm

• 12.5 cm

• 15 cm

• 10 cm

In the given figure, AB is a chord of a circle with centre O and BOC is a diameter. If OD = AB such that OD = 6 cm then AC = ?

• 9 cm

• 12 cm

• 15 cm

• 7.5 cm

An equilateral triangle of side 9 cm is inscribed in a circle. The radius of the circle is

• 3 cm

• 6 cm

Angles in the same segment of a circle are

• equal

• complementary

• supplementary

• none of these

• 30°

• 45°

• 60°

• 50°