Circle Grade 9

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

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 a circle. The radius of the circle is

• 3 cm

• 3√2 cm

• 3√3 cm

• 6 cm

The center of the circle lies in______ of the circle.

• Interior

• Exterior

• Circumference

• None of the above

The longest chord of the circle is:

• Radius

• Arc

• Diameter

• Segment

Equal _____ of the congruent circles subtend equal angles at the centers.

• Segments

• Radii

• Arcs

• Chords

If chords AB and CD of congruent circles subtend equal angles at their centres, then:

• AB = CD

• AB > CD

• AB < AD

• None of the above

If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:

• ∠BEQ > ∠CEQ

• ∠BEQ = ∠CEQ

• ∠BEQ < ∠CEQ

• None of the above