# Radius

## Trending Questions

**Q.**

What is the circumference of a circle of radius 7 cm?

19.8 cm

22 cm

198 cm

66 cm

**Q.**If a chord passes through the centre of a circle, then that chord is known as

- Radius
- Diameter
- Sector
- Segment

**Q.**

A chord of length 8 cm is drawn in a circle of radius 5 cm. Calculate its distance from the centre of the circle.

5 cm

1 cm

2.5 cm

3 cm

**Q.**

A chord 24 cm long is drawn in a circle of radius 13 cm. Then its distance from the centre is

25 cm

15 cm

5 cm

50 cm

**Q.**

The fixed distance from the center of the circle to any point on the circle is called ___ .

radius

- centre
- circumference
- chord

**Q.**In the given figure, AB is the diameter of the circle with centre O. A chord CD is bisected by the diameter at P. If OA = OB = 15 cm and OP = 9 cm. Find the length of chord AD.

**Q.**

The figure shows a circle with centre O, in which the diameter AB bisects the chord CD at point E. If CE = ED = 8 cm and EB = 4 cm. Find the radius of the circle.

10 cm

25 cm

20 cm

15 cm

**Q.**

If two circles are equal, then their radii are ...............

Equal.

Diminished.

Different.

None of these.

**Q.**

The fixed distance from the center of the circle to any point on the circle is___ .

- centre
- circumference
- chord
radius

**Q.**

If AB = 12 cm, BC = 16 cm and AB BC, then radius of the circle passing through A, B and C is

6 cm

12 cm

10 cm

8 cm

**Q.**

In the given figure AB is the side of a regular hexagon and BC is the side of a regular pentagon. Find ∠ OAC.

24o

48o

20o

36o

**Q.**

**Question 2**

Two chords AB and CD of lengths 5 cm and 11cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle.

**Q.**There are seven equal chords in the circle with centre O in the given figure. The value of x will be ?

- (12847)∘
- (18067)∘
- (12817)∘
- (36047)∘

**Q.**Two circles of radii 4 cm and 3 cm intersect at two points and the distance between their centres is 5 cm. Find the length of the common chord.

**Q.**Two circles of radii 4 cm and 3 cm intersect at two points and the distance between their centres is 5 cm. Find the length of the common chord.

**Q.**

Circum-radius of a triangle is the radius of the circumcircle.

False

True

**Q.**

Prove that the line joining the centres of two intersecting circles subtends equal angles at the two points of intersection.

**Q.**

Fill in the blanks:

A circle can have __________ radii.

**Q.**

Is every chord of a circle also a diameter?

**Q.**

The chord of a circle is equal to its radius. The angle subtended by this chord at the minor are of the circle is

60o

75o

120o

150o

**Q.**In the given figure, P is the centre of the circle.

Prove that : ∠XPZ = 2(∠XZY + ∠YXZ)

**Q.**

If O is the center of the circle, then what is the radius of the circle?

AC

OA

BD

CD

**Q.**

If O is the center of the circle, then what is the radius of the circle?

AC

OA

BD

CD

**Q.**

In figure, O is the centre of the circle of radius 10 cm. OQ WZ, OP XY, XY || WZ, WZ = 16 cm and XY = 12 cm. then length of PQ is:

4 cm

2 cm

1 cm

3 cm

**Q.**Calculate the circumference of a circle that has a radius of 14 cm.

**Q.**

In the figure, Name the point which are in circle.

**Q.**

What is the approximate circumference of a circle that has a radius of 14 cm?

88 cm

79 cm

113 cm

57 cm

**Q.**

The figure given below shows a circle with centre O. Diameter AB bisects the chord CD perpendicularly at point E . If CD = 16 cm and EB = 4 cm, find the radius of the circle.

**Q.**Define Circle.

**Q.**

What angle does a radius subtend at the centre of a circle?

None of these

180∘

360∘

0∘