Radius

Q.

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

1. 19.8 cm

2. 22 cm

3. 198 cm

4. 66 cm

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

1. Radius
2. Diameter
3. Sector
4. 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.

1. 5 cm

2. 1 cm

3. 2.5 cm

4. 3 cm

Q.

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

1. 25 cm

2. 15 cm

3. 5 cm

4. 50 cm

Q.

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

1. radius

2. centre
3. circumference
4. 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.

1. 10 cm

2. 25 cm

3. 20 cm

4. 15 cm

Q.

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

1. Equal.

2. Diminished.

3. Different.

4. None of these.

Q.

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

1. centre
2. circumference
3. chord

4. radius

Q.

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

1. 6 cm

2. 12 cm

3. 10 cm

4. 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 $\angle$ OAC.

1. ${24}^o$

2. ${48}^o$

3. ${20}^o$

4. ${36}^o$

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 ?

1. $(128\frac{4}{7}{)}^{\circ }$
2. $(180\frac{6}{7}{)}^{\circ }$
3. $(128\frac{1}{7}{)}^{\circ }$
4. $(360\frac{4}{7}{)}^{\circ }$

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

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

Q.

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

1. False

2. 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

1. ${60}^o$

2. ${75}^o$

3. ${120}^o$

4. ${150}^o$

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?

1. AC

2. OA

3. BD

4. CD

Q.

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

1. AC

2. OA

3. BD

4. 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:

1. 4 cm

2. 2 cm

3. 1 cm

4. 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?

1. 88 cm

2. 79 cm

3. 113 cm

4. 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?

1. None of these

2. ${180}^{\circ }$

3. ${360}^{\circ }$

4. $0^{\circ }$