Introduction to Circles

Q. The region bounded by a chord and the corresponding arc lying between the chord's endpoints is known as a ___ of the circle.

1. sector
2. centre
3. diameter
4. segment

Q. A circle has a diameter of 42 cm. What would be its circumference ?

1. 120 cm
2. 132 cm
3. 100 cm
4. 210 cm

Q.

Find the circumference of the circle from the figure.
(Use $\pi =\frac{22}{7}$)

1. 88 cm

2. 120 cm

3. 132 cm

4. 8 cm

Q. Sector is the region between a chord and its corresponding arc.

1. False
2. True

Q.

If the radius of a circle passing through all vertices of a rectangle is $4cm$, then the length of the diagonal is

1. $6cm$
2. $8cm$
3. $10cm$
4. $2cm$

Q.

Prove that the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle. [4 MARKS]

Q. In the given figure, $\angle ABC={69}^{\circ },\angle ACB={31}^{\circ }.Find\angle BDC$

Q. Question 13
In the figure, O is the centre of the circle $\angle BCO={30}^{\circ }$. Find x and y.

Q. Choose the incorrect statement.

1. A sector is the area enclosed by two radii and a chord.

2. A circle divides the plane on which it lies into three parts.

3. The mid point of any diameter of a circle is the centre.

4. The area enclosed by a chord and the major arc is major segment.

Q. A chord divides a circle into 2 segments.

1. True
2. False

Q.

A sector with a central angle greater than ${180}^{\circ }$ is called a ____ of the circle.

1. major sector

2. minor sector

3. segment
4. chord

Q.

In the given figure, OD bisects AB. If AB = 8 cm and the radius of circle is 5 cm, then OD is equal to .

1. 3 cm
2. 4 cm
3. 5 cm

Q. In the given figure, $\angle ABC={69}^{\circ },\angle ACB={31}^{\circ }.Find\angle BDC$

Q.

Given a circle with O as the centre. Find the value of x.

1. 80°

2. 150°

3. 50°

4. 40°

Q.

The region between an arc and the two radii joining the centre of the end points of the arc is called a:

1. Sector

2. Minor arc

3. Semi circle

4. Segment

Q. A diameter is the longest chord in a circle.

1. False
2. True

Q.

The circumference of a circle of radius $r$ is given by ___.

1. $\pi r$

2. $2\pi r$

3. $4\pi r$

4. $\frac{\pi r}{2}$

Q.

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

1. 198 cm

2. 19.8 cm

3. 22 cm

4. 44 cm

Q.

If AB is a chord which passes through the centre O of a circle, then what is AB known as?

1. Diameter of the circle

2. Radius of the circle

3. Sector of the circle

4. Segment of the circle

Q.

Find the circumference of the circle from the figure.
(Use $\pi =\frac{22}{7}$)

1. 88 cm

2. 120 cm

3. 132 cm

4. 8 cm

Q.

The perimeter of a circle is called its ____.

1. circumference

2. radius

3. area

4. diameter

Q. The region enclosed between two radii and the corresponding arc in a circle is called a________ of the circle.

1. segment
2. arc
3. sector
4. circumference

Q. Sector is the region between a chord and its corresponding arc.

1. True
2. False

Q. What is a sector of a circle with a central angle greater than $180$ degree called?

Q. Sector is the region between a chord and its corresponding arc.

1. False
2. True

Q. In the given figure, $\angle ABC={69}^{\circ },\angle ACB={31}^{\circ }.Find\angle BDC$