10th class Mathematics, Chapter 8: Chords and Arcs of a Circle MCQs

1. Distance of a point on the circumference to the centre of the circle is called:

1. (A) radius ✓
2. (B) arc
3. (C) chord
4. (D) tangent

2. Radii of same circles are:

1. (A) all unequal
2. (B) all equal ✓
3. (C) half of each chord
4. (D) double of the diameter

3. The boundary of the circle is called:

1. (A) chord
2. (B) segment
3. (C) circumference ✓
4. (D) diameter

4. Any part of a circumference is called:

1. (A) chord
2. (B) diameter
3. (C) radius
4. (D) arc ✓

5. A chord passing through the centre of the circle is called:

1. (A) radius
2. (B) diameter ✓
3. (C) secant
4. (D) circumference

6. In the figure, with O the centre and B, C, D, A on the circle, the major arc is (arc BDC passes through D, the longer way round):

1. (A) arc AB
2. (B) arc BC
3. (C) arc BDC ✓
4. (D) arc AD

7. _____ circle(s) can pass through three non-collinear points.

1. (A) one ✓
2. (B) two
3. (C) three
4. (D) many

8. The perpendicular bisector of a chord always passes through the _____ of the circle.

1. (A) arc
2. (B) radius
3. (C) centre ✓
4. (D) circumference

9. The sum of the measures of central angles of a circle is:

1. (A) 90°
2. (B) 180°
3. (C) 270°
4. (D) 360° ✓

10. The longest chord of a circle is its:

1. (A) diameter ✓
2. (B) radius
3. (C) secant
4. (D) tangent

11. The circumference of a circle of radius r is:

1. (A) 2πr²
2. (B) 2πr ✓
3. (C) πr²
4. (D) πr

12. A line which cuts a circle at two distinct points is called a:

1. (A) secant ✓
2. (B) tangent
3. (C) radius
4. (D) diameter

13. The region between a chord and the arc it cuts off is a:

1. (A) secant
2. (B) segment ✓
3. (C) sector
4. (D) semi-circle

14. The region between two radii and an arc is a:

1. (A) minor arc
2. (B) sector ✓
3. (C) segment
4. (D) chord

15. An arc whose central angle is greater than 180° is a:

1. (A) quadrant
2. (B) major arc ✓
3. (C) minor arc
4. (D) semi-circle

16. Circles having the same centre are called:

1. (A) point circles
2. (B) unit circles
3. (C) concentric circles ✓
4. (D) congruent circles

17. The number of circles that can be drawn through three non-collinear points is:

1. (A) exactly one ✓
2. (B) exactly two
3. (C) three
4. (D) infinite

18. Two circles can intersect in at most:

1. (A) 3 points
2. (B) 4 points
3. (C) 2 points ✓
4. (D) 1 point

19. The perpendicular drawn from the centre of a circle to a chord:

1. (A) is parallel to the chord
2. (B) is half the radius
3. (C) bisects the chord ✓
4. (D) is equal to the chord

20. A chord 16 cm long is 6 cm from the centre of a circle. The radius is:

1. (A) 12 cm
2. (B) 14 cm
3. (C) 10 cm ✓
4. (D) 8 cm