MCQ on Areas Related to Circles | Class 10 Maths Chapter 11

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Welcome to MCQ Assam School. This post contains 30 MCQs (Multiple Choice Questions) on Class 10 Mathematics Chapter 11. The name of the chapter is “Areas Related to Circles”. So, basically, this post contains 30 MCQs on Areas Related to Circles. These MCQs will help you to understand the chapter better and will also help you prepare for your exam.

The Chapter deals with the following topics:

Areas of Sector
Areas of Segment of a Circle, etc

These MCQs can also act as a Mock Test. There are 30 MCQs. There are four options for each question. Out of the four options, only one option is correct. Choose the correct options for each question and click on the submit button to see the results. You can also, review your answers. For each right option, you will see a green check mark and for each wrong option, you will see a red cross mark. If the chosen option is wrong then a green check mark will appear near the right option. This way you will know the right answer.

Let’s begin.

MCQ on Areas Related to Circles | Class 10 Maths Chapter 11

1. What is the area of a sector with angle θ and radius r?

A. \( \frac{\theta}{360} \times 2 \pi r \) B. \( \frac{\theta}{360} \times \pi r^2 \) C. \( \pi r \) D. \( \frac{2 \pi r}{\theta} \)

2. What is the length of an arc of a sector with angle θ and radius r?

A. \( \frac{\theta}{360} \times \pi r^2 \) B. \( \frac{\theta}{360} \times 2 \pi r \) C. \( \pi r \) D. \( \frac{2 \pi r}{\theta} \)

3. If the radius of a circle is 7 cm, what is the area of a sector with a central angle of 90°?

A. \( 10.75 \, \text{cm}^2 \) B. \( 38.5 \, \text{cm}^2 \) C. \( 77 \, \text{cm}^2 \) D. \( 154 \, \text{cm}^2 \)

4. What is the formula for the area of a segment of a circle?

A. \( \frac{\theta}{360} \times 2 \pi r \) B. \( \pi r \times \frac{\theta}{360} \) C. Area of sector – area of triangle D. \( \frac{2 \pi r}{\theta} \)

5. A chord divides a circle into which two parts?

A. Diameter and radius B. Radius and arc C. Sector and segment D. Segment and sector

6. How do you calculate the area of a circle?

A. \( 2 \pi r \) B. \( \pi r^2 \) C. \( \frac{1}{2} \pi r \) D. \( \pi r \times \frac{r}{2} \)

7. What do you call the distance around a circle?

A. Radius B. Circumference C. Diameter D. Arc

8. What is the length of the diameter of a circle with radius r?

A. \( \frac{r}{2} \) B. \( 2r \) C. \( r \) D. \( \pi r \)

9. What is the radius of a circle with diameter 14 cm?

A. 7 cm B. 14 cm C. 28 cm D. 21 cm

10. If the angle of a sector is 60°, what fraction of the circle does it represent?

A. \( \frac{1}{4} \) B. \( \frac{1}{6} \) C. \( \frac{1}{3} \) D. \( \frac{1}{2} \)

11. The circumference of a circle is given by which formula?

A. \( 2 \pi r \) B. \( \pi r^2 \) C. \( \frac{\pi r^2}{2} \) D. \( \frac{\pi r}{2} \)

12. What is the measure of a straight angle?

A. 45° B. 90° C. 180° D. 360°

13. What is the area of a circle with radius 10 cm?

A. \( 100 \, \text{cm}^2 \) B. \( 200 \, \text{cm}^2 \) C. \( 314 \, \text{cm}^2 \) D. \( 628 \, \text{cm}^2 \)

14. A circle is divided into two equal parts. What are these parts called?

A. Semicircles B. Quadrants C. Sectors D. Segments

15. What is a chord that passes through the center of a circle called?

A. Radius B. Diameter C. Arc D. Circumference

16. The segment of a circle bounded by a chord and the corresponding arc is called what?

A. Sector B. Segment C. Semicircle D. Diameter

17. What do you call a line segment that joins any two points on the circle?

A. Radius B. Diameter C. Chord D. Arc

18. What is the angle subtended by a semicircle at any point on the circle?

A. 90° B. 180° C. 45° D. 360°

19. If the radius of a circle is doubled, how does the area change?

A. It remains the same B. It becomes four times C. It doubles D. It halves

20. What is the central angle of a circle if the arc length is equal to the radius?

A. 45° B. 90° C. 180° D. 57.3°

21. What is the area of a sector with a radius of 5 cm and an angle of 72°?

A. \( 15 \, \text{cm}^2 \) B. \( 15.7 \, \text{cm}^2 \) C. \( 18 \, \text{cm}^2 \) D. \( 20 \, \text{cm}^2 \)

22. If a circle has an area of 78.5 cm², what is the radius?

A. 5 cm B. 5 cm C. 10 cm D. 14 cm

23. What is the formula for the area of a semicircle?

A. \( \pi r \) B. \( 2 \pi r \) C. \( \frac{1}{2} \pi r^2 \) D. \( \frac{1}{2} \pi r \)

24. A sector of a circle has a radius of 4 cm and an angle of 30°. What is the area?

A. \( 2.5 \, \text{cm}^2 \) B. \( 4.5 \, \text{cm}^2 \) C. \( 4.2 \, \text{cm}^2 \) D. \( 3.8 \, \text{cm}^2 \)

25. If a circle is divided into four equal parts, what is each part called?

A. Semicircle B. Quadrant C. Sector D. Segment

26. What is the central angle of a sector that represents one-fourth of a circle?

A. 60° B. 90° C. 120° D. 180°

27. What is the length of an arc of a sector with radius 10 cm and angle 45°?

A. \( 5 \, \text{cm} \) B. \( 7.5 \, \text{cm} \) C. \( 7.85 \, \text{cm} \) D. \( 10 \, \text{cm} \)

28. What is the circumference of a circle with diameter 10 cm?

A. \( 20 \, \text{cm} \) B. \( 25 \, \text{cm} \) C. \( 31.4 \, \text{cm} \) D. \( 15.7 \, \text{cm} \)

29. The region enclosed by two radii and the corresponding arc of a circle is called what?

A. Sector B. Segment C. Semicircle D. Quadrant

30. If a circle has a diameter of 12 cm, what is the circumference?

A. \( 24 \, \text{cm} \) B. \( 36 \, \text{cm} \) C. \( 48 \, \text{cm} \) D. \( 37.7 \, \text{cm} \)

Review Your Answers Above.

MCQ on Real Numbers | Class 10 Mathematics Chapter 1
MCQ on Polynomials | Class 10 Mathematics Chapter 2
MCQ on Pair of Linear Equations in Two Variables | Class 10 Mathematics Chapter 3
MCQ on Quadratic Equations | Class 10 Mathematics Chapter 4
MCQ on Arithmetic Progressions | Class 10 Mathematics Chapter 5
MCQ on Triangles | Class 10 Mathematics Chapter 6
MCQ on Coordinate Geometry | Class 10 Mathematics Chapter 7
MCQ on Introduction to Trigonometry | Class 10 Mathematics Chapter 8
MCQ on Some Applications of Trigonometry | Class 10 Mathematics Chapter 9
MCQ on Circles | Class 10 Mathematics Chapter 10
MCQs on Surface Areas and Volumes | Class 10 Mathematics Chapter 12
MCQ on Statistics | Class 10 Mathematics Chapter 13
MCQ on Probability | Class 10 Mathematics Chapter 14

The Bottom Line

I hope these 30 Multiple-choice questions have helped you learn more about the Class 10 Mathematics Chapter 11 (Areas Related to Circles) in detail. You can retake the test anytime you want by refreshing the page and review your results.

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Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.

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MCQ on Areas Related to Circles | Class 10 Maths Chapter 11

1. What is the area of a sector with angle θ and radius r?

2. What is the length of an arc of a sector with angle θ and radius r?

3. If the radius of a circle is 7 cm, what is the area of a sector with a central angle of 90°?

4. What is the formula for the area of a segment of a circle?

5. A chord divides a circle into which two parts?

6. How do you calculate the area of a circle?

7. What do you call the distance around a circle?

8. What is the length of the diameter of a circle with radius r?

9. What is the radius of a circle with diameter 14 cm?

10. If the angle of a sector is 60°, what fraction of the circle does it represent?

11. The circumference of a circle is given by which formula?

12. What is the measure of a straight angle?

13. What is the area of a circle with radius 10 cm?

14. A circle is divided into two equal parts. What are these parts called?

15. What is a chord that passes through the center of a circle called?

16. The segment of a circle bounded by a chord and the corresponding arc is called what?

17. What do you call a line segment that joins any two points on the circle?

18. What is the angle subtended by a semicircle at any point on the circle?

19. If the radius of a circle is doubled, how does the area change?

20. What is the central angle of a circle if the arc length is equal to the radius?

21. What is the area of a sector with a radius of 5 cm and an angle of 72°?

22. If a circle has an area of 78.5 cm², what is the radius?

23. What is the formula for the area of a semicircle?

24. A sector of a circle has a radius of 4 cm and an angle of 30°. What is the area?

25. If a circle is divided into four equal parts, what is each part called?

26. What is the central angle of a sector that represents one-fourth of a circle?

27. What is the length of an arc of a sector with radius 10 cm and angle 45°?

28. What is the circumference of a circle with diameter 10 cm?

29. The region enclosed by two radii and the corresponding arc of a circle is called what?

30. If a circle has a diameter of 12 cm, what is the circumference?

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