Circles (Circumference & Area) Quiz - ICSE Class 8 Mathematics

Free practice quiz: Circles (Circumference & Area) (ICSE Class 8 Mathematics). 44 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 8 Mathematics practice quiz has 44 multiple-choice questions on Circles (Circumference & Area), and 44 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. A circular park has a radius of 21 meters. What is its circumference?

   1. 132 meters
   2. 128 meters
   3. 138 meters
   4. 140 meters
   Show answer

   Answer: A. 132 meters

   The circumference of a circle is given by the formula C = 2πr. Given r = 21 meters and π ≈ 22/7, C = 2 * (22/7) * 21 = 2 * 22 * 3 = 132 meters.

2. A circular wire of radius 42 cm is bent into a square. What is the side length of the square?

   1. 66 cm
   2. 132 cm
   3. 84 cm
   4. 264 cm
   Show answer

   Answer: A. 66 cm

   The circumference of the circular wire is equal to the perimeter of the square. Circumference C = 2πr = 2 * (22/7) * 42 = 2 * 22 * 6 = 264 cm. Perimeter of the square = 4 * side. So, 4 * side = 264 cm. Side = 264 / 4 = 66 cm.

3. A circular wheel of radius 21 cm is rolled along the ground. How many revolutions will it make to cover a distance of 924 meters?

   1. 700
   2. 600
   3. 500
   4. 800
   Show answer

   Answer: A. 700

   First, find the circumference of the wheel. Radius = 21 cm. Circumference C = 2πr = 2 * (22/7) * 21 = 2 * 22 * 3 = 132 cm. The distance to be covered is 924 meters, which is 924 * 100 = 92400 cm. Number of revolutions = Total distance / Circumference = 92400 cm / 132 cm = 700 revolutions.

4. The circumference of a circle is 132 cm. What is its radius?

   1. 21 cm
   2. 42 cm
   3. 14 cm
   4. 7 cm
   Show answer

   Answer: A. 21 cm

   Circumference C = 2πr. 132 = 2 * (22/7) * r. 132 = (44/7) * r. r = 132 * (7/44) = 3 * 7 = 21 cm.

5. The difference between the circumference and radius of a circle is 37 cm. Find the radius of the circle.

   1. 7 cm
   2. 14 cm
   3. 21 cm
   4. 37 cm
   Show answer

   Answer: A. 7 cm

   Let the radius be r. Circumference = 2πr. Given: 2πr - r = 37. r(2π - 1) = 37. r(2 * (22/7) - 1) = 37. r(44/7 - 7/7) = 37. r(37/7) = 37. r = 37 * (7/37) = 7 cm.

More questions in this quiz

Answers and explanations are in the full quiz.

1. The area of a circular garden is 616 square meters. Find its radius.
2. A bicycle wheel has a diameter of 70 cm. How much distance does it cover in one full revolution?
3. If the circumference of a circle is 44 cm, what is its area?
4. A circular disc has an area of 25π square units. What is its circumference?
5. Two circles are concentric. The radius of the outer circle is 10 cm and the radius of the inner circle is 7 cm. What is the area of the ring between them?
6. The ratio of the radii of two circles is 2:3. What is the ratio of their circumferences?
7. The ratio of the radii of two circles is 2:3. What is the ratio of their areas?
8. A square is inscribed in a circle of radius 7 cm. Find the area of the square.
9. A circular field has a circumference of 88 meters. Find its area.
10. The diameter of a circular pond is 28 meters. What is the area of the pond?
11. A circular race track has an outer radius of 20 meters and an inner radius of 14 meters. What is the area of the track?
12. If the radius of a circle is increased by 10%, what is the percentage increase in its area?
13. A circular table cloth has a diameter of 1.4 meters. What is its circumference?
14. The circumference of a circle is 31.4 cm. Find its radius. (Take π ≈ 3.14)
15. A circular path is 7 meters wide. The radius of the outer circle is 35 meters. What is the radius of the inner circle?
16. The area of a circle is 154 sq cm. What is its diameter?
17. A circular garden has a circumference of 44 meters. What is its radius?
18. The diameter of a circular disc is 42 cm. What is its area?
19. A wire is in the shape of a circle of radius 28 cm. It is rebent into a square. Find the side of the square.
20. What is the area of the largest circle that can be drawn inside a square of side 10 cm?
21. The ratio of the circumference of a circle to its diameter is always:
22. If the area of a circle is 154 sq m, what is its circumference?
23. A circular field has an area of 3850 sq meters. Find its radius.
24. A circular garden has a diameter of 42 meters. What is its circumference?
25. The area of a circular ring is given by the formula:
26. A square is circumscribed around a circle of radius 7 cm. What is the perimeter of the square?
27. If the circumference of a circle is doubled, its area will be:
28. A circular disc of radius 10 cm has a hole of radius 3 cm at its center. What is the area of the remaining portion?
29. The diameter of a circle is 14 meters. What is the circumference?
30. A circular plot of land has an area of 154 sq m. What is its diameter?
31. What is the circumference of a circle whose area is 1386 sq cm?
32. The radius of a circle is increased by 50%. By what percentage is its circumference increased?
33. A semicircle of radius 7 cm is drawn. What is its perimeter?
34. The area of a semicircle is 693 sq cm. What is its radius?
35. The area of a circle is 154 sq cm. What is its circumference?
36. The ratio of the radius of two circles is 5:3. Find the ratio of their areas.
37. A circular disc has a radius of 14 cm. What is its circumference?
38. The diameter of a circular field is 56 meters. What is its area?
39. A square is inscribed in a circle with diameter 20 cm. What is the area of the square?

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