Circumference and area of plane figures Quiz - ICSE Class 7 Mathematics

Free practice quiz: Circumference and area of plane figures (ICSE Class 7 Mathematics). 23 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 7 Mathematics practice quiz has 23 multiple-choice questions on Circumference and area of plane figures, and 23 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 7 meters. What is its circumference?

   1. 44 meters
   2. 154 square meters
   3. 22 meters
   4. 88 meters
   Show answer

   Answer: A. 44 meters

   The formula for the circumference of a circle is C = 2πr. Given r = 7 meters and using π ≈ 22/7, C = 2 * (22/7) * 7 = 44 meters.

2. Find the area of a rectangle with a length of 12 cm and a width of 8 cm.

   1. 20 square cm
   2. 96 square cm
   3. 40 square cm
   4. 192 square cm
   Show answer

   Answer: B. 96 square cm

   The formula for the area of a rectangle is A = l * w. Given l = 12 cm and w = 8 cm, A = 12 * 8 = 96 square cm.

3. A square garden has a side of 15 meters. What is the cost of fencing it at ₹10 per meter?

   1. ₹150
   2. ₹600
   3. ₹1500
   4. ₹60
   Show answer

   Answer: B. ₹600

   The perimeter of the square garden is P = 4s = 4 * 15 = 60 meters. The cost of fencing is Perimeter * Cost per meter = 60 * ₹10 = ₹600.

4. The ratio of the radii of two circles is 2:3. What is the ratio of their circumferences?

   1. 2:3
   2. 4:9
   3. 3:2
   4. 9:4
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   Answer: A. 2:3

   Let the radii be r1 and r2. C1 = 2πr1 and C2 = 2πr2. The ratio of their circumferences is C1/C2 = (2πr1) / (2πr2) = r1/r2. Given r1/r2 = 2/3, so the ratio of their circumferences is also 2:3.

5. If the area of a square is 144 sq cm, what is its perimeter?

   1. 12 cm
   2. 24 cm
   3. 48 cm
   4. 144 cm
   Show answer

   Answer: C. 48 cm

   The area of a square is A = s². Given A = 144 sq cm, so s² = 144. Taking the square root, s = √144 = 12 cm. The perimeter of the square is P = 4s = 4 * 12 = 48 cm.

More questions in this quiz

Answers and explanations are in the full quiz.

1. What is the area of a circle with a diameter of 14 cm?
2. If the circumference of a circle is 66 cm, find its radius.
3. A rectangular field is 50 meters long and 30 meters wide. What is its perimeter?
4. The perimeter of a square is 36 cm. What is its side length?
5. What is the area of a square with a side length of 10 meters?
6. A circle has an area of 1386 sq cm. Find its radius. (Use π = 22/7)
7. The length of a rectangle is twice its width. If its perimeter is 60 cm, find its length.
8. If the area of a circular disc is 616 sq m, what is its diameter? (Use π = 22/7)
9. The circumference of a circle is 132 cm. Find its area. (Use π = 22/7)
10. A rectangular plot measures 25 m by 18 m. What is the cost of leveling it at ₹50 per square meter?
11. The ratio of the radii of two circles is 2:3. What is the ratio of their areas?
12. A circular wire of radius 21 cm is bent into a square. What is the side of the square? (Use π = 22/7)
13. The perimeter of a square is equal to the circumference of a circle. If the side of the square is 11 cm, find the radius of the circle. (Use π = 22/7)
14. A rectangular garden is 40 meters long and 25 meters wide. What is the cost of planting grass at ₹15 per square meter?
15. What is the length of the diameter of a circle whose circumference is 94.2 cm? (Use π = 3.14)
16. The diameter of a circular pond is 10 meters. What is its area? (Use π = 3.14)
17. A rectangular path of width 2 meters runs around a circular park of radius 10 meters. Find the area of the path.
18. A rectangular field is 60 meters long and 40 meters wide. It is surrounded by a path 3 meters wide. Find the area of the path.

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