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.

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
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   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
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   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
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   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
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   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.

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