1. The circumference of a circle is given by which formula? (r = radius, d = diameter)
- A2*pi*r
- Bpi*r²
- Cpi*r
- Dpi*d²
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Answer: A) 2*pi*r
Circumference C = 2*pi*r = pi*d. (pi*r² is the area.)
Class 7 Circumference of a Circle — practice questions with answers
Perimeter and Area · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. A circle has radius 28 cm. Its circumference (pi = ) is:
- A176 cm
- B88 cm
- C154 cm
- D264 cm
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Answer: A) 176 cm
C = 2**28 = 2*22*4 = 176 cm.
3. A circle has circumference 22 cm. Its diameter (pi = ) is:
- A7
- B6
- C8
- D14
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Answer: A) 7
C = pi*d => 22 = *d => d = = 7 cm.
4. A circular running track has a circumference of 396 m.
Kavya covers 4 complete rounds during her morning jog.
What total distance (in metres) does she cover?
Kavya covers 4 complete rounds during her morning jog.
What total distance (in metres) does she cover?
- A3168
- B1424
- C1744
- D1584
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Answer: D) 1584
Distance = 4 * circumference = 4 * 396 = 1584 m.
5. The circumference of the front wheel of a tractor is 2 m and that of the rear wheel is 4 m.
When the tractor moves forward, the front wheel makes 60 more turns than the rear wheel over the same distance.
What distance (in metres) does the tractor travel?
When the tractor moves forward, the front wheel makes 60 more turns than the rear wheel over the same distance.
What distance (in metres) does the tractor travel?
- A240 m
- B120 m
- C480 m
- D180 m
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Answer: A) 240 m
Let distance = D. Front turns = , rear turns = . = 60 => = 60 => D = 240 m.
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