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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-13-CIR-01
Circumference - Assignment
Chapter: Circles
Topic: Circumference of a Circle
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
The circumference is:
  • A.$\pi r^2$
  • B.$2\pi r$
  • C.$\pi r$
  • D.$4r$
2.
The circumference is also:
  • A.$\pi d$
  • B.$2\pi d$
  • C.$\pi d^2$
  • D.$\tfrac{d}{\pi}$
3.
For $r=7$ ($\pi=\tfrac{22}{7}$), $C=$
  • A.$22$
  • B.$44$
  • C.$49$
  • D.$14$
4.
$\pi\approx$
  • A.$2.14$
  • B.$3.14$
  • C.$1.14$
  • D.$4.13$
5.
The circumference is the ___ of a circle.
  • A.area
  • B.perimeter
  • C.radius
  • D.diameter
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find $C$ for $r=7$ ($\pi=\tfrac{22}{7}$).
7.
Find $C$ for $r=14$ ($\pi=\tfrac{22}{7}$).
8.
Find $C$ for $d=10$ ($\pi=3.14$).
9.
Find $C$ for $r=21$ ($\pi=\tfrac{22}{7}$).
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the circumference of a circle with $r=35$ cm ($\pi=\tfrac{22}{7}$).
11.
The circumference is $88$ cm. Find the radius ($\pi=\tfrac{22}{7}$).
12.
A wheel has radius $0.35$ m. Find its circumference ($\pi=\tfrac{22}{7}$).
13.
Find the perimeter of a semicircle of radius $7$ ($\pi=\tfrac{22}{7}$).
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A circular track has radius $70$ m. Find its circumference and the distance covered in $3$ rounds ($\pi=\tfrac{22}{7}$).
15.
A wheel of diameter $70$ cm rolls along the ground. How many revolutions to cover $110$ m ($\pi=\tfrac{22}{7}$)?

Answer Key

Section A — Multiple Choice Questions
  1. (B) $2\pi r$
  2. (A) $\pi d$
  3. (B) $44$
  4. (B) $3.14$
  5. (B) perimeter
Section B — Short Answer (2 marks)
  1. $44$.
  2. $88$.
  3. $31.4$.
  4. $132$.
Section C — Short Answer (3 marks)
  1. $220$ cm.
  2. $14$ cm.
  3. $2.2$ m.
  4. $36$.
Section D — Long Answer (5 marks)
  1. Circumference $440$ m; $3$ rounds $1320$ m.
  2. $50$ revolutions.
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