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Vidaara.orgClass 7 · Mathematics
CodeVID-M07-09-CIR-01
Circle Basics - Assignment
Chapter: Circles (Basics)
Topic: Radius, Diameter, Chord, Circumference, Area
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 diameter is ___ the radius.
  • A.half
  • B.twice
  • C.equal to
  • D.four times
2.
The circumference is:
  • A.$\pi r^2$
  • B.$2\pi r$
  • C.$\pi r$
  • D.$4r$
3.
The area of a circle is:
  • A.$2\pi r$
  • B.$\pi r^2$
  • C.$\pi d$
  • D.$\pi r$
4.
The longest chord is the:
  • A.radius
  • B.diameter
  • C.arc
  • D.tangent
5.
A chord joins ___ points on the circle.
  • A.one
  • B.two
  • C.three
  • D.zero
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
If $r=7$, find the diameter.
7.
Find $C$ for $r=7$ ($\pi=\tfrac{22}{7}$).
8.
Find $A$ for $r=7$ ($\pi=\tfrac{22}{7}$).
9.
Name the longest chord of a circle.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the circumference of a circle with $r=14$ ($\pi=\tfrac{22}{7}$).
11.
Find the area of a circle with $r=14$ ($\pi=\tfrac{22}{7}$).
12.
The circumference is $44$ cm. Find the radius ($\pi=\tfrac{22}{7}$).
13.
Find the area of a circle with diameter $14$ ($\pi=\tfrac{22}{7}$).
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A circular park has radius $21$ m. Find its circumference and area ($\pi=\tfrac{22}{7}$).
15.
A wheel of radius $35$ cm rolls. Find its circumference and how far it travels in $10$ revolutions ($\pi=\tfrac{22}{7}$).

Answer Key

Section A — Multiple Choice Questions
  1. (B) twice
  2. (B) $2\pi r$
  3. (B) $\pi r^2$
  4. (B) diameter
  5. (B) two
Section B — Short Answer (2 marks)
  1. $14$.
  2. $44$.
  3. $154$.
  4. The diameter.
Section C — Short Answer (3 marks)
  1. $88$.
  2. $616$.
  3. $7$ cm.
  4. $154$.
Section D — Long Answer (5 marks)
  1. Circumference $132$ m; area $1386$ m$^2$.
  2. Circumference $220$ cm; distance $22$ m.
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