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Vidaara.orgClass 8 · Mathematics
CodeVID-M8-13-CT
Circles — Full Chapter Test
Chapter: Circles
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • This is a full-length test covering the whole chapter — every topic is included.
  • 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 of a circle is the:
  • A.radius
  • B.diameter
  • C.arc
  • D.tangent
5.
The circumference is also:
  • A.$\pi d$
  • B.$2\pi d$
  • C.$\pi d^2$
  • D.$\tfrac{d}{\pi}$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
If the radius is $7$, find the diameter.
7.
Find $C$ for $r=7$ ($\pi=\tfrac{22}{7}$).
8.
Find the area for $r=7$ ($\pi=\tfrac{22}{7}$).
9.
If the diameter is $10$, find the radius.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
The radius is $9$ cm. Find the diameter.
11.
Find the circumference of a circle with $r=35$ cm ($\pi=\tfrac{22}{7}$).
12.
Find the area of a circle with diameter $28$ cm ($\pi=\tfrac{22}{7}$).
13.
Define a chord.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Define radius, diameter, chord, arc and sector in one line each.
15.
A circular track has radius $70$ m. Find its circumference and the distance covered in $3$ rounds ($\pi=\tfrac{22}{7}$).

Answer Key

Section A — Multiple Choice Questions
  1. (B) twice
  2. (B) $2\pi r$
  3. (B) $\pi r^2$
  4. (B) diameter
  5. (A) $\pi d$
Section B — Short Answer (2 marks)
  1. $14$.
  2. $44$.
  3. $154$.
  4. $5$.
Section C — Short Answer (3 marks)
  1. $18$ cm.
  2. $220$ cm.
  3. $616$ cm$^2$.
  4. A segment joining two points on the circle.
Section D — Long Answer (5 marks)
  1. Radius: centre to circle; diameter: longest chord through the centre ($=2r$); chord: segment joining two points; arc: part of the circumference; sector: region between two radii and an arc.
  2. Circumference $440$ m; $3$ rounds $1320$ m.
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