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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-13-TRM-01
Circle Terms - Assignment
Chapter: Circles
Topic: Radius, Diameter, Chord, Arc, and Sector
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 longest chord of a circle is the:
  • A.radius
  • B.diameter
  • C.arc
  • D.tangent
3.
A chord joins:
  • A.centre to circle
  • B.two points on the circle
  • C.two centres
  • D.two arcs
4.
A part of the circumference is an:
  • A.arc
  • B.chord
  • C.radius
  • D.sector
5.
A region bounded by two radii and an arc is a:
  • A.segment
  • B.sector
  • C.chord
  • D.tangent
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
If the radius is $7$, find the diameter.
7.
If the diameter is $10$, find the radius.
8.
Name the longest chord of a circle.
9.
What is the boundary of a circle called?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
The radius is $9$ cm. Find the diameter.
11.
Define a chord.
12.
What is a region bounded by two radii and an arc called?
13.
What is the fixed central point called?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Define radius, diameter, chord, arc and sector in one line each.
15.
A circle has diameter $26$ cm and a chord of $24$ cm. Find the distance of the chord from the centre.

Answer Key

Section A — Multiple Choice Questions
  1. (B) twice
  2. (B) diameter
  3. (B) two points on the circle
  4. (A) arc
  5. (B) sector
Section B — Short Answer (2 marks)
  1. $14$.
  2. $5$.
  3. The diameter.
  4. The circumference.
Section C — Short Answer (3 marks)
  1. $18$ cm.
  2. A segment joining two points on the circle.
  3. A sector.
  4. The centre.
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. $5$ cm.
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