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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-10-DEF-01
Circle - Definitions & Terms - Assignment
Chapter: Circles
Topic: Definitions and Basic Terms Related to Circles
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 longest chord of a circle is the:
  • A.radius
  • B.diameter
  • C.arc
  • D.tangent
2.
The diameter is ___ the radius.
  • A.half
  • B.twice
  • C.equal to
  • D.four times
3.
A segment joining two points on a circle is a:
  • A.radius
  • B.chord
  • C.tangent
  • D.sector
4.
A part of the circumference is an:
  • A.arc
  • B.chord
  • C.radius
  • D.sector
5.
The region between a chord and its arc is a:
  • A.sector
  • B.segment
  • C.tangent
  • D.radius
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.
Define a chord.
11.
The radius is $8$ cm; find the diameter.
12.
What is a region bounded by two radii and an arc called?
13.
What is the fixed central point of a circle called?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Define: radius, diameter, chord, arc and sector (one line each).
15.
The diameter of a circle is $26$ cm and a chord is $24$ cm long. Find the distance of the chord from the centre.

Answer Key

Section A — Multiple Choice Questions
  1. (B) diameter
  2. (B) twice
  3. (B) chord
  4. (A) arc
  5. (B) segment
Section B — Short Answer (2 marks)
  1. $14$.
  2. $5$.
  3. The diameter.
  4. The circumference.
Section C — Short Answer (3 marks)
  1. A segment joining two points on the circle.
  2. $16$ cm.
  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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