EduSahara™ Assignment
Name : Circle Basics
Chapter : Circle
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
Identify the figure below
  • (i)
    pentagon
  • (ii)
    triangle
  • (iii)
    circle
  • (iv)
    nonagon
  • (v)
    heptagon
Question 2
2.
    • The centre of the circle is
  • (i)
    E
  • (ii)
    F
  • (iii)
    G
  • (iv)
    H
  • (v)
    K
Question 3
3.
    • The chords of the circle are
  • (i)
     


    CD
     
     
    ,
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HC
     
     
    ,
     


    FH
     
     
  • (ii)
     


    IC
     
     
    ,
     


    ID
     
     
    ,
     


    IE
     
     
    ,
     


    IF
     
     
    ,
     


    IG
     
     
    ,
     


    IH
     
     
  • (iii)
     


    CD
     
     
    ,
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HC
     
     
    ,
     


    IH
     
     
  • (iv)
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HC
     
     
  • (v)
     


    CD
     
     
    ,
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HC
     
     
Question 4
4.
    • The diameters of the circle are
  • (i)
     


    DF
     
     
    ,
     


    EG
     
     
    ,
     


    Fx
     
     
  • (ii)
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GD
     
     
    ,
     


    DF
     
     
  • (iii)
     


    HD
     
     
    ,
     


    HE
     
     
    ,
     


    HF
     
     
    ,
     


    HG
     
     
  • (iv)
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GD
     
     
  • (v)
     


    HD
     
     
    ,
     


    HE
     
     
    ,
     


    HF
     
     
    ,
     


    HG
     
     
    ,
     


    EG
     
     
Question 5
5.
    • The minor sector of the circle is
  • (i)
    JLKNJ
  • (ii)
    JMK
  • (iii)
    JMKNJ
  • (iv)
    JLK
  • (v)
    OJLKO
Question 6
6.
    • The major sector of the circle is
  • (i)
    IKJMI
  • (ii)
    ILJ
  • (iii)
    NIKJN
  • (iv)
    NILJN
  • (v)
    ILJMI
Question 7
7.
    • The minor arc of the circle is
  • (i)
    GIH
  • (ii)
    GJHKG
  • (iii)
    GIHKG
  • (iv)
    LGIHL
  • (v)
    LGJHL
Question 8
8.
    • The major arc of the circle is
  • (i)
    GBECG
  • (ii)
    BEC
  • (iii)
    BDCFB
  • (iv)
    BDC
  • (v)
    BECFB
Question 9
9.
    • The minor segment of the circle is
  • (i)
    CED
  • (ii)
    HCFDH
  • (iii)
    CFDGC
  • (iv)
    CEDGC
  • (v)
    CFD
Question 10
10.
    • The major segment of the circle is
  • (i)
    FIG
  • (ii)
    KFHGK
  • (iii)
    FIGJF
  • (iv)
    FHG
  • (v)
    KFIGK
Question 11
11.
Find the points belonging to the circle
  • (i)
    {L,O}
  • (ii)
    {N,L}
  • (iii)
    {M,P}
  • (iv)
    {N,Q}
  • (v)
    {M,O}
Question 12
12.
Find the points belonging to the inside of the circle
  • (i)
    {D,G,J}
  • (ii)
    {D,J,I}
  • (iii)
    {E,H,K}
  • (iv)
    {G,J,H}
  • (v)
    {C,F,I}
Question 13
13.
The mid-point of the diameter of a circle is called
  • (i)
    diameter
  • (ii)
    semi-circle
  • (iii)
    centre
  • (iv)
    radius
  • (v)
    major segment
Question 14
14.
A line segment joining any point on the circle with its centre is called
  • (i)
    diameter
  • (ii)
    chord
  • (iii)
    segment
  • (iv)
    radius
  • (v)
    circumference
Question 15
15.
A line segment having its end points on the circle is called a
  • (i)
    centre
  • (ii)
    chord
  • (iii)
    radius
  • (iv)
    semi-circle
  • (v)
    major segment
Question 16
16.
A chord that passes through the centre of the circle is called
  • (i)
    circumference
  • (ii)
    radius
  • (iii)
    diameter
  • (iv)
    semi-circle
  • (v)
    segment
Question 17
17.
A chord of a circle divides the whole circular region into two parts, each called a
  • (i)
    semi-circle
  • (ii)
    centre
  • (iii)
    segment
  • (iv)
    chord
  • (v)
    radius
Question 18
18.
The segment of the circle containing the centre of the circle is called
  • (i)
    radius
  • (ii)
    chord
  • (iii)
    semi-circle
  • (iv)
    major segment
  • (v)
    segment
Question 19
19.
Half of a circle is called
  • (i)
    major segment
  • (ii)
    semi-circle
  • (iii)
    chord
  • (iv)
    segment
  • (v)
    radius
Question 20
20.
The perimeter of a circle is called
  • (i)
    major segment
  • (ii)
    segment
  • (iii)
    circumference
  • (iv)
    diameter
  • (v)
    radius
Question 21
21.
In the given triangle S is the circumcentre. If SG = 12.30 cm, find the circumference of the circumcircle
  • (i)
    78.3 cm
  • (ii)
    79.3 cm
  • (iii)
    77.3 cm
  • (iv)
    75.3 cm
  • (v)
    76.3 cm
Question 22
22.
    • The radii of the circle are
  • (i)
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HD
     
     
  • (ii)
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HD
     
     
    ,
     


    FH
     
     
  • (iii)
     


    ID
     
     
    ,
     


    IE
     
     
    ,
     


    IF
     
     
    ,
     


    IG
     
     
    ,
     


    IH
     
     
  • (iv)
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HD
     
     
  • (v)
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HD
     
     
    ,
     


    IH
     
     
Question 23
23.
The distance around the circle is called
  • (i)
    circumference
  • (ii)
    chord
  • (iii)
    radius
  • (iv)
    diameter
  • (v)
    arc
Question 24
24.
Find the points belonging to the outside of the circle
  • (i)
    {I,J}
  • (ii)
    {I,L}
  • (iii)
    {H,K}
  • (iv)
    {J,M}
  • (v)
    {J,K}
Question 25
25.
    • 'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane.
    • If
    •  
    •  


      OP
       
       
    • = r ,then P is
  • (i)
    outside the circle
  • (ii)
    inside the circle
  • (iii)
    on the circle
Question 26
26.
    • 'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane.
    • If
    •  
    •  


      OP
       
       
    • < r,then P is
  • (i)
    outside the circle
  • (ii)
    inside the circle
  • (iii)
    on the circle
Question 27
27.
    • 'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane.
    • If
    •  
    •  


      OP
       
       
    • > r,then P is
  • (i)
    outside the circle
  • (ii)
    on the circle
  • (iii)
    inside the circle
Question 28
28.
Which of the following statements are true?
a)
A line can meet a circle atmost at two points.
b)
Every circle has a unique centre.
c)
A circle consists of an infinite number of points.
d)
Each radius of a circle is also a chord of the circle.
e)
Every circle has a unique diameter.
  • (i)
    {d,a}
  • (ii)
    {e,b}
  • (iii)
    {d,a,b}
  • (iv)
    {a,b,c}
  • (v)
    {d,e,c}
Question 29
29.
Which of the following statements are true?
a)
Every circle has a unique diameter.
b)
An infinite number of chords may be drawn for a circle.
c)
One and only one tangent can be drawn to a circle from a point outside it.
d)
An infinite number of diameters may be drawn for a circle.
e)
Two semi-circles of a circle together make the whole circle.
  • (i)
    {a,c,e}
  • (ii)
    {c,d}
  • (iii)
    {a,b,d}
  • (iv)
    {a,b}
  • (v)
    {b,d,e}
Question 30
30.
Which of the following statements are true?
a)
Every circle has a unique diameter.
b)
A secant of a circle is a segment having its end points on the circle.
c)
One and only one tangent can be drawn to a circle from a point outside it.
d)
One and only one tangent can be drawn to pass through a point on a circle.
e)
Diameter of a circle is a part of the semi-circle of the circle.
  • (i)
    {a,d}
  • (ii)
    {d,e}
  • (iii)
    {b,e}
  • (iv)
    {c,a,d}
  • (v)
    {b,e,d}
Question 31
31.
If the diameter of a circle is 140 cm, what is its radius?
  • (i)
    72 cm
  • (ii)
    69 cm
  • (iii)
    71 cm
  • (iv)
    68 cm
  • (v)
    70 cm
Question 32
32.
If the radius of a circle is 56 cm, what is its diameter?
  • (i)
    113 cm
  • (ii)
    112 cm
  • (iii)
    111 cm
  • (iv)
    114 cm
  • (v)
    110 cm
Question 33
33.
Two circles with equal radii are
  • (i)
    not similar
  • (ii)
    concentric
  • (iii)
    only similar but not congruent
  • (iv)
    congruent
Question 34
34.
Which of the following figures represent a chord ?
  • (i)
    fig III
  • (ii)
    fig V
  • (iii)
    fig II
  • (iv)
    fig IV
  • (v)
    fig I
Question 35
35.
Which of the following figures represent a diameter ?
  • (i)
    fig IV
  • (ii)
    fig V
  • (iii)
    fig II
  • (iv)
    fig I
  • (v)
    fig III
Question 36
36.
Which of the following figures represent a secant ?
  • (i)
    fig II
  • (ii)
    fig V
  • (iii)
    fig IV
  • (iv)
    fig I
  • (v)
    fig III
Question 37
37.
Which of the following figures represent a tangent ?
  • (i)
    fig II
  • (ii)
    fig V
  • (iii)
    fig III
  • (iv)
    fig IV
  • (v)
    fig I
    Assignment Key

  •  1) (iii)
  •  2) (v)
  •  3) (v)
  •  4) (i)
  •  5) (v)
  •  6) (iv)
  •  7) (i)
  •  8) (ii)
  •  9) (iv)
  •  10) (iii)
  •  11) (i)
  •  12) (i)
  •  13) (iii)
  •  14) (iv)
  •  15) (ii)
  •  16) (iii)
  •  17) (iii)
  •  18) (iv)
  •  19) (ii)
  •  20) (iii)
  •  21) (iii)
  •  22) (iii)
  •  23) (i)
  •  24) (iv)
  •  25) (iii)
  •  26) (ii)
  •  27) (i)
  •  28) (iv)
  •  29) (v)
  •  30) (ii)
  •  31) (v)
  •  32) (ii)
  •  33) (iv)
  •  34) (i)
  •  35) (iii)
  •  36) (ii)
  •  37) (ii)