EduSahara™ Assignment
Name : Circle Basics
Chapter : Circle
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
Identify the figure below
  • (i)
    nonagon
  • (ii)
    quadrilateral
  • (iii)
    decagon
  • (iv)
    pentagon
  • (v)
    circle
Question 2
2.
    • The centre of the circle is
  • (i)
    P
  • (ii)
    L
  • (iii)
    K
  • (iv)
    M
  • (v)
    J
Question 3
3.
    • The chords of the circle are
  • (i)
     


    FA
     
     
    ,
     


    FB
     
     
    ,
     


    FC
     
     
    ,
     


    FD
     
     
    ,
     


    FE
     
     
  • (ii)
     


    AB
     
     
    ,
     


    BC
     
     
    ,
     


    CD
     
     
    ,
     


    DE
     
     
    ,
     


    EA
     
     
    ,
     


    FE
     
     
  • (iii)
     


    BC
     
     
    ,
     


    CD
     
     
    ,
     


    DE
     
     
    ,
     


    EA
     
     
  • (iv)
     


    AB
     
     
    ,
     


    BC
     
     
    ,
     


    CD
     
     
    ,
     


    DE
     
     
    ,
     


    EA
     
     
    ,
     


    CE
     
     
  • (v)
     


    AB
     
     
    ,
     


    BC
     
     
    ,
     


    CD
     
     
    ,
     


    DE
     
     
    ,
     


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


    FH
     
     
    ,
     


    Gx
     
     
  • (ii)
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HD
     
     
    ,
     


    FH
     
     
  • (iii)
     


    ID
     
     
    ,
     


    IE
     
     
    ,
     


    IF
     
     
    ,
     


    IG
     
     
    ,
     


    IH
     
     
  • (iv)
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HD
     
     
  • (v)
     


    ID
     
     
    ,
     


    IE
     
     
    ,
     


    IF
     
     
    ,
     


    IG
     
     
    ,
     


    IH
     
     
    ,
     


    FH
     
     
Question 5
5.
    • The minor sector of the circle is
  • (i)
    HKI
  • (ii)
    MHKIM
  • (iii)
    MHJIM
  • (iv)
    HJI
  • (v)
    HJILH
Question 6
6.
    • The major sector of the circle is
  • (i)
    DFEHD
  • (ii)
    DGE
  • (iii)
    DFE
  • (iv)
    IDGEI
  • (v)
    IDFEI
Question 7
7.
    • The minor arc of the circle is
  • (i)
    GJH
  • (ii)
    LGIHL
  • (iii)
    GIH
  • (iv)
    GJHKG
  • (v)
    LGJHL
Question 8
8.
    • The major arc of the circle is
  • (i)
    HCEDH
  • (ii)
    CEDGC
  • (iii)
    CFDGC
  • (iv)
    HCFDH
  • (v)
    CFD
Question 9
9.
    • The minor segment of the circle is
  • (i)
    DGE
  • (ii)
    DFEHD
  • (iii)
    DGEHD
  • (iv)
    IDGEI
  • (v)
    IDFEI
Question 10
10.
    • The major segment of the circle is
  • (i)
    HJI
  • (ii)
    MHKIM
  • (iii)
    MHJIM
  • (iv)
    HKILH
  • (v)
    HJILH
Question 11
11.
Find the points belonging to the circle
  • (i)
    {J,M}
  • (ii)
    {K,I}
  • (iii)
    {I,L}
  • (iv)
    {H,M}
  • (v)
    {H,K}
Question 12
12.
Find the points belonging to the inside of the circle
  • (i)
    {B,E,H}
  • (ii)
    {G,B,E}
  • (iii)
    {C,F,I}
  • (iv)
    {E,F,B}
  • (v)
    {A,D,G}
Question 13
13.
The mid-point of the diameter of a circle is called
  • (i)
    circumference
  • (ii)
    semi-circle
  • (iii)
    diameter
  • (iv)
    segment
  • (v)
    centre
Question 14
14.
A line segment joining any point on the circle with its centre is called
  • (i)
    radius
  • (ii)
    major segment
  • (iii)
    circumference
  • (iv)
    segment
  • (v)
    diameter
Question 15
15.
A line segment having its end points on the circle is called a
  • (i)
    chord
  • (ii)
    major segment
  • (iii)
    circumference
  • (iv)
    radius
  • (v)
    centre
Question 16
16.
A chord that passes through the centre of the circle is called
  • (i)
    circumference
  • (ii)
    chord
  • (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)
    circumference
  • (ii)
    major segment
  • (iii)
    centre
  • (iv)
    segment
  • (v)
    semi-circle
Question 18
18.
The segment of the circle containing the centre of the circle is called
  • (i)
    circumference
  • (ii)
    chord
  • (iii)
    major segment
  • (iv)
    semi-circle
  • (v)
    radius
Question 19
19.
Half of a circle is called
  • (i)
    centre
  • (ii)
    circumference
  • (iii)
    segment
  • (iv)
    diameter
  • (v)
    semi-circle
Question 20
20.
The perimeter of a circle is called
  • (i)
    diameter
  • (ii)
    semi-circle
  • (iii)
    circumference
  • (iv)
    major segment
  • (v)
    radius
Question 21
21.
In the given triangle S is the circumcentre. If SH = 12.50 cm, find the circumference of the circumcircle
  • (i)
    76.6 cm
  • (ii)
    80.6 cm
  • (iii)
    79.6 cm
  • (iv)
    77.6 cm
  • (v)
    78.6 cm
Question 22
22.
    • The radii of the circle are
  • (i)
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MH
     
     
    ,
     


    NJ
     
     
  • (ii)
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MH
     
     
    ,
     


    JL
     
     
  • (iii)
     


    NH
     
     
    ,
     


    NI
     
     
    ,
     


    NJ
     
     
    ,
     


    NK
     
     
    ,
     


    NL
     
     
    ,
     


    NM
     
     
  • (iv)
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MH
     
     
  • (v)
     


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MH
     
     
Question 23
23.
The distance around the circle is called
  • (i)
    diameter
  • (ii)
    radius
  • (iii)
    arc
  • (iv)
    chord
  • (v)
    circumference
Question 24
24.
Find the points belonging to the outside of the circle
  • (i)
    {F,I,L}
  • (ii)
    {E,I,F}
  • (iii)
    {L,J,I}
  • (iv)
    {E,H,K}
  • (v)
    {D,G,J}
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)
    inside the circle
  • (ii)
    outside 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)
    inside the circle
  • (ii)
    outside 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)
    on the circle
  • (ii)
    outside the circle
  • (iii)
    inside the circle
Question 28
28.
Which of the following statements are true?
a)
Every circle has a unique diameter.
b)
A circle consists of an infinite number of points.
c)
A line can meet a circle atmost at two points.
d)
Each radius of a circle is also a chord of the circle.
e)
Every circle has a unique centre.
  • (i)
    {a,d,e}
  • (ii)
    {d,c}
  • (iii)
    {a,b,c}
  • (iv)
    {b,c,e}
  • (v)
    {a,b}
Question 29
29.
Which of the following statements are true?
a)
Two semi-circles of a circle together make the whole circle.
b)
An infinite number of diameters may be drawn for a circle.
c)
Every circle has a unique diameter.
d)
One and only one tangent can be drawn to a circle from a point outside it.
e)
An infinite number of chords may be drawn for a circle.
  • (i)
    {c,d,e}
  • (ii)
    {d,b}
  • (iii)
    {a,b,e}
  • (iv)
    {c,a,b}
  • (v)
    {c,a}
Question 30
30.
Which of the following statements are true?
a)
One and only one tangent can be drawn to pass through a point on a circle.
b)
A secant of a circle is a segment having its end points on the circle.
c)
Every circle has a unique diameter.
d)
Diameter of a circle is a part of the semi-circle of the circle.
e)
One and only one tangent can be drawn to a circle from a point outside it.
  • (i)
    {e,b,a}
  • (ii)
    {c,d,a}
  • (iii)
    {a,d}
  • (iv)
    {b,a}
  • (v)
    {c,d}
Question 31
31.
If the diameter of a circle is 98 cm, what is its radius?
  • (i)
    49 cm
  • (ii)
    50 cm
  • (iii)
    48 cm
  • (iv)
    51 cm
  • (v)
    47 cm
Question 32
32.
If the radius of a circle is 14 cm, what is its diameter?
  • (i)
    30 cm
  • (ii)
    26 cm
  • (iii)
    27 cm
  • (iv)
    29 cm
  • (v)
    28 cm
Question 33
33.
Two circles with equal radii are
  • (i)
    congruent
  • (ii)
    concentric
  • (iii)
    not similar
  • (iv)
    only similar but not congruent
Question 34
34.
Which of the following figures represent a chord ?
  • (i)
    fig II
  • (ii)
    fig III
  • (iii)
    fig IV
  • (iv)
    fig I
  • (v)
    fig V
Question 35
35.
Which of the following figures represent a diameter ?
  • (i)
    fig V
  • (ii)
    fig II
  • (iii)
    fig I
  • (iv)
    fig IV
  • (v)
    fig III
Question 36
36.
Which of the following figures represent a secant ?
  • (i)
    fig II
  • (ii)
    fig V
  • (iii)
    fig I
  • (iv)
    fig IV
  • (v)
    fig III
Question 37
37.
Which of the following figures represent a tangent ?
  • (i)
    fig I
  • (ii)
    fig II
  • (iii)
    fig III
  • (iv)
    fig IV
  • (v)
    fig V
    Assignment Key

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