EduSahara™ Assignment
Name : Circle Basics
Chapter : Circle
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
Identify the figure below
  • (i)
    quadrilateral
  • (ii)
    angle
  • (iii)
    circle
  • (iv)
    octagon
  • (v)
    nonagon
Question 2
2.
    • The centre of the circle is
  • (i)
    E
  • (ii)
    C
  • (iii)
    F
  • (iv)
    D
  • (v)
    I
Question 3
3.
    • The chords of the circle are
  • (i)
     


    BC
     
     
    ,
     


    CD
     
     
    ,
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FB
     
     
    ,
     


    DF
     
     
  • (ii)
     


    GB
     
     
    ,
     


    GC
     
     
    ,
     


    GD
     
     
    ,
     


    GE
     
     
    ,
     


    GF
     
     
  • (iii)
     


    CD
     
     
    ,
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FB
     
     
  • (iv)
     


    BC
     
     
    ,
     


    CD
     
     
    ,
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FB
     
     
    ,
     


    GC
     
     
  • (v)
     


    BC
     
     
    ,
     


    CD
     
     
    ,
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


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


    SM
     
     
    ,
     


    SN
     
     
    ,
     


    SO
     
     
    ,
     


    SP
     
     
    ,
     


    SQ
     
     
    ,
     


    SR
     
     
    ,
     


    PR
     
     
  • (ii)
     


    MN
     
     
    ,
     


    NO
     
     
    ,
     


    OP
     
     
    ,
     


    PQ
     
     
    ,
     


    QR
     
     
    ,
     


    RM
     
     
    ,
     


    PR
     
     
  • (iii)
     


    MN
     
     
    ,
     


    NO
     
     
    ,
     


    OP
     
     
    ,
     


    PQ
     
     
    ,
     


    QR
     
     
    ,
     


    RM
     
     
  • (iv)
     


    PR
     
     
  • (v)
     


    SM
     
     
    ,
     


    SN
     
     
    ,
     


    SO
     
     
    ,
     


    SP
     
     
    ,
     


    SQ
     
     
    ,
     


    SR
     
     
Question 5
5.
    • The minor sector of the circle is
  • (i)
    KFHGK
  • (ii)
    FHGJF
  • (iii)
    FHG
  • (iv)
    FIG
  • (v)
    KFIGK
Question 6
6.
    • The major sector of the circle is
  • (i)
    GBDCG
  • (ii)
    BEC
  • (iii)
    BDCFB
  • (iv)
    BDC
  • (v)
    GBECG
Question 7
7.
    • The minor arc of the circle is
  • (i)
    IDGEI
  • (ii)
    IDFEI
  • (iii)
    DGE
  • (iv)
    DFE
  • (v)
    DFEHD
Question 8
8.
    • The major arc of the circle is
  • (i)
    CFD
  • (ii)
    CEDGC
  • (iii)
    HCEDH
  • (iv)
    CED
  • (v)
    HCFDH
Question 9
9.
    • The minor segment of the circle is
  • (i)
    KFHGK
  • (ii)
    FIG
  • (iii)
    FHG
  • (iv)
    FHGJF
  • (v)
    KFIGK
Question 10
10.
    • The major segment of the circle is
  • (i)
    DGE
  • (ii)
    IDFEI
  • (iii)
    DFEHD
  • (iv)
    IDGEI
  • (v)
    DGEHD
Question 11
11.
Find the points belonging to the circle
  • (i)
    {I,L}
  • (ii)
    {L,K}
  • (iii)
    {J,M}
  • (iv)
    {K,N}
  • (v)
    {L,J}
Question 12
12.
Find the points belonging to the inside of the circle
  • (i)
    {F,I}
  • (ii)
    {H,I}
  • (iii)
    {E,H}
  • (iv)
    {J,F}
  • (v)
    {G,J}
Question 13
13.
The mid-point of the diameter of a circle is called
  • (i)
    semi-circle
  • (ii)
    major segment
  • (iii)
    circumference
  • (iv)
    chord
  • (v)
    centre
Question 14
14.
A line segment joining any point on the circle with its centre is called
  • (i)
    diameter
  • (ii)
    segment
  • (iii)
    circumference
  • (iv)
    radius
  • (v)
    major segment
Question 15
15.
A line segment having its end points on the circle is called a
  • (i)
    diameter
  • (ii)
    circumference
  • (iii)
    chord
  • (iv)
    centre
  • (v)
    semi-circle
Question 16
16.
A chord that passes through the centre of the circle is called
  • (i)
    segment
  • (ii)
    semi-circle
  • (iii)
    radius
  • (iv)
    diameter
  • (v)
    chord
Question 17
17.
A chord of a circle divides the whole circular region into two parts, each called a
  • (i)
    diameter
  • (ii)
    circumference
  • (iii)
    segment
  • (iv)
    centre
  • (v)
    radius
Question 18
18.
The segment of the circle containing the centre of the circle is called
  • (i)
    major segment
  • (ii)
    diameter
  • (iii)
    chord
  • (iv)
    segment
  • (v)
    semi-circle
Question 19
19.
Half of a circle is called
  • (i)
    semi-circle
  • (ii)
    segment
  • (iii)
    diameter
  • (iv)
    circumference
  • (v)
    radius
Question 20
20.
The perimeter of a circle is called
  • (i)
    chord
  • (ii)
    semi-circle
  • (iii)
    centre
  • (iv)
    radius
  • (v)
    circumference
Question 21
21.
In the given triangle S is the circumcentre. If SH = 13.40 cm, find the circumference of the circumcircle
  • (i)
    85.2 cm
  • (ii)
    82.2 cm
  • (iii)
    84.2 cm
  • (iv)
    86.2 cm
  • (v)
    83.2 cm
Question 22
22.
    • The radii of the circle are
  • (i)
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
  • (ii)
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
  • (iii)
     


    OJ
     
     
    ,
     


    OK
     
     
    ,
     


    OL
     
     
    ,
     


    OM
     
     
    ,
     


    ON
     
     
  • (iv)
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
    ,
     


    LN
     
     
  • (v)
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
    ,
     


    OJ
     
     
Question 23
23.
The distance around the circle is called
  • (i)
    diameter
  • (ii)
    chord
  • (iii)
    radius
  • (iv)
    circumference
  • (v)
    arc
Question 24
24.
Find the points belonging to the outside of the circle
  • (i)
    {R,P}
  • (ii)
    {P,S}
  • (iii)
    {Q,P}
  • (iv)
    {N,Q}
  • (v)
    {O,R}
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)
    on the circle
  • (ii)
    outside the circle
  • (iii)
    inside 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)
    on the circle
  • (ii)
    inside the circle
  • (iii)
    outside 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)
    inside the circle
  • (ii)
    outside the circle
  • (iii)
    on the circle
Question 28
28.
Which of the following statements are true?
a)
Every circle has a unique centre.
b)
A circle consists of an infinite number of points.
c)
Every circle has a unique diameter.
d)
A line can meet a circle atmost at two points.
e)
Each radius of a circle is also a chord of the circle.
  • (i)
    {c,e,d}
  • (ii)
    {c,a,b}
  • (iii)
    {c,a}
  • (iv)
    {e,b}
  • (v)
    {a,b,d}
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)
Two semi-circles of a circle together make the whole circle.
e)
An infinite number of diameters may be drawn for a circle.
  • (i)
    {a,b,d}
  • (ii)
    {a,b}
  • (iii)
    {b,d,e}
  • (iv)
    {c,d}
  • (v)
    {a,c,e}
Question 30
30.
Which of the following statements are true?
a)
One and only one tangent can be drawn to a circle from a point outside it.
b)
A secant of a circle is a segment having its end points on the circle.
c)
Diameter of a circle is a part of the semi-circle of the circle.
d)
One and only one tangent can be drawn to pass through a point on a circle.
e)
Every circle has a unique diameter.
  • (i)
    {c,d}
  • (ii)
    {b,d,c}
  • (iii)
    {e,a,c}
  • (iv)
    {b,d}
  • (v)
    {a,c}
Question 31
31.
If the diameter of a circle is 84 cm, what is its radius?
  • (i)
    44 cm
  • (ii)
    42 cm
  • (iii)
    43 cm
  • (iv)
    41 cm
  • (v)
    40 cm
Question 32
32.
If the radius of a circle is 49 cm, what is its diameter?
  • (i)
    98 cm
  • (ii)
    99 cm
  • (iii)
    96 cm
  • (iv)
    100 cm
  • (v)
    97 cm
Question 33
33.
Two circles with equal radii are
  • (i)
    not similar
  • (ii)
    congruent
  • (iii)
    only similar but not congruent
  • (iv)
    concentric
Question 34
34.
Which of the following figures represent a chord ?
  • (i)
    fig IV
  • (ii)
    fig III
  • (iii)
    fig II
  • (iv)
    fig V
  • (v)
    fig I
Question 35
35.
Which of the following figures represent a diameter ?
  • (i)
    fig V
  • (ii)
    fig IV
  • (iii)
    fig III
  • (iv)
    fig I
  • (v)
    fig II
Question 36
36.
Which of the following figures represent a secant ?
  • (i)
    fig II
  • (ii)
    fig III
  • (iii)
    fig V
  • (iv)
    fig IV
  • (v)
    fig I
Question 37
37.
Which of the following figures represent a tangent ?
  • (i)
    fig III
  • (ii)
    fig II
  • (iii)
    fig I
  • (iv)
    fig IV
  • (v)
    fig V
    Assignment Key

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