EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Circle
Grade : ICSE Grade VI
License : Non Commercial Use
Question 1
1.
Which of the following statements are true?
a)
An infinite number of diameters may be drawn for a circle.
b)
An infinite number of chords may be drawn for a circle.
c)
Two semi-circles of a circle together make the whole circle.
d)
Every circle has a unique diameter.
e)
One and only one tangent can be drawn to a circle from a point outside it.
  • (i)
    {d,a}
  • (ii)
    {d,a,b}
  • (iii)
    {a,b,c}
  • (iv)
    {d,e,c}
  • (v)
    {e,b}
Question 2
2.
Which of the following figures represent a tangent ?
  • (i)
    fig II
  • (ii)
    fig V
  • (iii)
    fig I
  • (iv)
    fig IV
  • (v)
    fig III
Question 3
3.
    • The minor sector of the circle is
  • (i)
    EHF
  • (ii)
    JEHFJ
  • (iii)
    EHFIE
  • (iv)
    EGF
  • (v)
    JEGFJ
Question 4
4.
Half of a circle is called
  • (i)
    major segment
  • (ii)
    semi-circle
  • (iii)
    radius
  • (iv)
    diameter
  • (v)
    segment
Question 5
5.
    • The minor segment of the circle is
  • (i)
    OJLKO
  • (ii)
    JMK
  • (iii)
    JLKNJ
  • (iv)
    JLK
  • (v)
    OJMKO
Question 6
6.
    • The radii of the circle are
  • (i)
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
  • (ii)
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
  • (iii)
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
    ,
     


    OK
     
     
  • (iv)
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
    ,
     


    LN
     
     
  • (v)
     


    OJ
     
     
    ,
     


    OK
     
     
    ,
     


    OL
     
     
    ,
     


    OM
     
     
    ,
     


    ON
     
     
Question 7
7.
Which of the following statements are true?
a)
A secant of a circle is a segment having its end points on the circle.
b)
Diameter of a circle is a part of the semi-circle of the circle.
c)
One and only one tangent can be drawn to pass through a point on a circle.
d)
One and only one tangent can be drawn to a circle from a point outside it.
e)
Every circle has a unique diameter.
  • (i)
    {e,a,b}
  • (ii)
    {d,c,b}
  • (iii)
    {d,c}
  • (iv)
    {a,b}
  • (v)
    {b,c}
Question 8
8.
A chord that passes through the centre of the circle is called
  • (i)
    circumference
  • (ii)
    radius
  • (iii)
    segment
  • (iv)
    diameter
  • (v)
    chord
Question 9
9.
The mid-point of the diameter of a circle is called
  • (i)
    radius
  • (ii)
    segment
  • (iii)
    chord
  • (iv)
    centre
  • (v)
    circumference
Question 10
10.
If the radius of a circle is 42 cm, what is its diameter?
  • (i)
    84 cm
  • (ii)
    85 cm
  • (iii)
    86 cm
  • (iv)
    82 cm
  • (v)
    83 cm
Question 11
11.
Which of the following figures represent a diameter ?
  • (i)
    fig IV
  • (ii)
    fig I
  • (iii)
    fig V
  • (iv)
    fig III
  • (v)
    fig II
Question 12
12.
    • The major arc of the circle is
  • (i)
    DFEHD
  • (ii)
    DGE
  • (iii)
    DFE
  • (iv)
    DGEHD
  • (v)
    IDGEI
Question 13
13.
If the diameter of a circle is 84 cm, what is its radius?
  • (i)
    43 cm
  • (ii)
    41 cm
  • (iii)
    44 cm
  • (iv)
    40 cm
  • (v)
    42 cm
Question 14
14.
    • The minor arc of the circle is
  • (i)
    ADBEA
  • (ii)
    ADB
  • (iii)
    FADBF
  • (iv)
    ACBEA
  • (v)
    ACB
Question 15
15.
Which of the following figures represent a chord ?
  • (i)
    fig V
  • (ii)
    fig III
  • (iii)
    fig I
  • (iv)
    fig IV
  • (v)
    fig II
Question 16
16.
A line segment having its end points on the circle is called a
  • (i)
    centre
  • (ii)
    diameter
  • (iii)
    chord
  • (iv)
    radius
  • (v)
    segment
Question 17
17.
Which of the following statements are true?
a)
Each radius of a circle is also a chord of the circle.
b)
Every circle has a unique diameter.
c)
A circle consists of an infinite number of points.
d)
A line can meet a circle atmost at two points.
e)
Every circle has a unique centre.
  • (i)
    {a,c}
  • (ii)
    {c,d,e}
  • (iii)
    {a,c,d}
  • (iv)
    {b,d}
  • (v)
    {a,b,e}
Question 18
18.
The perimeter of a circle is called
  • (i)
    major segment
  • (ii)
    segment
  • (iii)
    circumference
  • (iv)
    semi-circle
  • (v)
    chord
Question 19
19.
A line segment joining any point on the circle with its centre is called
  • (i)
    circumference
  • (ii)
    radius
  • (iii)
    centre
  • (iv)
    chord
  • (v)
    semi-circle
Question 20
20.
    • The diameters of the circle are
  • (i)
     


    OI
     
     
    ,
     


    OJ
     
     
    ,
     


    OK
     
     
    ,
     


    OL
     
     
    ,
     


    OM
     
     
    ,
     


    ON
     
     
    ,
     


    LN
     
     
  • (ii)
     


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NI
     
     
  • (iii)
     


    LN
     
     
  • (iv)
     


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NI
     
     
    ,
     


    LN
     
     
  • (v)
     


    OI
     
     
    ,
     


    OJ
     
     
    ,
     


    OK
     
     
    ,
     


    OL
     
     
    ,
     


    OM
     
     
    ,
     


    ON
     
     
Question 21
21.
    • The major segment of the circle is
  • (i)
    EHFIE
  • (ii)
    JEHFJ
  • (iii)
    EGF
  • (iv)
    EGFIE
  • (v)
    EHF
Question 22
22.
    • The chords of the circle are
  • (i)
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IE
     
     
    ,
     


    JI
     
     
  • (ii)
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IE
     
     
    ,
     


    GI
     
     
  • (iii)
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IE
     
     
  • (iv)
     


    JE
     
     
    ,
     


    JF
     
     
    ,
     


    JG
     
     
    ,
     


    JH
     
     
    ,
     


    JI
     
     
  • (v)
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IE
     
     
Question 23
23.
    • The major sector of the circle is
  • (i)
    BDC
  • (ii)
    GBECG
  • (iii)
    BDCFB
  • (iv)
    BEC
  • (v)
    GBDCG
Question 24
24.
The distance around the circle is called
  • (i)
    radius
  • (ii)
    circumference
  • (iii)
    diameter
  • (iv)
    chord
  • (v)
    arc
Question 25
25.
A chord of a circle divides the whole circular region into two parts, each called a
  • (i)
    major segment
  • (ii)
    centre
  • (iii)
    segment
  • (iv)
    radius
  • (v)
    semi-circle
    Assignment Key

  •  1) (iii)
  •  2) (iv)
  •  3) (v)
  •  4) (ii)
  •  5) (iii)
  •  6) (v)
  •  7) (v)
  •  8) (iv)
  •  9) (iv)
  •  10) (i)
  •  11) (ii)
  •  12) (ii)
  •  13) (v)
  •  14) (v)
  •  15) (v)
  •  16) (iii)
  •  17) (ii)
  •  18) (iii)
  •  19) (ii)
  •  20) (iii)
  •  21) (i)
  •  22) (iii)
  •  23) (ii)
  •  24) (ii)
  •  25) (iii)