EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Circle
Grade : ICSE Grade VI
License : Non Commercial Use
Question 1
1.
Which of the following figures represent a secant ?
  • (i)
    fig V
  • (ii)
    fig II
  • (iii)
    fig I
  • (iv)
    fig III
  • (v)
    fig IV
Question 2
2.
The segment of the circle containing the centre of the circle is called
  • (i)
    major segment
  • (ii)
    semi-circle
  • (iii)
    segment
  • (iv)
    circumference
  • (v)
    centre
Question 3
3.
The perimeter of a circle is called
  • (i)
    chord
  • (ii)
    radius
  • (iii)
    circumference
  • (iv)
    centre
  • (v)
    diameter
Question 4
4.
    • The major arc of the circle is
  • (i)
    HCFDH
  • (ii)
    CFD
  • (iii)
    CEDGC
  • (iv)
    HCEDH
  • (v)
    CED
Question 5
5.
    • The major segment of the circle is
  • (i)
    OJLKO
  • (ii)
    JMK
  • (iii)
    JMKNJ
  • (iv)
    OJMKO
  • (v)
    JLKNJ
Question 6
6.
The mid-point of the diameter of a circle is called
  • (i)
    centre
  • (ii)
    semi-circle
  • (iii)
    major segment
  • (iv)
    diameter
  • (v)
    segment
Question 7
7.
    • The radii of the circle are
  • (i)
     


    PK
     
     
    ,
     


    PL
     
     
    ,
     


    PM
     
     
    ,
     


    PN
     
     
    ,
     


    PO
     
     
  • (ii)
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NO
     
     
    ,
     


    OK
     
     
    ,
     


    PN
     
     
  • (iii)
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NO
     
     
    ,
     


    OK
     
     
    ,
     


    MO
     
     
  • (iv)
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NO
     
     
    ,
     


    OK
     
     
  • (v)
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NO
     
     
    ,
     


    OK
     
     
Question 8
8.
A chord of a circle divides the whole circular region into two parts, each called a
  • (i)
    segment
  • (ii)
    circumference
  • (iii)
    semi-circle
  • (iv)
    chord
  • (v)
    diameter
Question 9
9.
    • The minor sector of the circle is
  • (i)
    EHF
  • (ii)
    JEGFJ
  • (iii)
    JEHFJ
  • (iv)
    EGF
  • (v)
    EHFIE
Question 10
10.
Which of the following statements are true?
a)
A secant of a circle is a segment having its end points on the circle.
b)
Every circle has a unique diameter.
c)
One and only one tangent can be drawn to a circle from a point outside it.
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 pass through a point on a circle.
  • (i)
    {a,d}
  • (ii)
    {d,e}
  • (iii)
    {c,a,d}
  • (iv)
    {b,e}
  • (v)
    {b,e,d}
Question 11
11.
    • The minor segment of the circle is
  • (i)
    FADBF
  • (ii)
    ACB
  • (iii)
    ACBEA
  • (iv)
    ADBEA
  • (v)
    FACBF
Question 12
12.
Which of the following figures represent a chord ?
  • (i)
    fig I
  • (ii)
    fig V
  • (iii)
    fig IV
  • (iv)
    fig III
  • (v)
    fig II
Question 13
13.
The distance around the circle is called
  • (i)
    chord
  • (ii)
    arc
  • (iii)
    diameter
  • (iv)
    circumference
  • (v)
    radius
Question 14
14.
Half of a circle is called
  • (i)
    centre
  • (ii)
    chord
  • (iii)
    radius
  • (iv)
    diameter
  • (v)
    semi-circle
Question 15
15.
Which of the following statements are true?
a)
Two semi-circles of a circle together make the whole circle.
b)
Every circle has a unique diameter.
c)
An infinite number of diameters may be drawn for a circle.
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)
    {b,d,e}
  • (ii)
    {b,a}
  • (iii)
    {a,c,e}
  • (iv)
    {d,c}
  • (v)
    {b,a,c}
Question 16
16.
If the radius of a circle is 84 cm, what is its diameter?
  • (i)
    166 cm
  • (ii)
    168 cm
  • (iii)
    170 cm
  • (iv)
    169 cm
  • (v)
    167 cm
Question 17
17.
    • The diameters of the circle are
  • (i)
     


    HJ
     
     
  • (ii)
     


    KF
     
     
    ,
     


    KG
     
     
    ,
     


    KH
     
     
    ,
     


    KI
     
     
    ,
     


    KJ
     
     
    ,
     


    HJ
     
     
  • (iii)
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JF
     
     
    ,
     


    HJ
     
     
  • (iv)
     


    KF
     
     
    ,
     


    KG
     
     
    ,
     


    KH
     
     
    ,
     


    KI
     
     
    ,
     


    KJ
     
     
  • (v)
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JF
     
     
Question 18
18.
    • The major sector of the circle is
  • (i)
    KNL
  • (ii)
    PKMLP
  • (iii)
    PKNLP
  • (iv)
    KMLOK
  • (v)
    KNLOK
Question 19
19.
A chord that passes through the centre of the circle is called
  • (i)
    major segment
  • (ii)
    segment
  • (iii)
    diameter
  • (iv)
    semi-circle
  • (v)
    circumference
Question 20
20.
Which of the following figures represent a diameter ?
  • (i)
    fig III
  • (ii)
    fig II
  • (iii)
    fig V
  • (iv)
    fig I
  • (v)
    fig IV
Question 21
21.
    • The chords of the circle are
  • (i)
     


    NI
     
     
    ,
     


    NJ
     
     
    ,
     


    NK
     
     
    ,
     


    NL
     
     
    ,
     


    NM
     
     
  • (ii)
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MI
     
     
  • (iii)
     


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MI
     
     
  • (iv)
     


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MI
     
     
    ,
     


    NL
     
     
  • (v)
     


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MI
     
     
    ,
     


    KM
     
     
Question 22
22.
Which of the following figures represent a tangent ?
  • (i)
    fig III
  • (ii)
    fig I
  • (iii)
    fig IV
  • (iv)
    fig II
  • (v)
    fig V
Question 23
23.
Which of the following statements are true?
a)
A circle consists of an infinite number of points.
b)
Every circle has a unique centre.
c)
A line can meet a circle atmost at two points.
d)
Every circle has a unique diameter.
e)
Each radius of a circle is also a chord of the circle.
  • (i)
    {d,e,c}
  • (ii)
    {d,a}
  • (iii)
    {a,b,c}
  • (iv)
    {e,b}
  • (v)
    {d,a,b}
Question 24
24.
    • The minor arc of the circle is
  • (i)
    KMLOK
  • (ii)
    PKMLP
  • (iii)
    KML
  • (iv)
    KNLOK
  • (v)
    PKNLP
Question 25
25.
    • The centre of the circle is
  • (i)
    H
  • (ii)
    I
  • (iii)
    L
  • (iv)
    F
  • (v)
    G
    Assignment Key

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