EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Circle
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
An arc subtends 90° in its alternate segment. The arc is
  • (i)
    minor arc
  • (ii)
    major segment
  • (iii)
    major arc
  • (iv)
    minor segment
  • (v)
    semi-circle
Question 2
2.
    • '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 3
3.
    • The chords of the circle are
  • (i)
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
  • (ii)
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
  • (iii)
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
    ,
     


    LN
     
     
  • (iv)
     


    OJ
     
     
    ,
     


    OK
     
     
    ,
     


    OL
     
     
    ,
     


    OM
     
     
    ,
     


    ON
     
     
  • (v)
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NJ
     
     
    ,
     


    OM
     
     
Question 4
4.
O is the centre of the circle. If ∠HJI = 59° and ∠JHK = 33°, find u°, v°
  • (i)
    87°, 51°
  • (ii)
    31°, 57°
  • (iii)
    67°, 41°
  • (iv)
    57°, 31°
  • (v)
    47°, 31°
Question 5
5.
Which of the following figures represent a tangent ?
  • (i)
    fig II
  • (ii)
    fig IV
  • (iii)
    fig III
  • (iv)
    fig I
  • (v)
    fig V
Question 6
6.
    • The major arc of the circle is
  • (i)
    ILJ
  • (ii)
    NILJN
  • (iii)
    ILJMI
  • (iv)
    NIKJN
  • (v)
    IKJ
Question 7
7.
Find the points belonging to the outside of the circle
  • (i)
    {D,G}
  • (ii)
    {F,D}
  • (iii)
    {G,E}
  • (iv)
    {C,F}
  • (v)
    {B,E}
Question 8
8.
The distance around the circle is called
  • (i)
    diameter
  • (ii)
    chord
  • (iii)
    circumference
  • (iv)
    radius
  • (v)
    arc
Question 9
9.
Which of the following figures represent a diameter ?
  • (i)
    fig I
  • (ii)
    fig IV
  • (iii)
    fig II
  • (iv)
    fig V
  • (v)
    fig III
Question 10
10.
    • The diameters of the circle are
  • (i)
     


    FH
     
     
  • (ii)
     


    ID
     
     
    ,
     


    IE
     
     
    ,
     


    IF
     
     
    ,
     


    IG
     
     
    ,
     


    IH
     
     
    ,
     


    FH
     
     
  • (iii)
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HD
     
     
    ,
     


    FH
     
     
  • (iv)
     


    DE
     
     
    ,
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HD
     
     
  • (v)
     


    ID
     
     
    ,
     


    IE
     
     
    ,
     


    IF
     
     
    ,
     


    IG
     
     
    ,
     


    IH
     
     
Question 11
11.
    • The minor arc of the circle is
  • (i)
    BECFB
  • (ii)
    BEC
  • (iii)
    GBECG
  • (iv)
    BDC
  • (v)
    GBDCG
Question 12
12.
    • The minor sector of the circle is
  • (i)
    BECFB
  • (ii)
    GBDCG
  • (iii)
    BDC
  • (iv)
    BEC
  • (v)
    BDCFB
Question 13
13.
    • The minor segment of the circle is
  • (i)
    EGFIE
  • (ii)
    EGF
  • (iii)
    EHF
  • (iv)
    JEGFJ
  • (v)
    JEHFJ
Question 14
14.
Find the points belonging to the inside of the circle
  • (i)
    {B,E,H}
  • (ii)
    {C,J,I}
  • (iii)
    {C,F,I}
  • (iv)
    {D,G,J}
  • (v)
    {I,F,E}
Question 15
15.
O is the centre of the circle and OH = GH. Find ∠GOH
  • (i)
    75°
  • (ii)
    70°
  • (iii)
    60°
  • (iv)
    65°
  • (v)
    90°
Question 16
16.
    • The major sector of the circle is
  • (i)
    GIHKG
  • (ii)
    GJH
  • (iii)
    LGJHL
  • (iv)
    GIH
  • (v)
    LGIHL
Question 17
17.
Which of the following figures represent a chord ?
  • (i)
    fig IV
  • (ii)
    fig III
  • (iii)
    fig V
  • (iv)
    fig II
  • (v)
    fig I
Question 18
18.
A line segment joining any point on the circle with its centre is called
  • (i)
    radius
  • (ii)
    major segment
  • (iii)
    circumference
  • (iv)
    diameter
  • (v)
    segment
Question 19
19.
If the radius of a circle is 70 cm, what is its diameter?
  • (i)
    138 cm
  • (ii)
    142 cm
  • (iii)
    141 cm
  • (iv)
    139 cm
  • (v)
    140 cm
Question 20
20.
O is the centre of the circle and OH = GH. Find ∠HOF
  • (i)
    150°
  • (ii)
    135°
  • (iii)
    120°
  • (iv)
    125°
  • (v)
    130°
Question 21
21.
    • The radii of the circle are
  • (i)
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IE
     
     
    ,
     


    GI
     
     
  • (ii)
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IE
     
     
  • (iii)
     


    JE
     
     
    ,
     


    JF
     
     
    ,
     


    JG
     
     
    ,
     


    JH
     
     
    ,
     


    JI
     
     
  • (iv)
     


    EF
     
     
    ,
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IE
     
     
    ,
     


    JE
     
     
  • (v)
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IE
     
     
Question 22
22.
Half of a circle is called
  • (i)
    radius
  • (ii)
    chord
  • (iii)
    major segment
  • (iv)
    circumference
  • (v)
    semi-circle
Question 23
23.
A line segment having its end points on the circle is called a
  • (i)
    semi-circle
  • (ii)
    diameter
  • (iii)
    chord
  • (iv)
    centre
  • (v)
    segment
Question 24
24.
The perimeter of a circle is called
  • (i)
    diameter
  • (ii)
    radius
  • (iii)
    semi-circle
  • (iv)
    segment
  • (v)
    circumference
Question 25
25.
The segment of the circle containing the centre of the circle is called
  • (i)
    major segment
  • (ii)
    centre
  • (iii)
    radius
  • (iv)
    diameter
  • (v)
    segment
    Assignment Key

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