EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Circle
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
The angle subtended by the diameter at any point on the circle is
  • (i)
    90°
  • (ii)
    105°
  • (iii)
    120°
  • (iv)
    95°
  • (v)
    100°
Question 2
2.
    • The centre of the circle is
  • (i)
    F
  • (ii)
    E
  • (iii)
    G
  • (iv)
    D
  • (v)
    I
Question 3
3.
    • The diameters of the circle are
  • (i)
     


    SL
     
     
    ,
     


    SM
     
     
    ,
     


    SN
     
     
    ,
     


    SO
     
     
    ,
     


    SP
     
     
    ,
     


    SQ
     
     
    ,
     


    SR
     
     
    ,
     


    PR
     
     
  • (ii)
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NO
     
     
    ,
     


    OP
     
     
    ,
     


    PQ
     
     
    ,
     


    QR
     
     
    ,
     


    RL
     
     
  • (iii)
     


    SL
     
     
    ,
     


    SM
     
     
    ,
     


    SN
     
     
    ,
     


    SO
     
     
    ,
     


    SP
     
     
    ,
     


    SQ
     
     
    ,
     


    SR
     
     
  • (iv)
     


    LM
     
     
    ,
     


    MN
     
     
    ,
     


    NO
     
     
    ,
     


    OP
     
     
    ,
     


    PQ
     
     
    ,
     


    QR
     
     
    ,
     


    RL
     
     
    ,
     


    PR
     
     
  • (v)
     


    PR
     
     
Question 4
4.
In triangle DEF, if a circle is drawn with EF as diameter and if it passes through D it is a
  • (i)
    equilateral triangle
  • (ii)
    right angle triangle
  • (iii)
    obtuse angled triangle
  • (iv)
    acute angled triangle
Question 5
5.
Find the points belonging to the inside of the circle
  • (i)
    {K,N}
  • (ii)
    {J,M}
  • (iii)
    {L,O}
  • (iv)
    {K,O}
  • (v)
    {N,M}
Question 6
6.
Half of a circle is called
  • (i)
    semi-circle
  • (ii)
    segment
  • (iii)
    chord
  • (iv)
    circumference
  • (v)
    major segment
Question 7
7.
A chord of a circle divides the whole circular region into two parts, each called a
  • (i)
    circumference
  • (ii)
    semi-circle
  • (iii)
    chord
  • (iv)
    segment
  • (v)
    diameter
Question 8
8.
Find the points belonging to the circle
  • (i)
    {S,U}
  • (ii)
    {Q,S}
  • (iii)
    {P,S}
  • (iv)
    {R,U}
  • (v)
    {Q,T}
Question 9
9.
    • The minor arc of the circle is
  • (i)
    DFE
  • (ii)
    DGE
  • (iii)
    DFEHD
  • (iv)
    DGEHD
  • (v)
    IDGEI
Question 10
10.
    • The chords of the circle are
  • (i)
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JF
     
     
  • (ii)
     


    KF
     
     
    ,
     


    KG
     
     
    ,
     


    KH
     
     
    ,
     


    KI
     
     
    ,
     


    KJ
     
     
  • (iii)
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JF
     
     
  • (iv)
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JF
     
     
    ,
     


    KF
     
     
  • (v)
     


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JF
     
     
    ,
     


    HJ
     
     
Question 11
11.
A line segment having its end points on the circle is called a
  • (i)
    chord
  • (ii)
    segment
  • (iii)
    centre
  • (iv)
    semi-circle
  • (v)
    major segment
Question 12
12.
In the given figure GI & HI are equal length chords of the circle. Find ∠IGH
  • (i)
    50°
  • (ii)
    45°
  • (iii)
    60°
  • (iv)
    75°
  • (v)
    55°
Question 13
13.
Two circles with equal radii are
  • (i)
    only similar but not congruent
  • (ii)
    concentric
  • (iii)
    congruent
  • (iv)
    not similar
Question 14
14.
Find the missing angle in the following figure?
  • (i)
    42°
  • (ii)
    72°
  • (iii)
    57°
  • (iv)
    47°
  • (v)
    52°
Question 15
15.
Find the points belonging to the outside of the circle
  • (i)
    {F,I,L}
  • (ii)
    {K,L,F}
  • (iii)
    {D,G,J}
  • (iv)
    {E,H,K}
  • (v)
    {I,G,F}
Question 16
16.
If the diameter of a circle is 126 cm, what is its radius?
  • (i)
    65 cm
  • (ii)
    64 cm
  • (iii)
    62 cm
  • (iv)
    63 cm
  • (v)
    61 cm
Question 17
17.
In the given triangle S is the circumcentre. If SH = 13.60 cm, find the circumference of the circumcircle
  • (i)
    83.5 cm
  • (ii)
    85.5 cm
  • (iii)
    86.5 cm
  • (iv)
    87.5 cm
  • (v)
    84.5 cm
Question 18
18.
    • '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)
    outside the circle
  • (ii)
    inside the circle
  • (iii)
    on the circle
Question 19
19.
    • The minor segment of the circle is
  • (i)
    DFE
  • (ii)
    DGEHD
  • (iii)
    IDGEI
  • (iv)
    DFEHD
  • (v)
    DGE
Question 20
20.
If the radius of a circle is 56 cm, what is its diameter?
  • (i)
    110 cm
  • (ii)
    114 cm
  • (iii)
    113 cm
  • (iv)
    111 cm
  • (v)
    112 cm
Question 21
21.
The segment of the circle containing the centre of the circle is called
  • (i)
    major segment
  • (ii)
    segment
  • (iii)
    radius
  • (iv)
    centre
  • (v)
    semi-circle
Question 22
22.
    • '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)
    outside the circle
  • (ii)
    on the circle
  • (iii)
    inside the circle
Question 23
23.
    • The major segment of the circle is
  • (i)
    DFE
  • (ii)
    DFEHD
  • (iii)
    DGEHD
  • (iv)
    IDGEI
  • (v)
    IDFEI
Question 24
24.
The perimeter of a circle is called
  • (i)
    diameter
  • (ii)
    circumference
  • (iii)
    chord
  • (iv)
    radius
  • (v)
    semi-circle
Question 25
25.
Which of the following figures represent a tangent ?
  • (i)
    fig III
  • (ii)
    fig V
  • (iii)
    fig I
  • (iv)
    fig IV
  • (v)
    fig II
    Assignment Key

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