CBSE Board Practice

CBSE Grade X - Area Related to Circles
Question 1
1.
In the given figure, ABCD is a square of side 10.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • 322.71 sq.cm
  • 320.71 sq.cm
  • 347.71 sq.cm
  • 351.71 sq.cm
  • 335.71 sq.cm
Question 2
2.
In the given figure, BC = 12 cm and AB = 15 cm. Find the perimeter of the shaded region
  • 78.58 cm
  • 106.58 cm
  • 111.58 cm
  • 120.58 cm
  • 99.58 cm
Question 3
3.
If the radius of a circle is 12.00 cm and the area of a sector is 109.37 sq.cm, the length of the arc of the sector is
  • 18.23 cm
  • 13.23 cm
  • 21.23 cm
  • 23.23 cm
  • 15.23 cm
Question 4
4.
If circumference of the circle is 62.86 cm, the diameter of the circle is
  • 23.00 cm
  • 17.00 cm
  • 20.00 cm
  • 15.00 cm
  • 25.00 cm
Question 5
5.
In the given figure, the radius of the circle is 13 cm. Find the area of the major sector
  • 384.36 sq.cm
  • 381.36 sq.cm
  • 412.36 sq.cm
  • 398.36 sq.cm
  • 421.36 sq.cm
Question 6
6.
    • The chords of the circle are
  •  


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JF
     
     
  •  


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JF
     
     
    ,
     


    KF
     
     
  •  


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JF
     
     
    ,
     


    HJ
     
     
  •  


    FG
     
     
    ,
     


    GH
     
     
    ,
     


    HI
     
     
    ,
     


    IJ
     
     
    ,
     


    JF
     
     
  •  


    KF
     
     
    ,
     


    KG
     
     
    ,
     


    KH
     
     
    ,
     


    KI
     
     
    ,
     


    KJ
     
     
Question 7
7.
If diameter of the circle is 14.00 cm, the area of the circle is
  • 150.00 sq.cm
  • 157.00 sq.cm
  • 154.00 sq.cm
  • 132.00 sq.cm
  • 177.00 sq.cm
Question 8
8.
If the area of a sector of a circle is 86.43 sq.cm and the angle subtended at the center by the arc of the sector is 44.00°, the radius of the circle is
  • 18.00 cm
  • 20.00 cm
  • 10.00 cm
  • 12.00 cm
  • 15.00 cm
Question 9
9.
If the radius of a circle is 12.00 cm and the area of a sector is 172.23 sq.cm, the perimeter of the sector is
  • 49.71 cm
  • 55.71 cm
  • 57.71 cm
  • 52.71 cm
  • 47.71 cm
Question 10
10.
If the area of a sector of a circle is 51.33 sq.cm and the angle subtended at the center by the arc of the sector is 30.00°, the perimeter of the sector is
  • 32.33 cm
  • 38.33 cm
  • 30.33 cm
  • 35.33 cm
  • 40.33 cm