CBSE Board Practice

CBSE Grade X - Area Related to Circles
Question 1
1.
    • The major sector of the circle is
  • DFE
  • DGEHD
  • IDGEI
  • DGE
  • DFEHD
Question 2
2.
If the area of a sector of a circle is 136.89 sq.cm and the area of the circle is 616.00 sq.cm, the length of the arc of the sector is
  • 16.56 cm
  • 14.56 cm
  • 22.56 cm
  • 19.56 cm
  • 24.56 cm
Question 3
3.
If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 31.00°, the area of the sector is
  • 38.97 sq.cm
  • 33.97 sq.cm
  • 41.97 sq.cm
  • 35.97 sq.cm
  • 43.97 sq.cm
Question 4
4.
In the given figure, arcs of two concentric circles of radii 10.00 cm and 3.00 cm are drawn with center O. If ∠FOG = 80°, find the area of the shaded region
  • 58.56 sq.cm
  • 68.56 sq.cm
  • 60.56 sq.cm
  • 66.56 sq.cm
  • 63.56 sq.cm
Question 5
5.
If area of the circle is 113.14 sq.cm, the circumference of the circle is
  • 34.71 cm
  • 32.71 cm
  • 42.71 cm
  • 37.71 cm
  • 40.71 cm
Question 6
6.
If the length of the arc of a sector is 27.24 cm and the angle subtended at the center by the arc of the sector is 156.00°, the perimeter of the circle is
  • 62.86 cm
  • 65.86 cm
  • 59.86 cm
  • 67.86 cm
  • 57.86 cm
Question 7
7.
If diameter of the circle is 18.00 cm, the perimeter of the semicircle is
  • 51.29 cm
  • 46.29 cm
  • 41.29 cm
  • 49.29 cm
  • 43.29 cm
Question 8
8.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 40.05 cm, the length of the arc of the sector is
  • 21.05 cm
  • 13.05 cm
  • 18.05 cm
  • 23.05 cm
  • 15.05 cm
Question 9
9.
If the length of the arc of a sector is 19.64 cm and the angle subtended at the center by the arc of the sector is 75.00°, the area of the circle is
  • 709.14 sq.cm
  • 730.14 sq.cm
  • 692.14 sq.cm
  • 690.14 sq.cm
  • 707.14 sq.cm
Question 10
10.
In the given figure, ABCD is a square of side 15.00 cm . At the centre there is a circle with radius 3.75 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • 148.61 sq.cm
  • 136.61 sq.cm
  • 120.61 sq.cm
  • 143.61 sq.cm
  • 123.61 sq.cm