CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Area Related to Circles
Question 1
1.
In the given figure, ABCD is a square of side 13.00 cm . At the centre there is a circle with radius 3.25 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.
  • 61.86 cm
  • 69.86 cm
  • 63.86 cm
  • 66.86 cm
  • 71.86 cm
Question 2
2.
If diameter of the circle is 10.00 cm, the area of the semicircle is
  • 44.29 sq.cm
  • 36.29 sq.cm
  • 42.29 sq.cm
  • 34.29 sq.cm
  • 39.29 sq.cm
Question 3
3.
If the length of the arc of a sector is 25.91 cm and the perimeter of the circle is 88.00 cm, the angle subtended at the center by the arc of the sector is
  • 82.00°
  • 132.00°
  • 106.00°
  • 101.00°
  • 109.00°
Question 4
4.
If the area of a sector of a circle is 83.45 sq.cm and the length of the arc of the sector is 15.17 cm, the perimeter of the circle is
  • 72.14 cm
  • 66.14 cm
  • 64.14 cm
  • 74.14 cm
  • 69.14 cm
Question 5
5.
If the length of the arc of a sector is 23.05 cm and the area of the circle is 380.29 sq.cm, the perimeter of the circle is
  • 69.14 cm
  • 64.14 cm
  • 72.14 cm
  • 74.14 cm
  • 66.14 cm
Question 6
6.
If the area of a sector of a circle is 76.06 sq.cm and the length of the arc of the sector is 13.83 cm, the perimeter of the sector is
  • 40.83 cm
  • 38.83 cm
  • 30.83 cm
  • 35.83 cm
  • 32.83 cm
Question 7
7.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 11.94 cm, the area of the sector is
  • 71.66 sq.cm
  • 76.66 sq.cm
  • 74.66 sq.cm
  • 68.66 sq.cm
  • 66.66 sq.cm
Question 8
8.
If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 50.00°, the area of the sector is
  • 59.86 sq.cm
  • 67.86 sq.cm
  • 65.86 sq.cm
  • 57.86 sq.cm
  • 62.86 sq.cm
Question 9
9.
If the area of a sector of a circle is 114.09 sq.cm and the area of the circle is 380.29 sq.cm, the perimeter of the sector is
  • 42.74 cm
  • 47.74 cm
  • 37.74 cm
  • 45.74 cm
  • 39.74 cm
Question 10
10.
The given figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii. The radius of each big semi-circle is 12.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
  • 468.57 sq.cm
  • 452.57 sq.cm
  • 446.57 sq.cm
  • 474.57 sq.cm
  • 437.57 sq.cm