CBSE Board Practice

CBSE Grade X - Area Related to Circles
Question 1
1.
If the length of the arc of a sector is 28.64 cm and the angle subtended at the center by the arc of the sector is 164.00°, the radius of the circle is
  • 7.00 cm
  • 15.00 cm
  • 10.00 cm
  • 13.00 cm
  • 5.00 cm
Question 2
2.
If the length of the arc of a sector is 14.67 cm and the perimeter of the circle is 62.86 cm, the area of the sector is
  • 78.33 sq.cm
  • 76.33 sq.cm
  • 70.33 sq.cm
  • 73.33 sq.cm
  • 68.33 sq.cm
Question 3
3.
If the radius of a circle is 10.00 cm and the area of a sector is 117.86 sq.cm, the length of the arc of the sector is
  • 23.57 cm
  • 20.57 cm
  • 28.57 cm
  • 18.57 cm
  • 26.57 cm
Question 4
4.
In the given figure ,PQRS is the diameter of the circle of radius 10.50 cm and PQ = QR = RS. Find the area of the shaded region
  • 99.50 sq.cm
  • 110.50 sq.cm
  • 138.50 sq.cm
  • 132.50 sq.cm
  • 115.50 sq.cm
Question 5
5.
If diameter of the circle is 20.00 cm, the radius of the circle is
  • 13.00 cm
  • 10.00 cm
  • 5.00 cm
  • 15.00 cm
  • 7.00 cm
Question 6
6.
In the given figure, ABCD is a square of side 8.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • 226.86 sq.cm
  • 231.86 sq.cm
  • 214.86 sq.cm
  • 199.86 sq.cm
  • 206.86 sq.cm
Question 7
7.
If area of the circle is 78.57 sq.cm, the area of the semicircle is
  • 34.29 sq.cm
  • 39.29 sq.cm
  • 42.29 sq.cm
  • 36.29 sq.cm
  • 44.29 sq.cm
Question 8
8.
If circumference of the circle is 31.43 cm, the perimeter of the semicircle is
  • 25.71 cm
  • 28.71 cm
  • 30.71 cm
  • 20.71 cm
  • 22.71 cm
Question 9
9.
If the area of a sector of a circle is 66.35 sq.cm and the length of the arc of the sector is 13.27 cm, the perimeter of the circle is
  • 59.86 cm
  • 57.86 cm
  • 65.86 cm
  • 67.86 cm
  • 62.86 cm
Question 10
10.
If the length of the arc of a sector is 31.85 cm and the angle subtended at the center by the arc of the sector is 152.00°, the area of the sector is
  • 208.09 sq.cm
  • 167.09 sq.cm
  • 203.09 sq.cm
  • 186.09 sq.cm
  • 191.09 sq.cm