ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Circumference and Area of a Circle
Question 1
1.
If the area of a sector of a circle is 268.64 sq.cm and the area of the circle is 616.00 sq.cm, the radius of the circle is
  • 9.00 cm
  • 11.00 cm
  • 17.00 cm
  • 14.00 cm
  • 19.00 cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 19.00 cm and 14.00 cm. Find the area of the remaining portion other than the rectangle
  • 171.64 sq.cm
  • 179.64 sq.cm
  • 155.64 sq.cm
  • 196.64 sq.cm
Question 3
3.
In the given figure, ABCD is a square of side 20.00 cm . At the centre there is a circle with radius 5.00 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • 225.86 sq.cm
  • 228.86 sq.cm
  • 257.86 sq.cm
  • 242.86 sq.cm
  • 259.86 sq.cm
Question 4
4.
The given figure consists of two quarter circles each of radius 16.00 cm and four semi-circles each of radius 8.00 cm. Find the area of the shaded region
  • 402.29 sq.cm
  • 409.29 sq.cm
  • 399.29 sq.cm
  • 418.29 sq.cm
  • 388.29 sq.cm
Question 5
5.
If the inner and outer radii of a ring are 5.00 cm and 8.00 cm respectively, the outer circle area is
  • 217.14 sq.cm
  • 187.14 sq.cm
  • 176.14 sq.cm
  • 229.14 sq.cm
  • 201.14 sq.cm
Question 6
6.
If the area of a sector of a circle is 129.21 sq.cm and the angle subtended at the center by the arc of the sector is 148.00°, the length of the arc of the sector is
  • 22.84 cm
  • 20.84 cm
  • 30.84 cm
  • 25.84 cm
  • 28.84 cm
Question 7
7.
If the length of the arc of a sector is 10.48 cm and the angle subtended at the center by the arc of the sector is 60.00°, the radius of the circle is
  • 5.00 cm
  • 13.00 cm
  • 10.00 cm
  • 15.00 cm
  • 7.00 cm
Question 8
8.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 62.32 cm, the length of the arc of the sector is
  • 33.32 cm
  • 36.32 cm
  • 39.32 cm
  • 41.32 cm
  • 31.32 cm
Question 9
9.
If the length of the arc of a sector is 35.10 cm and the area of the circle is 707.14 sq.cm, the area of the sector is
  • 268.21 sq.cm
  • 280.21 sq.cm
  • 263.21 sq.cm
  • 250.21 sq.cm
  • 259.21 sq.cm
Question 10
10.
In the below figure, BCPQ is a quadrant of a circle. BC = 17.00 cm and AB = 14 cm . Find the area of the shaded region
  • 123.07 sq.cm
  • 108.07 sq.cm
  • 94.07 sq.cm
  • 125.07 sq.cm