ICSE Board Practice

ICSE Grade X - Circumference and Area of a Circle
Question 1
1.
In the given figure, ABCD is a square of side 14.00 cm and A, B, C, D are the centres of circular arcs, each of radius 7.00 cm. Find the area of the shaded region
  • 45.00 sq.cm
  • 37.00 sq.cm
  • 47.00 sq.cm
  • 39.00 sq.cm
  • 42.00 sq.cm
Question 2
2.
If the area of a sector of a circle is 27.06 sq.cm and the angle subtended at the center by the arc of the sector is 31.00°, the perimeter of the circle is
  • 59.86 cm
  • 62.86 cm
  • 57.86 cm
  • 65.86 cm
  • 67.86 cm
Question 3
3.
If the width of the ring is 1.00 cm and inner radius is 8.00 cm, the inner circle area is
  • 216.14 sq.cm
  • 173.14 sq.cm
  • 214.14 sq.cm
  • 194.14 sq.cm
  • 201.14 sq.cm
Question 4
4.
If the area of the inner circle of the ring is 113.14 sq.cm and area of outer circle is 254.57 sq.cm, the inner circle area is
  • 138.14 sq.cm
  • 109.14 sq.cm
  • 85.14 sq.cm
  • 113.14 sq.cm
  • 121.14 sq.cm
Question 5
5.
If the area of a sector of a circle is 36.97 sq.cm and the length of the arc of the sector is 6.72 cm, the area of the circle is
  • 396.29 sq.cm
  • 358.29 sq.cm
  • 380.29 sq.cm
  • 398.29 sq.cm
  • 375.29 sq.cm
Question 6
6.
If diameter of the circle is 12.00 cm, the area of the semicircle is
  • 61.57 sq.cm
  • 56.57 sq.cm
  • 53.57 sq.cm
  • 51.57 sq.cm
  • 59.57 sq.cm
Question 7
7.
In the given figure △ABC is an equilateral triangle whose area is 110.85 sq.cm. With each vertex of the triangle as center, a circle is drawn with radius equal to half the length of the side of the triangle . Find the area of the shaded region
  • 15.28 sq.cm
  • 13.28 sq.cm
  • 7.28 sq.cm
  • 5.28 sq.cm
  • 10.28 sq.cm
Question 8
8.
Find the area of the shaded region
  • 91.36 sq.cm
  • 96.36 sq.cm
  • 99.36 sq.cm
  • 101.36 sq.cm
  • 93.36 sq.cm
Question 9
9.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 38.12 cm, the perimeter of the circle is
  • 97.29 cm
  • 99.29 cm
  • 89.29 cm
  • 91.29 cm
  • 94.29 cm
Question 10
10.
If the width of the ring is 1.00 cm and inner radius is 5.00 cm, the outer circle area is
  • 113.14 sq.cm
  • 108.14 sq.cm
  • 131.14 sq.cm
  • 119.14 sq.cm
  • 100.14 sq.cm