ICSE Board Practice

ICSE Grade X - Circumference and Area of a Circle
Question 1
1.
If the area of a sector of a circle is 304.46 sq.cm and the area of the circle is 707.14 sq.cm, the angle subtended at the center by the arc of the sector is
  • 171.00°
  • 159.00°
  • 155.00°
  • 138.00°
Question 2
2.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 43.57 cm, the area of the sector is
  • 145.86 sq.cm
  • 125.86 sq.cm
  • 117.86 sq.cm
  • 92.86 sq.cm
  • 114.86 sq.cm
Question 3
3.
If the length of the arc of a sector is 27.24 cm and the area of the circle is 707.14 sq.cm, the perimeter of the sector is
  • 52.24 cm
  • 54.24 cm
  • 60.24 cm
  • 57.24 cm
  • 62.24 cm
Question 4
4.
If the area of a sector of a circle is 133.57 sq.cm and the length of the arc of the sector is 26.72 cm, the perimeter of the sector is
  • 49.72 cm
  • 51.72 cm
  • 41.72 cm
  • 43.72 cm
  • 46.72 cm
Question 5
5.
In the given figure, the width of the circular path is 8.00 m. Find the area of the shaded region
  • 974.86 sq.m
  • 982.86 sq.m
  • 996.86 sq.m
  • 970.86 sq.m
Question 6
6.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 32.80 cm, the perimeter of the circle is
  • 78.43 cm
  • 72.43 cm
  • 80.43 cm
  • 70.43 cm
  • 75.43 cm
Question 7
7.
If the area of the inner circle of the ring is 201.14 sq.cm and area of outer circle is 314.29 sq.cm, the outer circle radius is
  • 10.00 cm
  • 13.00 cm
  • 5.00 cm
  • 15.00 cm
  • 7.00 cm
Question 8
8.
If the width of the ring is 1.00 cm and outer radius is 9.00 cm, the inner circle area is
  • 184.14 sq.cm
  • 219.14 sq.cm
  • 201.14 sq.cm
  • 185.14 sq.cm
  • 226.14 sq.cm
Question 9
9.
If the area of a sector of a circle is 88.18 sq.cm and the area of the circle is 314.29 sq.cm, the length of the arc of the sector is
  • 20.64 cm
  • 14.64 cm
  • 22.64 cm
  • 17.64 cm
  • 12.64 cm
Question 10
10.
In the given figure ,PQRS is the diameter of the circle of radius 6.00 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • 40.71 cm
  • 32.71 cm
  • 42.71 cm
  • 37.71 cm
  • 34.71 cm