EduSahara™ Assignment
Name : Perimeter and Area of Circles
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
If radius of the circle is 10.00 cm, the area of the circle is
  • (i)
    326.29 sq.cm
  • (ii)
    312.29 sq.cm
  • (iii)
    338.29 sq.cm
  • (iv)
    314.29 sq.cm
  • (v)
    300.29 sq.cm
Question 2
2.
If radius of the circle is 7.00 cm, the area of the semicircle is
  • (i)
    77.00 sq.cm
  • (ii)
    82.00 sq.cm
  • (iii)
    72.00 sq.cm
  • (iv)
    74.00 sq.cm
  • (v)
    80.00 sq.cm
Question 3
3.
If radius of the circle is 7.00 cm, the perimeter of the semicircle is
  • (i)
    36.00 cm
  • (ii)
    33.00 cm
  • (iii)
    31.00 cm
  • (iv)
    41.00 cm
  • (v)
    39.00 cm
Question 4
4.
If diameter of the circle is 20.00 cm, the area of the circle is
  • (i)
    288.29 sq.cm
  • (ii)
    302.29 sq.cm
  • (iii)
    321.29 sq.cm
  • (iv)
    330.29 sq.cm
  • (v)
    314.29 sq.cm
Question 5
5.
If diameter of the circle is 20.00 cm, the area of the semicircle is
  • (i)
    133.14 sq.cm
  • (ii)
    174.14 sq.cm
  • (iii)
    153.14 sq.cm
  • (iv)
    175.14 sq.cm
  • (v)
    157.14 sq.cm
Question 6
6.
If diameter of the circle is 20.00 cm, the perimeter of the semicircle is
  • (i)
    51.43 cm
  • (ii)
    46.43 cm
  • (iii)
    48.43 cm
  • (iv)
    54.43 cm
  • (v)
    56.43 cm
Question 7
7.
If circumference of the circle is 62.86 cm, the area of the circle is
  • (i)
    291.29 sq.cm
  • (ii)
    326.29 sq.cm
  • (iii)
    314.29 sq.cm
  • (iv)
    311.29 sq.cm
Question 8
8.
If circumference of the circle is 37.71 cm, the area of the semicircle is
  • (i)
    61.57 sq.cm
  • (ii)
    56.57 sq.cm
  • (iii)
    59.57 sq.cm
  • (iv)
    53.57 sq.cm
  • (v)
    51.57 sq.cm
Question 9
9.
If circumference of the circle is 62.86 cm, the perimeter of the semicircle is
  • (i)
    56.43 cm
  • (ii)
    51.43 cm
  • (iii)
    54.43 cm
  • (iv)
    46.43 cm
  • (v)
    48.43 cm
Question 10
10.
If area of the circle is 113.14 sq.cm, the area of the semicircle is
  • (i)
    59.57 sq.cm
  • (ii)
    56.57 sq.cm
  • (iii)
    61.57 sq.cm
  • (iv)
    51.57 sq.cm
  • (v)
    53.57 sq.cm
Question 11
11.
If area of the circle is 314.29 sq.cm, the perimeter of the semicircle is
  • (i)
    48.43 cm
  • (ii)
    51.43 cm
  • (iii)
    54.43 cm
  • (iv)
    46.43 cm
  • (v)
    56.43 cm
Question 12
12.
In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 29 cm. Find the area of the shaded region
  • (i)
    130.90 sq.cm
  • (ii)
    170.90 sq.cm
  • (iii)
    121.90 sq.cm
  • (iv)
    161.90 sq.cm
  • (v)
    143.90 sq.cm
Question 13
13.
In the given figure, the circle circumscribes a rectangle with sides 20.00 cm and 19.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    217.93 sq.cm
  • (ii)
    204.93 sq.cm
  • (iii)
    243.93 sq.cm
  • (iv)
    231.93 sq.cm
  • (v)
    205.93 sq.cm
Question 14
14.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 16 and EB = 4.3 , find the area of the remaining portion
  • (i)
    89.26 sq.cm
  • (ii)
    94.26 sq.cm
  • (iii)
    86.26 sq.cm
  • (iv)
    92.26 sq.cm
  • (v)
    84.26 sq.cm
Question 15
15.
In the given figure, ABCD is a square of side 12.00 cm . At the centre there is a circle with radius 3.00 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • (i)
    90.43 sq.cm
  • (ii)
    87.43 sq.cm
  • (iii)
    92.43 sq.cm
  • (iv)
    84.43 sq.cm
  • (v)
    82.43 sq.cm
Question 16
16.
In the given figure, ABCD is a square of side 16.00 cm and A, B, C, D are the centres of circular arcs, each of radius 8.00 cm. Find the area of the shaded region
  • (i)
    49.86 sq.cm
  • (ii)
    51.86 sq.cm
  • (iii)
    57.86 sq.cm
  • (iv)
    54.86 sq.cm
  • (v)
    59.86 sq.cm
Question 17
17.
In the given figure, BC = 9 cm and AB = 14 cm. Find the perimeter of the shaded region
  • (i)
    96.95 cm
  • (ii)
    86.95 cm
  • (iii)
    91.95 cm
  • (iv)
    94.95 cm
  • (v)
    88.95 cm
Question 18
18.
In the given figure, d = 13.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    248.57 sq.cm
  • (ii)
    293.57 sq.cm
  • (iii)
    249.57 sq.cm
  • (iv)
    265.57 sq.cm
  • (v)
    273.57 sq.cm
Question 19
19.
Find the area of the shaded region
  • (i)
    39.00 sq.cm
  • (ii)
    42.00 sq.cm
  • (iii)
    45.00 sq.cm
  • (iv)
    37.00 sq.cm
  • (v)
    47.00 sq.cm
Question 20
20.
Find the area of the shaded region
  • (i)
    70.86 sq.cm
  • (ii)
    67.86 sq.cm
  • (iii)
    75.86 sq.cm
  • (iv)
    73.86 sq.cm
  • (v)
    65.86 sq.cm
Question 21
21.
In the given figure, arcs of two concentric circles of radii 10.00 cm and 3.00 cm are drawn with center O. If ∠BOC = 30°, find the area of the shaded region
  • (i)
    23.83 sq.cm
  • (ii)
    20.83 sq.cm
  • (iii)
    28.83 sq.cm
  • (iv)
    26.83 sq.cm
  • (v)
    18.83 sq.cm
Question 22
22.
In the given figure △ABC is an equilateral triangle whose area is 173.21 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
  • (i)
    11.06 sq.cm
  • (ii)
    19.06 sq.cm
  • (iii)
    13.06 sq.cm
  • (iv)
    21.06 sq.cm
  • (v)
    16.06 sq.cm
    Assignment Key

  •  1) (iv)
  •  2) (i)
  •  3) (i)
  •  4) (v)
  •  5) (v)
  •  6) (i)
  •  7) (iii)
  •  8) (ii)
  •  9) (ii)
  •  10) (ii)
  •  11) (ii)
  •  12) (v)
  •  13) (i)
  •  14) (i)
  •  15) (ii)
  •  16) (iv)
  •  17) (iii)
  •  18) (iv)
  •  19) (ii)
  •  20) (i)
  •  21) (i)
  •  22) (v)