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)
    314.29 sq.cm
  • (ii)
    298.29 sq.cm
  • (iii)
    296.29 sq.cm
  • (iv)
    327.29 sq.cm
  • (v)
    318.29 sq.cm
Question 2
2.
If radius of the circle is 9.00 cm, the area of the semicircle is
  • (i)
    127.29 sq.cm
  • (ii)
    152.29 sq.cm
  • (iii)
    109.29 sq.cm
  • (iv)
    110.29 sq.cm
  • (v)
    143.29 sq.cm
Question 3
3.
If radius of the circle is 8.00 cm, the perimeter of the semicircle is
  • (i)
    36.14 cm
  • (ii)
    38.14 cm
  • (iii)
    46.14 cm
  • (iv)
    41.14 cm
  • (v)
    44.14 cm
Question 4
4.
If diameter of the circle is 10.00 cm, the area of the circle is
  • (i)
    81.57 sq.cm
  • (ii)
    75.57 sq.cm
  • (iii)
    73.57 sq.cm
  • (iv)
    78.57 sq.cm
  • (v)
    83.57 sq.cm
Question 5
5.
If diameter of the circle is 16.00 cm, the area of the semicircle is
  • (i)
    86.57 sq.cm
  • (ii)
    117.57 sq.cm
  • (iii)
    100.57 sq.cm
  • (iv)
    82.57 sq.cm
  • (v)
    108.57 sq.cm
Question 6
6.
If diameter of the circle is 10.00 cm, the perimeter of the semicircle is
  • (i)
    22.71 cm
  • (ii)
    25.71 cm
  • (iii)
    20.71 cm
  • (iv)
    28.71 cm
  • (v)
    30.71 cm
Question 7
7.
If circumference of the circle is 50.29 cm, the area of the circle is
  • (i)
    201.14 sq.cm
  • (ii)
    205.14 sq.cm
  • (iii)
    174.14 sq.cm
  • (iv)
    223.14 sq.cm
  • (v)
    194.14 sq.cm
Question 8
8.
If circumference of the circle is 31.43 cm, the area of the semicircle is
  • (i)
    36.29 sq.cm
  • (ii)
    44.29 sq.cm
  • (iii)
    39.29 sq.cm
  • (iv)
    42.29 sq.cm
  • (v)
    34.29 sq.cm
Question 9
9.
If circumference of the circle is 50.29 cm, the perimeter of the semicircle is
  • (i)
    38.14 cm
  • (ii)
    46.14 cm
  • (iii)
    41.14 cm
  • (iv)
    36.14 cm
  • (v)
    44.14 cm
Question 10
10.
If area of the circle is 154.00 sq.cm, the area of the semicircle is
  • (i)
    82.00 sq.cm
  • (ii)
    74.00 sq.cm
  • (iii)
    80.00 sq.cm
  • (iv)
    77.00 sq.cm
  • (v)
    72.00 sq.cm
Question 11
11.
If area of the circle is 254.57 sq.cm, the perimeter of the semicircle is
  • (i)
    41.29 cm
  • (ii)
    46.29 cm
  • (iii)
    51.29 cm
  • (iv)
    49.29 cm
  • (v)
    43.29 cm
Question 12
12.
In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 20 cm. Find the area of the shaded region
  • (i)
    71.44 sq.cm
  • (ii)
    63.44 sq.cm
  • (iii)
    68.44 sq.cm
  • (iv)
    65.44 sq.cm
  • (v)
    73.44 sq.cm
Question 13
13.
In the given figure, the circle circumscribes a rectangle with sides 20.00 cm and 15.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    179.07 sq.cm
  • (ii)
    164.07 sq.cm
  • (iii)
    219.07 sq.cm
  • (iv)
    191.07 sq.cm
  • (v)
    207.07 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 = 15 and EB = 5.2 , find the area of the remaining portion
  • (i)
    92.22 sq.cm
  • (ii)
    90.22 sq.cm
  • (iii)
    84.22 sq.cm
  • (iv)
    87.22 sq.cm
  • (v)
    82.22 sq.cm
Question 15
15.
In the given figure, ABCD is a square of side 10.00 cm . At the centre there is a circle with radius 2.50 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • (i)
    57.71 sq.cm
  • (ii)
    55.71 sq.cm
  • (iii)
    60.71 sq.cm
  • (iv)
    65.71 sq.cm
  • (v)
    63.71 sq.cm
Question 16
16.
In the given figure, ABCD is a square of side 15.00 cm and A, B, C, D are the centres of circular arcs, each of radius 7.50 cm. Find the area of the shaded region
  • (i)
    43.21 sq.cm
  • (ii)
    51.21 sq.cm
  • (iii)
    45.21 sq.cm
  • (iv)
    53.21 sq.cm
  • (v)
    48.21 sq.cm
Question 17
17.
In the given figure, BC = 15 cm and AB = 8 cm. Find the perimeter of the shaded region
  • (i)
    88.43 cm
  • (ii)
    98.43 cm
  • (iii)
    93.43 cm
  • (iv)
    96.43 cm
  • (v)
    90.43 cm
Question 18
18.
In the given figure, d = 12.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    239.29 sq.cm
  • (ii)
    203.29 sq.cm
  • (iii)
    226.29 sq.cm
  • (iv)
    232.29 sq.cm
  • (v)
    218.29 sq.cm
Question 19
19.
Find the area of the shaded region
  • (i)
    22.93 sq.cm
  • (ii)
    28.93 sq.cm
  • (iii)
    30.93 sq.cm
  • (iv)
    25.93 sq.cm
  • (v)
    20.93 sq.cm
Question 20
20.
Find the area of the shaded region
  • (i)
    146.21 sq.cm
  • (ii)
    110.21 sq.cm
  • (iii)
    108.21 sq.cm
  • (iv)
    141.21 sq.cm
  • (v)
    123.21 sq.cm
Question 21
21.
In the given figure, arcs of two concentric circles of radii 17.00 cm and 5.10 cm are drawn with center O. If ∠HOI = 70°, find the area of the shaded region
  • (i)
    160.72 sq.cm
  • (ii)
    142.72 sq.cm
  • (iii)
    183.72 sq.cm
  • (iv)
    147.72 sq.cm
  • (v)
    164.72 sq.cm
Question 22
22.
In the given figure △ABC is an equilateral triangle whose area is 97.43 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)
    10.04 sq.cm
  • (ii)
    9.04 sq.cm
  • (iii)
    7.04 sq.cm
  • (iv)
    11.04 sq.cm
  • (v)
    8.04 sq.cm
    Assignment Key

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