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)
    328.29 sq.cm
  • (ii)
    327.29 sq.cm
  • (iii)
    299.29 sq.cm
  • (iv)
    314.29 sq.cm
  • (v)
    302.29 sq.cm
Question 2
2.
If radius of the circle is 5.00 cm, the area of the semicircle is
  • (i)
    36.29 sq.cm
  • (ii)
    42.29 sq.cm
  • (iii)
    44.29 sq.cm
  • (iv)
    39.29 sq.cm
  • (v)
    34.29 sq.cm
Question 3
3.
If radius of the circle is 5.00 cm, the perimeter of the semicircle is
  • (i)
    20.71 cm
  • (ii)
    25.71 cm
  • (iii)
    22.71 cm
  • (iv)
    30.71 cm
  • (v)
    28.71 cm
Question 4
4.
If diameter of the circle is 10.00 cm, the area of the circle is
  • (i)
    78.57 sq.cm
  • (ii)
    81.57 sq.cm
  • (iii)
    75.57 sq.cm
  • (iv)
    83.57 sq.cm
  • (v)
    73.57 sq.cm
Question 5
5.
If diameter of the circle is 10.00 cm, the area of the semicircle is
  • (i)
    44.29 sq.cm
  • (ii)
    36.29 sq.cm
  • (iii)
    39.29 sq.cm
  • (iv)
    42.29 sq.cm
  • (v)
    34.29 sq.cm
Question 6
6.
If diameter of the circle is 12.00 cm, the perimeter of the semicircle is
  • (i)
    30.86 cm
  • (ii)
    35.86 cm
  • (iii)
    25.86 cm
  • (iv)
    27.86 cm
  • (v)
    33.86 cm
Question 7
7.
If circumference of the circle is 37.71 cm, the area of the circle is
  • (i)
    113.14 sq.cm
  • (ii)
    137.14 sq.cm
  • (iii)
    115.14 sq.cm
  • (iv)
    90.14 sq.cm
  • (v)
    109.14 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)
    34.29 sq.cm
  • (iii)
    42.29 sq.cm
  • (iv)
    44.29 sq.cm
  • (v)
    39.29 sq.cm
Question 9
9.
If circumference of the circle is 56.57 cm, the perimeter of the semicircle is
  • (i)
    41.29 cm
  • (ii)
    51.29 cm
  • (iii)
    46.29 cm
  • (iv)
    49.29 cm
  • (v)
    43.29 cm
Question 10
10.
If area of the circle is 201.14 sq.cm, the area of the semicircle is
  • (i)
    96.57 sq.cm
  • (ii)
    128.57 sq.cm
  • (iii)
    100.57 sq.cm
  • (iv)
    107.57 sq.cm
  • (v)
    78.57 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)
    51.29 cm
  • (iii)
    49.29 cm
  • (iv)
    43.29 cm
  • (v)
    46.29 cm
Question 12
12.
In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 26 cm. Find the area of the shaded region
  • (i)
    115.67 sq.cm
  • (ii)
    133.67 sq.cm
  • (iii)
    109.67 sq.cm
  • (iv)
    93.67 sq.cm
  • (v)
    142.67 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)
    212.93 sq.cm
  • (iii)
    243.93 sq.cm
  • (iv)
    219.93 sq.cm
  • (v)
    195.93 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 = 15 and EB = 4.5 , find the area of the remaining portion
  • (i)
    84.97 sq.cm
  • (ii)
    86.97 sq.cm
  • (iii)
    81.97 sq.cm
  • (iv)
    78.97 sq.cm
  • (v)
    76.97 sq.cm
Question 15
15.
In the given figure, ABCD is a square of side 16.00 cm . At the centre there is a circle with radius 4.00 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • (i)
    139.43 sq.cm
  • (ii)
    167.43 sq.cm
  • (iii)
    130.43 sq.cm
  • (iv)
    168.43 sq.cm
  • (v)
    155.43 sq.cm
Question 16
16.
In the given figure, ABCD is a square of side 11.00 cm and A, B, C, D are the centres of circular arcs, each of radius 5.50 cm. Find the area of the shaded region
  • (i)
    30.93 sq.cm
  • (ii)
    22.93 sq.cm
  • (iii)
    28.93 sq.cm
  • (iv)
    25.93 sq.cm
  • (v)
    20.93 sq.cm
Question 17
17.
In the given figure, BC = 5 cm and AB = 7 cm. Find the perimeter of the shaded region
  • (i)
    52.64 cm
  • (ii)
    44.64 cm
  • (iii)
    47.64 cm
  • (iv)
    50.64 cm
  • (v)
    42.64 cm
Question 18
18.
In the given figure, d = 14.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    322.00 sq.cm
  • (ii)
    308.00 sq.cm
  • (iii)
    320.00 sq.cm
  • (iv)
    283.00 sq.cm
  • (v)
    291.00 sq.cm
Question 19
19.
Find the area of the shaded region
  • (i)
    58.93 sq.cm
  • (ii)
    66.93 sq.cm
  • (iii)
    61.93 sq.cm
  • (iv)
    56.93 sq.cm
  • (v)
    64.93 sq.cm
Question 20
20.
Find the area of the shaded region
  • (i)
    133.21 sq.cm
  • (ii)
    91.21 sq.cm
  • (iii)
    112.21 sq.cm
  • (iv)
    108.21 sq.cm
  • (v)
    90.21 sq.cm
Question 21
21.
In the given figure, arcs of two concentric circles of radii 16.00 cm and 4.80 cm are drawn with center O. If ∠HOI = 60°, find the area of the shaded region
  • (i)
    99.03 sq.cm
  • (ii)
    105.03 sq.cm
  • (iii)
    134.03 sq.cm
  • (iv)
    122.03 sq.cm
  • (v)
    128.03 sq.cm
Question 22
22.
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
  • (i)
    10.28 sq.cm
  • (ii)
    15.28 sq.cm
  • (iii)
    7.28 sq.cm
  • (iv)
    13.28 sq.cm
  • (v)
    5.28 sq.cm
    Assignment Key

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