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)
    300.29 sq.cm
  • (ii)
    317.29 sq.cm
  • (iii)
    289.29 sq.cm
  • (iv)
    314.29 sq.cm
  • (v)
    331.29 sq.cm
Question 2
2.
If radius of the circle is 6.00 cm, the area of the semicircle is
  • (i)
    61.57 sq.cm
  • (ii)
    51.57 sq.cm
  • (iii)
    53.57 sq.cm
  • (iv)
    56.57 sq.cm
  • (v)
    59.57 sq.cm
Question 3
3.
If radius of the circle is 6.00 cm, the perimeter of the semicircle is
  • (i)
    33.86 cm
  • (ii)
    27.86 cm
  • (iii)
    30.86 cm
  • (iv)
    25.86 cm
  • (v)
    35.86 cm
Question 4
4.
If diameter of the circle is 18.00 cm, the area of the circle is
  • (i)
    252.57 sq.cm
  • (ii)
    262.57 sq.cm
  • (iii)
    254.57 sq.cm
  • (iv)
    277.57 sq.cm
  • (v)
    227.57 sq.cm
Question 5
5.
If diameter of the circle is 14.00 cm, the area of the semicircle is
  • (i)
    74.00 sq.cm
  • (ii)
    72.00 sq.cm
  • (iii)
    80.00 sq.cm
  • (iv)
    82.00 sq.cm
  • (v)
    77.00 sq.cm
Question 6
6.
If diameter of the circle is 18.00 cm, the perimeter of the semicircle is
  • (i)
    51.29 cm
  • (ii)
    43.29 cm
  • (iii)
    41.29 cm
  • (iv)
    46.29 cm
  • (v)
    49.29 cm
Question 7
7.
If circumference of the circle is 37.71 cm, the area of the circle is
  • (i)
    138.14 sq.cm
  • (ii)
    127.14 sq.cm
  • (iii)
    97.14 sq.cm
  • (iv)
    113.14 sq.cm
  • (v)
    85.14 sq.cm
Question 8
8.
If circumference of the circle is 56.57 cm, the area of the semicircle is
  • (i)
    140.29 sq.cm
  • (ii)
    131.29 sq.cm
  • (iii)
    99.29 sq.cm
  • (iv)
    127.29 sq.cm
  • (v)
    120.29 sq.cm
Question 9
9.
If circumference of the circle is 62.86 cm, the perimeter of the semicircle is
  • (i)
    48.43 cm
  • (ii)
    56.43 cm
  • (iii)
    51.43 cm
  • (iv)
    46.43 cm
  • (v)
    54.43 cm
Question 10
10.
If area of the circle is 113.14 sq.cm, the area of the semicircle is
  • (i)
    61.57 sq.cm
  • (ii)
    53.57 sq.cm
  • (iii)
    51.57 sq.cm
  • (iv)
    56.57 sq.cm
  • (v)
    59.57 sq.cm
Question 11
11.
If area of the circle is 78.57 sq.cm, the perimeter of the semicircle is
  • (i)
    25.71 cm
  • (ii)
    30.71 cm
  • (iii)
    28.71 cm
  • (iv)
    22.71 cm
  • (v)
    20.71 cm
Question 12
12.
In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 25 cm. Find the area of the shaded region
  • (i)
    78.94 sq.cm
  • (ii)
    106.94 sq.cm
  • (iii)
    131.94 sq.cm
  • (iv)
    92.94 sq.cm
  • (v)
    110.94 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)
    234.93 sq.cm
  • (ii)
    205.93 sq.cm
  • (iii)
    235.93 sq.cm
  • (iv)
    217.93 sq.cm
  • (v)
    191.93 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 = 14 and EB = 3.9 , find the area of the remaining portion
  • (i)
    66.30 sq.cm
  • (ii)
    72.30 sq.cm
  • (iii)
    69.30 sq.cm
  • (iv)
    74.30 sq.cm
  • (v)
    64.30 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)
    65.71 sq.cm
  • (iii)
    63.71 sq.cm
  • (iv)
    55.71 sq.cm
  • (v)
    60.71 sq.cm
Question 16
16.
In the given figure, ABCD is a square of side 19.00 cm and A, B, C, D are the centres of circular arcs, each of radius 9.50 cm. Find the area of the shaded region
  • (i)
    72.36 sq.cm
  • (ii)
    74.36 sq.cm
  • (iii)
    77.36 sq.cm
  • (iv)
    80.36 sq.cm
  • (v)
    82.36 sq.cm
Question 17
17.
In the given figure, BC = 9 cm and AB = 13 cm. Find the perimeter of the shaded region
  • (i)
    82.50 cm
  • (ii)
    87.50 cm
  • (iii)
    84.50 cm
  • (iv)
    90.50 cm
  • (v)
    92.50 cm
Question 18
18.
In the given figure, d = 10.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    142.14 sq.cm
  • (ii)
    157.14 sq.cm
  • (iii)
    161.14 sq.cm
  • (iv)
    130.14 sq.cm
  • (v)
    174.14 sq.cm
Question 19
19.
Find the area of the shaded region
  • (i)
    41.21 sq.cm
  • (ii)
    39.21 sq.cm
  • (iii)
    33.21 sq.cm
  • (iv)
    31.21 sq.cm
  • (v)
    36.21 sq.cm
Question 20
20.
Find the area of the shaded region
  • (i)
    78.21 sq.cm
  • (ii)
    70.21 sq.cm
  • (iii)
    80.21 sq.cm
  • (iv)
    72.21 sq.cm
  • (v)
    75.21 sq.cm
Question 21
21.
In the given figure, arcs of two concentric circles of radii 11.00 cm and 4.40 cm are drawn with center O. If ∠AOB = 90°, find the area of the shaded region
  • (i)
    79.86 sq.cm
  • (ii)
    76.86 sq.cm
  • (iii)
    74.86 sq.cm
  • (iv)
    82.86 sq.cm
  • (v)
    84.86 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)
    7.04 sq.cm
  • (iii)
    9.04 sq.cm
  • (iv)
    11.04 sq.cm
  • (v)
    8.04 sq.cm
    Assignment Key

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