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 5.00 cm, the area of the circle is
  • (i)
    75.57 sq.cm
  • (ii)
    78.57 sq.cm
  • (iii)
    81.57 sq.cm
  • (iv)
    83.57 sq.cm
  • (v)
    73.57 sq.cm
Question 2
2.
If radius of the circle is 5.00 cm, the area of the semicircle is
  • (i)
    39.29 sq.cm
  • (ii)
    36.29 sq.cm
  • (iii)
    34.29 sq.cm
  • (iv)
    42.29 sq.cm
  • (v)
    44.29 sq.cm
Question 3
3.
If radius of the circle is 8.00 cm, the perimeter of the semicircle is
  • (i)
    46.14 cm
  • (ii)
    36.14 cm
  • (iii)
    38.14 cm
  • (iv)
    44.14 cm
  • (v)
    41.14 cm
Question 4
4.
If diameter of the circle is 20.00 cm, the area of the circle is
  • (i)
    314.29 sq.cm
  • (ii)
    310.29 sq.cm
  • (iii)
    327.29 sq.cm
  • (iv)
    302.29 sq.cm
  • (v)
    328.29 sq.cm
Question 5
5.
If diameter of the circle is 12.00 cm, the area of the semicircle is
  • (i)
    61.57 sq.cm
  • (ii)
    51.57 sq.cm
  • (iii)
    59.57 sq.cm
  • (iv)
    56.57 sq.cm
  • (v)
    53.57 sq.cm
Question 6
6.
If diameter of the circle is 10.00 cm, the perimeter of the semicircle is
  • (i)
    20.71 cm
  • (ii)
    28.71 cm
  • (iii)
    22.71 cm
  • (iv)
    25.71 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)
    173.14 sq.cm
  • (iii)
    189.14 sq.cm
  • (iv)
    214.14 sq.cm
  • (v)
    205.14 sq.cm
Question 8
8.
If circumference of the circle is 62.86 cm, the area of the semicircle is
  • (i)
    141.14 sq.cm
  • (ii)
    174.14 sq.cm
  • (iii)
    169.14 sq.cm
  • (iv)
    153.14 sq.cm
  • (v)
    157.14 sq.cm
Question 9
9.
If circumference of the circle is 44.00 cm, the perimeter of the semicircle is
  • (i)
    31.00 cm
  • (ii)
    33.00 cm
  • (iii)
    41.00 cm
  • (iv)
    36.00 cm
  • (v)
    39.00 cm
Question 10
10.
If area of the circle is 201.14 sq.cm, the area of the semicircle is
  • (i)
    118.57 sq.cm
  • (ii)
    85.57 sq.cm
  • (iii)
    87.57 sq.cm
  • (iv)
    100.57 sq.cm
Question 11
11.
If area of the circle is 314.29 sq.cm, the perimeter of the semicircle is
  • (i)
    46.43 cm
  • (ii)
    51.43 cm
  • (iii)
    48.43 cm
  • (iv)
    54.43 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 22 cm. Find the area of the shaded region
  • (i)
    77.82 sq.cm
  • (ii)
    82.82 sq.cm
  • (iii)
    79.82 sq.cm
  • (iv)
    87.82 sq.cm
  • (v)
    85.82 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)
    213.93 sq.cm
  • (iii)
    195.93 sq.cm
  • (iv)
    233.93 sq.cm
  • (v)
    217.93 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 = 4.5 , find the area of the remaining portion
  • (i)
    68.50 sq.cm
  • (ii)
    78.50 sq.cm
  • (iii)
    70.50 sq.cm
  • (iv)
    76.50 sq.cm
  • (v)
    73.50 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)
    82.43 sq.cm
  • (ii)
    84.43 sq.cm
  • (iii)
    87.43 sq.cm
  • (iv)
    92.43 sq.cm
  • (v)
    90.43 sq.cm
Question 16
16.
In the given figure, ABCD is a square of side 14.00 cm and A, B, C, D are the centres of circular arcs, each of radius 7.00 cm. Find the area of the shaded region
  • (i)
    37.00 sq.cm
  • (ii)
    39.00 sq.cm
  • (iii)
    45.00 sq.cm
  • (iv)
    42.00 sq.cm
  • (v)
    47.00 sq.cm
Question 17
17.
In the given figure, BC = 9 cm and AB = 10 cm. Find the perimeter of the shaded region
  • (i)
    79.74 cm
  • (ii)
    74.74 cm
  • (iii)
    71.74 cm
  • (iv)
    69.74 cm
  • (v)
    77.74 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)
    265.57 sq.cm
  • (ii)
    291.57 sq.cm
  • (iii)
    248.57 sq.cm
  • (iv)
    262.57 sq.cm
  • (v)
    273.57 sq.cm
Question 19
19.
Find the area of the shaded region
  • (i)
    66.43 sq.cm
  • (ii)
    74.43 sq.cm
  • (iii)
    69.43 sq.cm
  • (iv)
    64.43 sq.cm
  • (v)
    72.43 sq.cm
Question 20
20.
Find the area of the shaded region
  • (i)
    129.93 sq.cm
  • (ii)
    96.93 sq.cm
  • (iii)
    112.93 sq.cm
  • (iv)
    127.93 sq.cm
  • (v)
    104.93 sq.cm
Question 21
21.
In the given figure, arcs of two concentric circles of radii 20.00 cm and 8.00 cm are drawn with center O. If ∠DOE = 70°, find the area of the shaded region
  • (i)
    192.33 sq.cm
  • (ii)
    208.33 sq.cm
  • (iii)
    205.33 sq.cm
  • (iv)
    179.33 sq.cm
  • (v)
    233.33 sq.cm
Question 22
22.
In the given figure △ABC is an equilateral triangle whose area is 84.87 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)
    8.87 sq.cm
  • (ii)
    5.87 sq.cm
  • (iii)
    7.87 sq.cm
  • (iv)
    6.87 sq.cm
  • (v)
    9.87 sq.cm
    Assignment Key

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