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 6.00 cm, the area of the circle is
  • (i)
    113.14 sq.cm
  • (ii)
    131.14 sq.cm
  • (iii)
    135.14 sq.cm
  • (iv)
    96.14 sq.cm
  • (v)
    89.14 sq.cm
Question 2
2.
If radius of the circle is 6.00 cm, the area of the semicircle is
  • (i)
    56.57 sq.cm
  • (ii)
    59.57 sq.cm
  • (iii)
    53.57 sq.cm
  • (iv)
    51.57 sq.cm
  • (v)
    61.57 sq.cm
Question 3
3.
If radius of the circle is 10.00 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 4
4.
If diameter of the circle is 16.00 cm, the area of the circle is
  • (i)
    189.14 sq.cm
  • (ii)
    214.14 sq.cm
  • (iii)
    201.14 sq.cm
  • (iv)
    173.14 sq.cm
  • (v)
    207.14 sq.cm
Question 5
5.
If diameter of the circle is 10.00 cm, the area of the semicircle is
  • (i)
    42.29 sq.cm
  • (ii)
    44.29 sq.cm
  • (iii)
    36.29 sq.cm
  • (iv)
    34.29 sq.cm
  • (v)
    39.29 sq.cm
Question 6
6.
If diameter of the circle is 20.00 cm, the perimeter of the semicircle is
  • (i)
    56.43 cm
  • (ii)
    51.43 cm
  • (iii)
    48.43 cm
  • (iv)
    46.43 cm
  • (v)
    54.43 cm
Question 7
7.
If circumference of the circle is 37.71 cm, the area of the circle is
  • (i)
    116.14 sq.cm
  • (ii)
    139.14 sq.cm
  • (iii)
    107.14 sq.cm
  • (iv)
    113.14 sq.cm
  • (v)
    85.14 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 31.43 cm, the perimeter of the semicircle is
  • (i)
    20.71 cm
  • (ii)
    28.71 cm
  • (iii)
    30.71 cm
  • (iv)
    25.71 cm
  • (v)
    22.71 cm
Question 10
10.
If area of the circle is 201.14 sq.cm, the area of the semicircle is
  • (i)
    100.57 sq.cm
  • (ii)
    73.57 sq.cm
  • (iii)
    117.57 sq.cm
  • (iv)
    94.57 sq.cm
  • (v)
    105.57 sq.cm
Question 11
11.
If area of the circle is 314.29 sq.cm, the perimeter of the semicircle is
  • (i)
    56.43 cm
  • (ii)
    54.43 cm
  • (iii)
    46.43 cm
  • (iv)
    51.43 cm
  • (v)
    48.43 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)
    87.67 sq.cm
  • (ii)
    115.67 sq.cm
  • (iii)
    128.67 sq.cm
  • (iv)
    120.67 sq.cm
  • (v)
    108.67 sq.cm
Question 13
13.
In the given figure, the circle circumscribes a rectangle with sides 19.00 cm and 10.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    172.21 sq.cm
  • (ii)
    184.21 sq.cm
  • (iii)
    159.21 sq.cm
  • (iv)
    158.21 sq.cm
  • (v)
    180.21 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 = 11 and EB = 3.6 , find the area of the remaining portion
  • (i)
    40.73 sq.cm
  • (ii)
    50.73 sq.cm
  • (iii)
    42.73 sq.cm
  • (iv)
    48.73 sq.cm
  • (v)
    45.73 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)
    90.43 sq.cm
  • (iii)
    84.43 sq.cm
  • (iv)
    92.43 sq.cm
  • (v)
    87.43 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)
    51.21 sq.cm
  • (ii)
    45.21 sq.cm
  • (iii)
    48.21 sq.cm
  • (iv)
    53.21 sq.cm
  • (v)
    43.21 sq.cm
Question 17
17.
In the given figure, BC = 12 cm and AB = 5 cm. Find the perimeter of the shaded region
  • (i)
    65.86 cm
  • (ii)
    67.86 cm
  • (iii)
    75.86 cm
  • (iv)
    73.86 cm
  • (v)
    70.86 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)
    241.29 sq.cm
  • (ii)
    208.29 sq.cm
  • (iii)
    226.29 sq.cm
  • (iv)
    233.29 sq.cm
  • (v)
    223.29 sq.cm
Question 19
19.
Find the area of the shaded region
  • (i)
    42.00 sq.cm
  • (ii)
    37.00 sq.cm
  • (iii)
    47.00 sq.cm
  • (iv)
    45.00 sq.cm
  • (v)
    39.00 sq.cm
Question 20
20.
Find the area of the shaded region
  • (i)
    130.86 sq.cm
  • (ii)
    100.86 sq.cm
  • (iii)
    97.86 sq.cm
  • (iv)
    114.86 sq.cm
  • (v)
    127.86 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 ∠HOI = 70°, find the area of the shaded region
  • (i)
    205.33 sq.cm
  • (ii)
    189.33 sq.cm
  • (iii)
    207.33 sq.cm
  • (iv)
    198.33 sq.cm
  • (v)
    232.33 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)
    13.06 sq.cm
  • (ii)
    19.06 sq.cm
  • (iii)
    11.06 sq.cm
  • (iv)
    21.06 sq.cm
  • (v)
    16.06 sq.cm
    Assignment Key

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