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 7.00 cm, the area of the circle is
  • (i)
    179.00 sq.cm
  • (ii)
    151.00 sq.cm
  • (iii)
    167.00 sq.cm
  • (iv)
    136.00 sq.cm
  • (v)
    154.00 sq.cm
Question 2
2.
If radius of the circle is 5.00 cm, the area of the semicircle is
  • (i)
    42.29 sq.cm
  • (ii)
    36.29 sq.cm
  • (iii)
    34.29 sq.cm
  • (iv)
    44.29 sq.cm
  • (v)
    39.29 sq.cm
Question 3
3.
If radius of the circle is 7.00 cm, the perimeter of the semicircle is
  • (i)
    41.00 cm
  • (ii)
    33.00 cm
  • (iii)
    31.00 cm
  • (iv)
    36.00 cm
  • (v)
    39.00 cm
Question 4
4.
If diameter of the circle is 14.00 cm, the area of the circle is
  • (i)
    148.00 sq.cm
  • (ii)
    168.00 sq.cm
  • (iii)
    157.00 sq.cm
  • (iv)
    126.00 sq.cm
  • (v)
    154.00 sq.cm
Question 5
5.
If diameter of the circle is 12.00 cm, the area of the semicircle is
  • (i)
    53.57 sq.cm
  • (ii)
    59.57 sq.cm
  • (iii)
    51.57 sq.cm
  • (iv)
    56.57 sq.cm
  • (v)
    61.57 sq.cm
Question 6
6.
If diameter of the circle is 18.00 cm, the perimeter of the semicircle is
  • (i)
    41.29 cm
  • (ii)
    49.29 cm
  • (iii)
    43.29 cm
  • (iv)
    51.29 cm
  • (v)
    46.29 cm
Question 7
7.
If circumference of the circle is 31.43 cm, the area of the circle is
  • (i)
    83.57 sq.cm
  • (ii)
    81.57 sq.cm
  • (iii)
    75.57 sq.cm
  • (iv)
    78.57 sq.cm
  • (v)
    73.57 sq.cm
Question 8
8.
If circumference of the circle is 56.57 cm, the area of the semicircle is
  • (i)
    110.29 sq.cm
  • (ii)
    109.29 sq.cm
  • (iii)
    134.29 sq.cm
  • (iv)
    127.29 sq.cm
  • (v)
    139.29 sq.cm
Question 9
9.
If circumference of the circle is 50.29 cm, the perimeter of the semicircle is
  • (i)
    44.14 cm
  • (ii)
    36.14 cm
  • (iii)
    41.14 cm
  • (iv)
    46.14 cm
  • (v)
    38.14 cm
Question 10
10.
If area of the circle is 154.00 sq.cm, the area of the semicircle is
  • (i)
    80.00 sq.cm
  • (ii)
    72.00 sq.cm
  • (iii)
    74.00 sq.cm
  • (iv)
    77.00 sq.cm
  • (v)
    82.00 sq.cm
Question 11
11.
If area of the circle is 254.57 sq.cm, the perimeter of the semicircle is
  • (i)
    46.29 cm
  • (ii)
    49.29 cm
  • (iii)
    43.29 cm
  • (iv)
    41.29 cm
  • (v)
    51.29 cm
Question 12
12.
In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 15 cm. Find the area of the shaded region
  • (i)
    35.50 sq.cm
  • (ii)
    41.50 sq.cm
  • (iii)
    33.50 sq.cm
  • (iv)
    38.50 sq.cm
  • (v)
    43.50 sq.cm
Question 13
13.
In the given figure, the circle circumscribes a rectangle with sides 14.00 cm and 12.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    96.14 sq.cm
  • (ii)
    99.14 sq.cm
  • (iii)
    94.14 sq.cm
  • (iv)
    102.14 sq.cm
  • (v)
    104.14 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 = 13 and EB = 5.2 , find the area of the remaining portion
  • (i)
    75.01 sq.cm
  • (ii)
    65.01 sq.cm
  • (iii)
    70.01 sq.cm
  • (iv)
    67.01 sq.cm
  • (v)
    73.01 sq.cm
Question 15
15.
In the given figure, ABCD is a square of side 15.00 cm . At the centre there is a circle with radius 3.75 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • (i)
    163.61 sq.cm
  • (ii)
    152.61 sq.cm
  • (iii)
    128.61 sq.cm
  • (iv)
    136.61 sq.cm
  • (v)
    108.61 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)
    20.93 sq.cm
  • (iv)
    28.93 sq.cm
  • (v)
    25.93 sq.cm
Question 17
17.
In the given figure, BC = 13 cm and AB = 9 cm. Find the perimeter of the shaded region
  • (i)
    82.50 cm
  • (ii)
    90.50 cm
  • (iii)
    87.50 cm
  • (iv)
    92.50 cm
  • (v)
    84.50 cm
Question 18
18.
In the given figure, d = 11.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    168.14 sq.cm
  • (ii)
    172.14 sq.cm
  • (iii)
    207.14 sq.cm
  • (iv)
    190.14 sq.cm
  • (v)
    204.14 sq.cm
Question 19
19.
Find the area of the shaded region
  • (i)
    16.43 sq.cm
  • (ii)
    26.43 sq.cm
  • (iii)
    21.43 sq.cm
  • (iv)
    24.43 sq.cm
  • (v)
    18.43 sq.cm
Question 20
20.
Find the area of the shaded region
  • (i)
    67.00 sq.cm
  • (ii)
    73.00 sq.cm
  • (iii)
    65.00 sq.cm
  • (iv)
    75.00 sq.cm
  • (v)
    70.00 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 = 60°, find the area of the shaded region
  • (i)
    172.00 sq.cm
  • (ii)
    176.00 sq.cm
  • (iii)
    188.00 sq.cm
  • (iv)
    193.00 sq.cm
  • (v)
    158.00 sq.cm
Question 22
22.
In the given figure △ABC is an equilateral triangle whose area is 62.35 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)
    4.78 sq.cm
  • (ii)
    5.78 sq.cm
  • (iii)
    7.78 sq.cm
  • (iv)
    3.78 sq.cm
  • (v)
    6.78 sq.cm
    Assignment Key

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