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)
    137.00 sq.cm
  • (ii)
    161.00 sq.cm
  • (iii)
    154.00 sq.cm
  • (iv)
    170.00 sq.cm
  • (v)
    142.00 sq.cm
Question 2
2.
If radius of the circle is 8.00 cm, the area of the semicircle is
  • (i)
    98.57 sq.cm
  • (ii)
    125.57 sq.cm
  • (iii)
    100.57 sq.cm
  • (iv)
    76.57 sq.cm
  • (v)
    116.57 sq.cm
Question 3
3.
If radius of the circle is 5.00 cm, the perimeter of the semicircle is
  • (i)
    30.71 cm
  • (ii)
    25.71 cm
  • (iii)
    22.71 cm
  • (iv)
    20.71 cm
  • (v)
    28.71 cm
Question 4
4.
If diameter of the circle is 10.00 cm, the area of the circle is
  • (i)
    75.57 sq.cm
  • (ii)
    73.57 sq.cm
  • (iii)
    78.57 sq.cm
  • (iv)
    81.57 sq.cm
  • (v)
    83.57 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)
    56.57 sq.cm
  • (iv)
    53.57 sq.cm
  • (v)
    59.57 sq.cm
Question 6
6.
If diameter of the circle is 10.00 cm, the perimeter of the semicircle is
  • (i)
    25.71 cm
  • (ii)
    28.71 cm
  • (iii)
    20.71 cm
  • (iv)
    22.71 cm
  • (v)
    30.71 cm
Question 7
7.
If circumference of the circle is 62.86 cm, the area of the circle is
  • (i)
    339.29 sq.cm
  • (ii)
    287.29 sq.cm
  • (iii)
    300.29 sq.cm
  • (iv)
    314.29 sq.cm
  • (v)
    316.29 sq.cm
Question 8
8.
If circumference of the circle is 50.29 cm, the area of the semicircle is
  • (i)
    93.57 sq.cm
  • (ii)
    102.57 sq.cm
  • (iii)
    85.57 sq.cm
  • (iv)
    100.57 sq.cm
  • (v)
    113.57 sq.cm
Question 9
9.
If circumference of the circle is 31.43 cm, the perimeter of the semicircle is
  • (i)
    30.71 cm
  • (ii)
    25.71 cm
  • (iii)
    28.71 cm
  • (iv)
    20.71 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)
    72.57 sq.cm
  • (ii)
    104.57 sq.cm
  • (iii)
    94.57 sq.cm
  • (iv)
    117.57 sq.cm
  • (v)
    100.57 sq.cm
Question 11
11.
If area of the circle is 254.57 sq.cm, the perimeter of the semicircle is
  • (i)
    43.29 cm
  • (ii)
    41.29 cm
  • (iii)
    51.29 cm
  • (iv)
    46.29 cm
  • (v)
    49.29 cm
Question 12
12.
In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 17 cm. Find the area of the shaded region
  • (i)
    54.45 sq.cm
  • (ii)
    52.45 sq.cm
  • (iii)
    49.45 sq.cm
  • (iv)
    46.45 sq.cm
  • (v)
    44.45 sq.cm
Question 13
13.
In the given figure, the circle circumscribes a rectangle with sides 19.00 cm and 14.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    171.64 sq.cm
  • (ii)
    167.64 sq.cm
  • (iii)
    154.64 sq.cm
  • (iv)
    189.64 sq.cm
  • (v)
    173.64 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 = 19 and EB = 2.7 , find the area of the remaining portion
  • (i)
    99.01 sq.cm
  • (ii)
    85.01 sq.cm
  • (iii)
    116.01 sq.cm
  • (iv)
    103.01 sq.cm
  • (v)
    115.01 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)
    55.71 sq.cm
  • (ii)
    65.71 sq.cm
  • (iii)
    57.71 sq.cm
  • (iv)
    63.71 sq.cm
  • (v)
    60.71 sq.cm
Question 16
16.
In the given figure, ABCD is a square of side 18.00 cm and A, B, C, D are the centres of circular arcs, each of radius 9.00 cm. Find the area of the shaded region
  • (i)
    64.43 sq.cm
  • (ii)
    74.43 sq.cm
  • (iii)
    69.43 sq.cm
  • (iv)
    72.43 sq.cm
  • (v)
    66.43 sq.cm
Question 17
17.
In the given figure, BC = 8 cm and AB = 15 cm. Find the perimeter of the shaded region
  • (i)
    96.43 cm
  • (ii)
    90.43 cm
  • (iii)
    98.43 cm
  • (iv)
    93.43 cm
  • (v)
    88.43 cm
Question 18
18.
In the given figure, d = 16.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    410.29 sq.cm
  • (ii)
    374.29 sq.cm
  • (iii)
    402.29 sq.cm
  • (iv)
    419.29 sq.cm
  • (v)
    399.29 sq.cm
Question 19
19.
Find the area of the shaded region
  • (i)
    27.86 sq.cm
  • (ii)
    25.86 sq.cm
  • (iii)
    33.86 sq.cm
  • (iv)
    35.86 sq.cm
  • (v)
    30.86 sq.cm
Question 20
20.
Find the area of the shaded region
  • (i)
    96.36 sq.cm
  • (ii)
    93.36 sq.cm
  • (iii)
    99.36 sq.cm
  • (iv)
    91.36 sq.cm
  • (v)
    101.36 sq.cm
Question 21
21.
In the given figure, arcs of two concentric circles of radii 17.00 cm and 5.10 cm are drawn with center O. If ∠DOE = 50°, find the area of the shaded region
  • (i)
    102.80 sq.cm
  • (ii)
    114.80 sq.cm
  • (iii)
    90.80 sq.cm
  • (iv)
    131.80 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)
    7.28 sq.cm
  • (ii)
    5.28 sq.cm
  • (iii)
    10.28 sq.cm
  • (iv)
    13.28 sq.cm
  • (v)
    15.28 sq.cm
    Assignment Key

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