EduSahara™ Assignment
Name : Perimeter and Area of Complex Shaped Figures
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 29 cm. Find the area of the shaded region
  • (i)
    159.90 sq.cm
  • (ii)
    131.90 sq.cm
  • (iii)
    143.90 sq.cm
  • (iv)
    130.90 sq.cm
  • (v)
    151.90 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 20.00 cm and 10.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    207.86 sq.cm
  • (ii)
    192.86 sq.cm
  • (iii)
    184.86 sq.cm
  • (iv)
    164.86 sq.cm
  • (v)
    208.86 sq.cm
Question 3
3.
In the given figure ,PQRS is the diameter of the circle of radius 9.00 cm and PQ = QR = RS. Find the area of the shaded region
  • (i)
    174.71 sq.cm
  • (ii)
    169.71 sq.cm
  • (iii)
    156.71 sq.cm
  • (iv)
    157.71 sq.cm
  • (v)
    196.71 sq.cm
Question 4
4.
In the given figure ,PQRS is the diameter of the circle of radius 3.00 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • (i)
    23.86 cm
  • (ii)
    18.86 cm
  • (iii)
    13.86 cm
  • (iv)
    21.86 cm
  • (v)
    15.86 cm
Question 5
5.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 17 and EB = 5.9 , find the area of the remaining portion
  • (i)
    94.08 sq.cm
  • (ii)
    87.08 sq.cm
  • (iii)
    125.08 sq.cm
  • (iv)
    112.08 sq.cm
Question 6
6.
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)
    92.43 sq.cm
  • (iv)
    84.43 sq.cm
  • (v)
    87.43 sq.cm
Question 7
7.
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 perimeter of the shaded region.
  • (i)
    46.43 cm
  • (ii)
    56.43 cm
  • (iii)
    48.43 cm
  • (iv)
    51.43 cm
  • (v)
    54.43 cm
Question 8
8.
In the given figure, ABCD is a square of side 16.00 cm and A, B, C, D are the centres of circular arcs, each of radius 8.00 cm. Find the area of the shaded region
  • (i)
    51.86 sq.cm
  • (ii)
    59.86 sq.cm
  • (iii)
    54.86 sq.cm
  • (iv)
    49.86 sq.cm
  • (v)
    57.86 sq.cm
Question 9
9.
In the given figure, ABCD is a square of side 11.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    421.21 sq.cm
  • (ii)
    429.21 sq.cm
  • (iii)
    406.21 sq.cm
  • (iv)
    388.21 sq.cm
  • (v)
    380.21 sq.cm
Question 10
10.
In the given figure, BC = 12 cm and AB = 14 cm. Find the area of the shaded region
  • (i)
    183.14 sq.cm
  • (ii)
    206.14 sq.cm
  • (iii)
    179.14 sq.cm
  • (iv)
    156.14 sq.cm
  • (v)
    195.14 sq.cm
Question 11
11.
In the given figure, BC = 15 cm and AB = 14 cm. Find the perimeter of the shaded region
  • (i)
    102.00 cm
  • (ii)
    129.00 cm
  • (iii)
    114.00 cm
  • (iv)
    118.00 cm
  • (v)
    97.00 cm
Question 12
12.
In the below figure, AB is the diameter of a circle with center O and OA = 12.00 cm . Find the area of the shaded region
  • (i)
    212.43 sq.cm
  • (ii)
    198.43 sq.cm
  • (iii)
    195.43 sq.cm
  • (iv)
    193.43 sq.cm
  • (v)
    171.43 sq.cm
Question 13
13.
In the below figure, two circles with centers O and A touch internally at B. If OB = 10.00 cm and OA = 3 cm, find the area of the unshaded region
  • (i)
    165.29 sq.cm
  • (ii)
    160.29 sq.cm
  • (iii)
    183.29 sq.cm
  • (iv)
    146.29 sq.cm
Question 14
14.
In the below figure, BPQA is a quadrant of a circle. AB = 19.00 cm and BC = 11 cm . Find the area of the shaded region
  • (i)
    179.14 sq.cm
  • (ii)
    206.14 sq.cm
  • (iii)
    173.14 sq.cm
  • (iv)
    191.14 sq.cm
  • (v)
    151.14 sq.cm
Question 15
15.
In the below figure, BCPA is a quadrant of a circle. BC = 19.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    198.50 sq.cm
  • (ii)
    163.50 sq.cm
  • (iii)
    187.50 sq.cm
  • (iv)
    180.50 sq.cm
  • (v)
    166.50 sq.cm
Question 16
16.
In the given figure, the triangle inside the square is an isosceles triangle. Find the area of the shaded region
  • (i)
    95.00 sq.cm
  • (ii)
    93.00 sq.cm
  • (iii)
    103.00 sq.cm
  • (iv)
    101.00 sq.cm
  • (v)
    98.00 sq.cm
Question 17
17.
In the given figure, find the area of the shaded region
  • (i)
    104.00 sq.cm
  • (ii)
    94.00 sq.cm
  • (iii)
    102.00 sq.cm
  • (iv)
    96.00 sq.cm
  • (v)
    99.00 sq.cm
Question 18
18.
In the given figure, find the area of the shaded region
  • (i)
    336.00 sq.cm
  • (ii)
    360.00 sq.cm
  • (iii)
    309.00 sq.cm
  • (iv)
    321.00 sq.cm
  • (v)
    349.00 sq.cm
Question 19
19.
In the given figure, d = 15.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    336.57 sq.cm
  • (ii)
    366.57 sq.cm
  • (iii)
    341.57 sq.cm
  • (iv)
    353.57 sq.cm
  • (v)
    379.57 sq.cm
Question 20
20.
In the given figure, find the area of the shaded region
  • (i)
    822.93 sq.cm
  • (ii)
    850.93 sq.cm
  • (iii)
    836.93 sq.cm
  • (iv)
    875.93 sq.cm
  • (v)
    863.93 sq.cm
Question 21
21.
The given figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii. The radius of each big semi-circle is 10.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
  • (i)
    307.29 sq.cm
  • (ii)
    314.29 sq.cm
  • (iii)
    328.29 sq.cm
  • (iv)
    326.29 sq.cm
  • (v)
    292.29 sq.cm
Question 22
22.
The given figure consists of two quarter circles each of radius 12.00 cm and four semi-circles each of radius 6.00 cm. Find the area of the shaded region
  • (i)
    234.29 sq.cm
  • (ii)
    226.29 sq.cm
  • (iii)
    209.29 sq.cm
  • (iv)
    222.29 sq.cm
  • (v)
    239.29 sq.cm
Question 23
23.
Find the area of the shaded region
  • (i)
    25.93 sq.cm
  • (ii)
    30.93 sq.cm
  • (iii)
    28.93 sq.cm
  • (iv)
    22.93 sq.cm
  • (v)
    20.93 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    73.86 sq.cm
  • (ii)
    67.86 sq.cm
  • (iii)
    70.86 sq.cm
  • (iv)
    65.86 sq.cm
  • (v)
    75.86 sq.cm
Question 25
25.
In the given figure, BC = 4.00 cm. Find the area of the shaded region
  • (i)
    182.57 sq.cm
  • (ii)
    205.57 sq.cm
  • (iii)
    162.57 sq.cm
  • (iv)
    188.57 sq.cm
  • (v)
    211.57 sq.cm
Question 26
26.
In the given figure △ABC is an equilateral triangle whose area is 140.3 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)
    13.01 sq.cm
  • (ii)
    10.01 sq.cm
  • (iii)
    18.01 sq.cm
  • (iv)
    8.01 sq.cm
  • (v)
    16.01 sq.cm
Question 27
27.
In the given figure, ABCD is a square with side 20.00 cm. Find the area of the shaded region
  • (i)
    212.57 sq.cm
  • (ii)
    228.57 sq.cm
  • (iii)
    246.57 sq.cm
  • (iv)
    233.57 sq.cm
  • (v)
    216.57 sq.cm
Question 28
28.
Find the area of the shaded region in the given figure common between the two quadrants of circles of radius 16.00 cm each
  • (i)
    129.29 sq.cm
  • (ii)
    148.29 sq.cm
  • (iii)
    168.29 sq.cm
  • (iv)
    146.29 sq.cm
  • (v)
    132.29 sq.cm
    Assignment Key
  •  1) (iii)
  •  2) (ii)
  •  3) (ii)
  •  4) (ii)
  •  5) (iv)
  •  6) (v)
  •  7) (iv)
  •  8) (iii)
  •  9) (iii)
  •  10) (i)
  •  11) (iii)
  •  12) (iii)
  •  13) (ii)
  •  14) (i)
  •  15) (iv)
  •  16) (v)
  •  17) (v)
  •  18) (i)
  •  19) (iv)
  •  20) (ii)
  •  21) (ii)
  •  22) (ii)
  •  23) (i)
  •  24) (iii)
  •  25) (iv)
  •  26) (i)
  •  27) (ii)
  •  28) (iv)