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 22 cm. Find the area of the shaded region
  • (i)
    82.82 sq.cm
  • (ii)
    87.82 sq.cm
  • (iii)
    77.82 sq.cm
  • (iv)
    85.82 sq.cm
  • (v)
    79.82 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 12.00 cm and 10.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    76.71 sq.cm
  • (ii)
    71.71 sq.cm
  • (iii)
    66.71 sq.cm
  • (iv)
    74.71 sq.cm
  • (v)
    68.71 sq.cm
Question 3
3.
In the given figure ,PQRS is the diameter of the circle of radius 6.00 cm and PQ = QR = RS. Find the area of the shaded region
  • (i)
    80.43 sq.cm
  • (ii)
    75.43 sq.cm
  • (iii)
    78.43 sq.cm
  • (iv)
    70.43 sq.cm
  • (v)
    72.43 sq.cm
Question 4
4.
In the given figure ,PQRS is the diameter of the circle of radius 13.50 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • (i)
    89.86 cm
  • (ii)
    84.86 cm
  • (iii)
    81.86 cm
  • (iv)
    87.86 cm
  • (v)
    79.86 cm
Question 5
5.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 12 and EB = 2.8 , find the area of the remaining portion
  • (i)
    50.66 sq.cm
  • (ii)
    44.66 sq.cm
  • (iii)
    47.66 sq.cm
  • (iv)
    52.66 sq.cm
  • (v)
    42.66 sq.cm
Question 6
6.
In the given figure, ABCD is a square of side 13.00 cm . At the centre there is a circle with radius 3.25 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • (i)
    87.61 sq.cm
  • (ii)
    120.61 sq.cm
  • (iii)
    105.61 sq.cm
  • (iv)
    102.61 sq.cm
  • (v)
    85.61 sq.cm
Question 7
7.
In the given figure, ABCD is a square of side 20.00 cm . At the centre there is a circle with radius 5.00 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.
  • (i)
    87.86 cm
  • (ii)
    78.86 cm
  • (iii)
    118.86 cm
  • (iv)
    102.86 cm
  • (v)
    119.86 cm
Question 8
8.
In the given figure, ABCD is a square of side 10.00 cm and A, B, C, D are the centres of circular arcs, each of radius 5.00 cm. Find the area of the shaded region
  • (i)
    24.43 sq.cm
  • (ii)
    26.43 sq.cm
  • (iii)
    21.43 sq.cm
  • (iv)
    16.43 sq.cm
  • (v)
    18.43 sq.cm
Question 9
9.
In the given figure, ABCD is a square of side 13.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    551.36 sq.cm
  • (ii)
    573.36 sq.cm
  • (iii)
    552.36 sq.cm
  • (iv)
    580.36 sq.cm
  • (v)
    567.36 sq.cm
Question 10
10.
In the given figure, BC = 9 cm and AB = 10 cm. Find the area of the shaded region
  • (i)
    100.21 sq.cm
  • (ii)
    92.21 sq.cm
  • (iii)
    94.21 sq.cm
  • (iv)
    97.21 sq.cm
  • (v)
    102.21 sq.cm
Question 11
11.
In the given figure, BC = 13 cm and AB = 12 cm. Find the perimeter of the shaded region
  • (i)
    103.29 cm
  • (ii)
    95.29 cm
  • (iii)
    93.29 cm
  • (iv)
    101.29 cm
  • (v)
    98.29 cm
Question 12
12.
In the below figure, AB is the diameter of a circle with center O and OA = 17.00 cm . Find the area of the shaded region
  • (i)
    409.21 sq.cm
  • (ii)
    374.21 sq.cm
  • (iii)
    406.21 sq.cm
  • (iv)
    392.21 sq.cm
Question 13
13.
In the below figure, two circles with centers O and A touch internally at B. If OB = 12.00 cm and OA = 4.8 cm, find the area of the unshaded region
  • (i)
    306.65 sq.cm
  • (ii)
    289.65 sq.cm
  • (iii)
    305.65 sq.cm
  • (iv)
    275.65 sq.cm
  • (v)
    261.65 sq.cm
Question 14
14.
In the below figure, BPQA is a quadrant of a circle. AB = 14.00 cm and BC = 11 cm . Find the area of the shaded region
  • (i)
    74.00 sq.cm
  • (ii)
    82.00 sq.cm
  • (iii)
    80.00 sq.cm
  • (iv)
    72.00 sq.cm
  • (v)
    77.00 sq.cm
Question 15
15.
In the below figure, BCPA is a quadrant of a circle. BC = 18.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    149.00 sq.cm
  • (ii)
    138.00 sq.cm
  • (iii)
    162.00 sq.cm
  • (iv)
    188.00 sq.cm
  • (v)
    164.00 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)
    163.50 sq.cm
  • (ii)
    193.50 sq.cm
  • (iii)
    180.50 sq.cm
  • (iv)
    204.50 sq.cm
  • (v)
    158.50 sq.cm
Question 17
17.
In the given figure, find the area of the shaded region
  • (i)
    149.00 sq.cm
  • (ii)
    129.00 sq.cm
  • (iii)
    152.00 sq.cm
  • (iv)
    174.00 sq.cm
  • (v)
    166.00 sq.cm
Question 18
18.
In the given figure, find the area of the shaded region
  • (i)
    155.50 sq.cm
  • (ii)
    143.50 sq.cm
  • (iii)
    159.50 sq.cm
  • (iv)
    161.50 sq.cm
  • (v)
    186.50 sq.cm
Question 19
19.
In the given figure, d = 11.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    183.14 sq.cm
  • (ii)
    176.14 sq.cm
  • (iii)
    208.14 sq.cm
  • (iv)
    215.14 sq.cm
  • (v)
    190.14 sq.cm
Question 20
20.
In the given figure, find the area of the shaded region
  • (i)
    262.21 sq.cm
  • (ii)
    300.21 sq.cm
  • (iii)
    299.21 sq.cm
  • (iv)
    279.21 sq.cm
  • (v)
    285.21 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 4.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
  • (i)
    47.29 sq.cm
  • (ii)
    53.29 sq.cm
  • (iii)
    45.29 sq.cm
  • (iv)
    50.29 sq.cm
  • (v)
    55.29 sq.cm
Question 22
22.
The given figure consists of two quarter circles each of radius 10.00 cm and four semi-circles each of radius 5.00 cm. Find the area of the shaded region
  • (i)
    172.14 sq.cm
  • (ii)
    141.14 sq.cm
  • (iii)
    135.14 sq.cm
  • (iv)
    181.14 sq.cm
  • (v)
    157.14 sq.cm
Question 23
23.
Find the area of the shaded region
  • (i)
    90.71 sq.cm
  • (ii)
    85.71 sq.cm
  • (iii)
    82.71 sq.cm
  • (iv)
    88.71 sq.cm
  • (v)
    80.71 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    93.36 sq.cm
  • (ii)
    91.36 sq.cm
  • (iii)
    101.36 sq.cm
  • (iv)
    99.36 sq.cm
  • (v)
    96.36 sq.cm
Question 25
25.
In the given figure, BC = 5.00 cm. Find the area of the shaded region
  • (i)
    276.64 sq.cm
  • (ii)
    301.64 sq.cm
  • (iii)
    270.64 sq.cm
  • (iv)
    319.64 sq.cm
  • (v)
    294.64 sq.cm
Question 26
26.
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)
    7.78 sq.cm
  • (ii)
    5.78 sq.cm
  • (iii)
    3.78 sq.cm
  • (iv)
    4.78 sq.cm
  • (v)
    6.78 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)
    215.57 sq.cm
  • (ii)
    243.57 sq.cm
  • (iii)
    230.57 sq.cm
  • (iv)
    228.57 sq.cm
  • (v)
    220.57 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 18.00 cm each
  • (i)
    201.14 sq.cm
  • (ii)
    190.14 sq.cm
  • (iii)
    177.14 sq.cm
  • (iv)
    185.14 sq.cm
  • (v)
    162.14 sq.cm
    Assignment Key
  •  1) (i)
  •  2) (ii)
  •  3) (ii)
  •  4) (ii)
  •  5) (iii)
  •  6) (iv)
  •  7) (iv)
  •  8) (iii)
  •  9) (v)
  •  10) (iv)
  •  11) (v)
  •  12) (iv)
  •  13) (ii)
  •  14) (v)
  •  15) (iii)
  •  16) (iii)
  •  17) (iii)
  •  18) (iii)
  •  19) (v)
  •  20) (v)
  •  21) (iv)
  •  22) (v)
  •  23) (ii)
  •  24) (v)
  •  25) (v)
  •  26) (ii)
  •  27) (iv)
  •  28) (iv)