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 23 cm. Find the area of the shaded region
  • (i)
    90.52 sq.cm
  • (ii)
    87.52 sq.cm
  • (iii)
    85.52 sq.cm
  • (iv)
    93.52 sq.cm
  • (v)
    95.52 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 20.00 cm and 18.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    222.86 sq.cm
  • (ii)
    225.86 sq.cm
  • (iii)
    208.86 sq.cm
  • (iv)
    183.86 sq.cm
  • (v)
    200.86 sq.cm
Question 3
3.
In the given figure ,PQRS is the diameter of the circle of radius 13.50 cm and PQ = QR = RS. Find the area of the shaded region
  • (i)
    363.86 sq.cm
  • (ii)
    397.86 sq.cm
  • (iii)
    381.86 sq.cm
  • (iv)
    406.86 sq.cm
  • (v)
    365.86 sq.cm
Question 4
4.
In the given figure ,PQRS is the diameter of the circle of radius 6.00 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • (i)
    37.71 cm
  • (ii)
    34.71 cm
  • (iii)
    32.71 cm
  • (iv)
    42.71 cm
  • (v)
    40.71 cm
Question 5
5.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 10 and EB = 5.4 , find the area of the remaining portion
  • (i)
    53.43 sq.cm
  • (ii)
    43.43 sq.cm
  • (iii)
    51.43 sq.cm
  • (iv)
    48.43 sq.cm
  • (v)
    45.43 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)
    90.43 sq.cm
  • (ii)
    92.43 sq.cm
  • (iii)
    87.43 sq.cm
  • (iv)
    82.43 sq.cm
  • (v)
    84.43 sq.cm
Question 7
7.
In the given figure, ABCD is a square of side 19.00 cm . At the centre there is a circle with radius 4.75 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.
  • (i)
    102.71 cm
  • (ii)
    100.71 cm
  • (iii)
    97.71 cm
  • (iv)
    92.71 cm
  • (v)
    94.71 cm
Question 8
8.
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)
    43.21 sq.cm
  • (ii)
    48.21 sq.cm
  • (iii)
    45.21 sq.cm
  • (iv)
    53.21 sq.cm
  • (v)
    51.21 sq.cm
Question 9
9.
In the given figure, ABCD is a square of side 10.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    323.71 sq.cm
  • (ii)
    320.71 sq.cm
  • (iii)
    335.71 sq.cm
  • (iv)
    342.71 sq.cm
  • (v)
    361.71 sq.cm
Question 10
10.
In the given figure, BC = 8 cm and AB = 5 cm. Find the area of the shaded region
  • (i)
    46.93 sq.cm
  • (ii)
    49.93 sq.cm
  • (iii)
    44.93 sq.cm
  • (iv)
    54.93 sq.cm
  • (v)
    52.93 sq.cm
Question 11
11.
In the given figure, BC = 6 cm and AB = 5 cm. Find the perimeter of the shaded region
  • (i)
    40.36 cm
  • (ii)
    46.36 cm
  • (iii)
    38.36 cm
  • (iv)
    43.36 cm
  • (v)
    48.36 cm
Question 12
12.
In the below figure, AB is the diameter of a circle with center O and OA = 10.00 cm . Find the area of the shaded region
  • (i)
    135.71 sq.cm
  • (ii)
    133.71 sq.cm
  • (iii)
    147.71 sq.cm
  • (iv)
    110.71 sq.cm
  • (v)
    148.71 sq.cm
Question 13
13.
In the below figure, two circles with centers O and A touch internally at B. If OB = 16.00 cm and OA = 6.4 cm, find the area of the unshaded region
  • (i)
    498.93 sq.cm
  • (ii)
    542.93 sq.cm
  • (iii)
    514.93 sq.cm
  • (iv)
    517.93 sq.cm
  • (v)
    502.93 sq.cm
Question 14
14.
In the below figure, BPQA is a quadrant of a circle. AB = 20.00 cm and BC = 11 cm . Find the area of the shaded region
  • (i)
    216.29 sq.cm
  • (ii)
    228.29 sq.cm
  • (iii)
    197.29 sq.cm
  • (iv)
    204.29 sq.cm
  • (v)
    177.29 sq.cm
Question 15
15.
In the below figure, BCPA is a quadrant of a circle. BC = 15.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    135.50 sq.cm
  • (ii)
    85.50 sq.cm
  • (iii)
    112.50 sq.cm
  • (iv)
    104.50 sq.cm
  • (v)
    126.50 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)
    111.00 sq.cm
  • (ii)
    134.00 sq.cm
  • (iii)
    143.00 sq.cm
  • (iv)
    110.00 sq.cm
  • (v)
    128.00 sq.cm
Question 17
17.
In the given figure, find the area of the shaded region
  • (i)
    124.00 sq.cm
  • (ii)
    101.00 sq.cm
  • (iii)
    136.00 sq.cm
  • (iv)
    84.00 sq.cm
  • (v)
    108.00 sq.cm
Question 18
18.
In the given figure, find the area of the shaded region
  • (i)
    354.50 sq.cm
  • (ii)
    329.50 sq.cm
  • (iii)
    337.50 sq.cm
  • (iv)
    320.50 sq.cm
  • (v)
    353.50 sq.cm
Question 19
19.
In the given figure, d = 12.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    239.29 sq.cm
  • (ii)
    241.29 sq.cm
  • (iii)
    208.29 sq.cm
  • (iv)
    222.29 sq.cm
  • (v)
    226.29 sq.cm
Question 20
20.
In the given figure, find the area of the shaded region
  • (i)
    914.86 sq.cm
  • (ii)
    936.86 sq.cm
  • (iii)
    942.86 sq.cm
  • (iv)
    967.86 sq.cm
  • (v)
    954.86 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 6.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
  • (i)
    136.14 sq.cm
  • (ii)
    95.14 sq.cm
  • (iii)
    113.14 sq.cm
  • (iv)
    87.14 sq.cm
  • (v)
    130.14 sq.cm
Question 22
22.
The given figure consists of two quarter circles each of radius 14.00 cm and four semi-circles each of radius 7.00 cm. Find the area of the shaded region
  • (i)
    291.00 sq.cm
  • (ii)
    326.00 sq.cm
  • (iii)
    308.00 sq.cm
  • (iv)
    333.00 sq.cm
  • (v)
    294.00 sq.cm
Question 23
23.
Find the area of the shaded region
  • (i)
    80.36 sq.cm
  • (ii)
    77.36 sq.cm
  • (iii)
    82.36 sq.cm
  • (iv)
    74.36 sq.cm
  • (v)
    72.36 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    90.43 sq.cm
  • (ii)
    92.43 sq.cm
  • (iii)
    87.43 sq.cm
  • (iv)
    84.43 sq.cm
  • (v)
    82.43 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)
    206.57 sq.cm
  • (iii)
    162.57 sq.cm
  • (iv)
    203.57 sq.cm
  • (v)
    188.57 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)
    3.78 sq.cm
  • (ii)
    4.78 sq.cm
  • (iii)
    7.78 sq.cm
  • (iv)
    6.78 sq.cm
  • (v)
    5.78 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)
    228.57 sq.cm
  • (ii)
    240.57 sq.cm
  • (iii)
    202.57 sq.cm
  • (iv)
    215.57 sq.cm
  • (v)
    252.57 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)
    169.14 sq.cm
  • (ii)
    181.14 sq.cm
  • (iii)
    197.14 sq.cm
  • (iv)
    185.14 sq.cm
    Assignment Key
  •  1) (i)
  •  2) (iii)
  •  3) (iii)
  •  4) (i)
  •  5) (iv)
  •  6) (iii)
  •  7) (iii)
  •  8) (ii)
  •  9) (iii)
  •  10) (ii)
  •  11) (iv)
  •  12) (i)
  •  13) (iii)
  •  14) (iv)
  •  15) (iii)
  •  16) (v)
  •  17) (v)
  •  18) (iii)
  •  19) (v)
  •  20) (iii)
  •  21) (iii)
  •  22) (iii)
  •  23) (ii)
  •  24) (iii)
  •  25) (v)
  •  26) (v)
  •  27) (i)
  •  28) (iv)