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)
    93.52 sq.cm
  • (iii)
    95.52 sq.cm
  • (iv)
    87.52 sq.cm
  • (v)
    85.52 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 17.00 cm and 11.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    163.14 sq.cm
  • (ii)
    135.14 sq.cm
  • (iii)
    112.14 sq.cm
  • (iv)
    130.14 sq.cm
  • (v)
    143.14 sq.cm
Question 3
3.
In the given figure ,PQRS is the diameter of the circle of radius 12.00 cm and PQ = QR = RS. Find the area of the shaded region
  • (i)
    316.71 sq.cm
  • (ii)
    301.71 sq.cm
  • (iii)
    283.71 sq.cm
  • (iv)
    318.71 sq.cm
Question 4
4.
In the given figure ,PQRS is the diameter of the circle of radius 15.00 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • (i)
    97.29 cm
  • (ii)
    94.29 cm
  • (iii)
    91.29 cm
  • (iv)
    99.29 cm
  • (v)
    89.29 cm
Question 5
5.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 19 and EB = 4.3 , find the area of the remaining portion
  • (i)
    126.21 sq.cm
  • (ii)
    112.21 sq.cm
  • (iii)
    104.21 sq.cm
  • (iv)
    141.21 sq.cm
  • (v)
    118.21 sq.cm
Question 6
6.
In the given figure, ABCD is a square of side 17.00 cm . At the centre there is a circle with radius 4.25 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • (i)
    157.46 sq.cm
  • (ii)
    188.46 sq.cm
  • (iii)
    175.46 sq.cm
  • (iv)
    199.46 sq.cm
  • (v)
    159.46 sq.cm
Question 7
7.
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 perimeter of the shaded region.
  • (i)
    61.71 cm
  • (ii)
    64.71 cm
  • (iii)
    66.71 cm
  • (iv)
    56.71 cm
  • (v)
    58.71 cm
Question 8
8.
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)
    28.93 sq.cm
  • (ii)
    22.93 sq.cm
  • (iii)
    20.93 sq.cm
  • (iv)
    30.93 sq.cm
  • (v)
    25.93 sq.cm
Question 9
9.
In the given figure, ABCD is a square of side 14.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    641.00 sq.cm
  • (ii)
    635.00 sq.cm
  • (iii)
    686.00 sq.cm
  • (iv)
    663.00 sq.cm
  • (v)
    658.00 sq.cm
Question 10
10.
In the given figure, BC = 9 cm and AB = 7 cm. Find the area of the shaded region
  • (i)
    73.64 sq.cm
  • (ii)
    75.64 sq.cm
  • (iii)
    70.64 sq.cm
  • (iv)
    67.64 sq.cm
  • (v)
    65.64 sq.cm
Question 11
11.
In the given figure, BC = 13 cm and AB = 11 cm. Find the perimeter of the shaded region
  • (i)
    91.55 cm
  • (ii)
    89.55 cm
  • (iii)
    97.55 cm
  • (iv)
    94.55 cm
  • (v)
    99.55 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)
    223.43 sq.cm
  • (ii)
    179.43 sq.cm
  • (iii)
    188.43 sq.cm
  • (iv)
    199.43 sq.cm
  • (v)
    195.43 sq.cm
Question 13
13.
In the below figure, two circles with centers O and A touch internally at B. If OB = 18.00 cm and OA = 12.6 cm, find the area of the unshaded region
  • (i)
    944.64 sq.cm
  • (ii)
    926.64 sq.cm
  • (iii)
    910.64 sq.cm
  • (iv)
    931.64 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)
    202.14 sq.cm
  • (ii)
    195.14 sq.cm
  • (iii)
    161.14 sq.cm
  • (iv)
    157.14 sq.cm
  • (v)
    179.14 sq.cm
Question 15
15.
In the below figure, BCPA is a quadrant of a circle. BC = 13.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    84.50 sq.cm
  • (ii)
    81.50 sq.cm
  • (iii)
    87.50 sq.cm
  • (iv)
    79.50 sq.cm
  • (v)
    89.50 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)
    198.50 sq.cm
  • (ii)
    173.50 sq.cm
  • (iii)
    158.50 sq.cm
  • (iv)
    180.50 sq.cm
  • (v)
    206.50 sq.cm
Question 17
17.
In the given figure, find the area of the shaded region
  • (i)
    173.00 sq.cm
  • (ii)
    148.00 sq.cm
  • (iii)
    166.00 sq.cm
  • (iv)
    160.00 sq.cm
  • (v)
    145.00 sq.cm
Question 18
18.
In the given figure, find the area of the shaded region
  • (i)
    308.00 sq.cm
  • (ii)
    328.00 sq.cm
  • (iii)
    336.00 sq.cm
  • (iv)
    341.00 sq.cm
  • (v)
    350.00 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)
    331.57 sq.cm
  • (ii)
    346.57 sq.cm
  • (iii)
    365.57 sq.cm
  • (iv)
    358.57 sq.cm
  • (v)
    353.57 sq.cm
Question 20
20.
In the given figure, find the area of the shaded region
  • (i)
    217.71 sq.cm
  • (ii)
    257.71 sq.cm
  • (iii)
    251.71 sq.cm
  • (iv)
    235.71 sq.cm
  • (v)
    220.71 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 8.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
  • (i)
    201.14 sq.cm
  • (ii)
    195.14 sq.cm
  • (iii)
    226.14 sq.cm
  • (iv)
    189.14 sq.cm
  • (v)
    208.14 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)
    282.00 sq.cm
  • (ii)
    308.00 sq.cm
  • (iii)
    323.00 sq.cm
  • (iv)
    321.00 sq.cm
  • (v)
    302.00 sq.cm
Question 23
23.
Find the area of the shaded region
  • (i)
    64.43 sq.cm
  • (ii)
    69.43 sq.cm
  • (iii)
    66.43 sq.cm
  • (iv)
    74.43 sq.cm
  • (v)
    72.43 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    73.00 sq.cm
  • (ii)
    75.00 sq.cm
  • (iii)
    70.00 sq.cm
  • (iv)
    65.00 sq.cm
  • (v)
    67.00 sq.cm
Question 25
25.
In the given figure, BC = 4.00 cm. Find the area of the shaded region
  • (i)
    216.57 sq.cm
  • (ii)
    165.57 sq.cm
  • (iii)
    188.57 sq.cm
  • (iv)
    202.57 sq.cm
  • (v)
    183.57 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)
    6.78 sq.cm
  • (ii)
    5.78 sq.cm
  • (iii)
    3.78 sq.cm
  • (iv)
    7.78 sq.cm
  • (v)
    4.78 sq.cm
Question 27
27.
In the given figure, ABCD is a square with side 13.00 cm. Find the area of the shaded region
  • (i)
    96.57 sq.cm
  • (ii)
    101.57 sq.cm
  • (iii)
    93.57 sq.cm
  • (iv)
    99.57 sq.cm
  • (v)
    91.57 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 20.00 cm each
  • (i)
    252.57 sq.cm
  • (ii)
    201.57 sq.cm
  • (iii)
    226.57 sq.cm
  • (iv)
    236.57 sq.cm
  • (v)
    228.57 sq.cm
    Assignment Key
  •  1) (i)
  •  2) (ii)
  •  3) (ii)
  •  4) (ii)
  •  5) (v)
  •  6) (iii)
  •  7) (i)
  •  8) (v)
  •  9) (v)
  •  10) (iii)
  •  11) (iv)
  •  12) (v)
  •  13) (ii)
  •  14) (v)
  •  15) (i)
  •  16) (iv)
  •  17) (iv)
  •  18) (iii)
  •  19) (v)
  •  20) (iv)
  •  21) (i)
  •  22) (ii)
  •  23) (ii)
  •  24) (iii)
  •  25) (iii)
  •  26) (ii)
  •  27) (i)
  •  28) (v)