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 18 cm. Find the area of the shaded region
  • (i)
    55.44 sq.cm
  • (ii)
    60.44 sq.cm
  • (iii)
    58.44 sq.cm
  • (iv)
    50.44 sq.cm
  • (v)
    52.44 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 16.00 cm and 15.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    141.93 sq.cm
  • (ii)
    154.93 sq.cm
  • (iii)
    113.93 sq.cm
  • (iv)
    122.93 sq.cm
  • (v)
    137.93 sq.cm
Question 3
3.
In the given figure ,PQRS is the diameter of the circle of radius 3.00 cm and PQ = QR = RS. Find the area of the shaded region
  • (i)
    9.43 sq.cm
  • (ii)
    7.43 sq.cm
  • (iii)
    10.43 sq.cm
  • (iv)
    8.43 sq.cm
  • (v)
    11.43 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)
    32.71 cm
  • (iii)
    34.71 cm
  • (iv)
    40.71 cm
  • (v)
    42.71 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 = 3.3 , find the area of the remaining portion
  • (i)
    40.93 sq.cm
  • (ii)
    34.93 sq.cm
  • (iii)
    37.93 sq.cm
  • (iv)
    42.93 sq.cm
  • (v)
    32.93 sq.cm
Question 6
6.
In the given figure, ABCD is a square of side 18.00 cm . At the centre there is a circle with radius 4.50 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • (i)
    196.71 sq.cm
  • (ii)
    210.71 sq.cm
  • (iii)
    219.71 sq.cm
  • (iv)
    188.71 sq.cm
  • (v)
    168.71 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)
    97.71 cm
  • (ii)
    92.71 cm
  • (iii)
    102.71 cm
  • (iv)
    100.71 cm
  • (v)
    94.71 cm
Question 8
8.
In the given figure, ABCD is a square of side 19.00 cm and A, B, C, D are the centres of circular arcs, each of radius 9.50 cm. Find the area of the shaded region
  • (i)
    74.36 sq.cm
  • (ii)
    80.36 sq.cm
  • (iii)
    82.36 sq.cm
  • (iv)
    72.36 sq.cm
  • (v)
    77.36 sq.cm
Question 9
9.
In the given figure, ABCD is a square of side 9.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    293.93 sq.cm
  • (ii)
    284.93 sq.cm
  • (iii)
    256.93 sq.cm
  • (iv)
    244.93 sq.cm
  • (v)
    271.93 sq.cm
Question 10
10.
In the given figure, BC = 7 cm and AB = 14 cm. Find the area of the shaded region
  • (i)
    121.50 sq.cm
  • (ii)
    157.50 sq.cm
  • (iii)
    138.50 sq.cm
  • (iv)
    143.50 sq.cm
  • (v)
    169.50 sq.cm
Question 11
11.
In the given figure, BC = 6 cm and AB = 14 cm. Find the perimeter of the shaded region
  • (i)
    78.10 cm
  • (ii)
    80.10 cm
  • (iii)
    83.10 cm
  • (iv)
    86.10 cm
  • (v)
    88.10 cm
Question 12
12.
In the below figure, AB is the diameter of a circle with center O and OA = 13.00 cm . Find the area of the shaded region
  • (i)
    229.36 sq.cm
  • (ii)
    216.36 sq.cm
  • (iii)
    245.36 sq.cm
  • (iv)
    252.36 sq.cm
  • (v)
    211.36 sq.cm
Question 13
13.
In the below figure, two circles with centers O and A touch internally at B. If OB = 15.00 cm and OA = 4.5 cm, find the area of the unshaded region
  • (i)
    387.64 sq.cm
  • (ii)
    334.64 sq.cm
  • (iii)
    354.64 sq.cm
  • (iv)
    365.64 sq.cm
  • (v)
    360.64 sq.cm
Question 14
14.
In the below figure, BPQA is a quadrant of a circle. AB = 20.00 cm and BC = 17 cm . Find the area of the shaded region
  • (i)
    144.28 sq.cm
  • (ii)
    132.28 sq.cm
  • (iii)
    152.28 sq.cm
  • (iv)
    138.28 sq.cm
  • (v)
    161.28 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)
    176.00 sq.cm
  • (ii)
    139.00 sq.cm
  • (iii)
    162.00 sq.cm
  • (iv)
    174.00 sq.cm
  • (v)
    150.00 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)
    115.00 sq.cm
  • (ii)
    128.00 sq.cm
  • (iii)
    116.00 sq.cm
  • (iv)
    151.00 sq.cm
  • (v)
    146.00 sq.cm
Question 17
17.
In the given figure, find the area of the shaded region
  • (i)
    160.00 sq.cm
  • (ii)
    153.00 sq.cm
  • (iii)
    185.00 sq.cm
  • (iv)
    133.00 sq.cm
  • (v)
    176.00 sq.cm
Question 18
18.
In the given figure, find the area of the shaded region
  • (i)
    278.50 sq.cm
  • (ii)
    310.50 sq.cm
  • (iii)
    279.50 sq.cm
  • (iv)
    292.50 sq.cm
  • (v)
    307.50 sq.cm
Question 19
19.
In the given figure, d = 14.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    315.00 sq.cm
  • (ii)
    304.00 sq.cm
  • (iii)
    296.00 sq.cm
  • (iv)
    323.00 sq.cm
  • (v)
    308.00 sq.cm
Question 20
20.
In the given figure, find the area of the shaded region
  • (i)
    475.00 sq.cm
  • (ii)
    467.00 sq.cm
  • (iii)
    454.00 sq.cm
  • (iv)
    439.00 sq.cm
  • (v)
    462.00 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 12.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
  • (i)
    466.57 sq.cm
  • (ii)
    452.57 sq.cm
  • (iii)
    424.57 sq.cm
  • (iv)
    440.57 sq.cm
  • (v)
    455.57 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)
    313.00 sq.cm
  • (iii)
    326.00 sq.cm
  • (iv)
    301.00 sq.cm
  • (v)
    308.00 sq.cm
Question 23
23.
Find the area of the shaded region
  • (i)
    51.86 sq.cm
  • (ii)
    57.86 sq.cm
  • (iii)
    59.86 sq.cm
  • (iv)
    49.86 sq.cm
  • (v)
    54.86 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    46.43 sq.cm
  • (ii)
    38.43 sq.cm
  • (iii)
    44.43 sq.cm
  • (iv)
    41.43 sq.cm
  • (v)
    36.43 sq.cm
Question 25
25.
In the given figure, BC = 6.00 cm. Find the area of the shaded region
  • (i)
    418.29 sq.cm
  • (ii)
    424.29 sq.cm
  • (iii)
    397.29 sq.cm
  • (iv)
    446.29 sq.cm
  • (v)
    439.29 sq.cm
Question 26
26.
In the given figure △ABC is an equilateral triangle whose area is 52.39 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)
    4.86 sq.cm
  • (ii)
    6.86 sq.cm
  • (iii)
    2.86 sq.cm
  • (iv)
    5.86 sq.cm
  • (v)
    3.86 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)
    242.57 sq.cm
  • (iii)
    255.57 sq.cm
  • (iv)
    224.57 sq.cm
  • (v)
    211.57 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 17.00 cm each
  • (i)
    161.14 sq.cm
  • (ii)
    172.14 sq.cm
  • (iii)
    165.14 sq.cm
  • (iv)
    137.14 sq.cm
  • (v)
    181.14 sq.cm
    Assignment Key
  •  1) (i)
  •  2) (v)
  •  3) (i)
  •  4) (i)
  •  5) (iii)
  •  6) (i)
  •  7) (i)
  •  8) (v)
  •  9) (v)
  •  10) (iv)
  •  11) (iii)
  •  12) (i)
  •  13) (v)
  •  14) (i)
  •  15) (iii)
  •  16) (ii)
  •  17) (i)
  •  18) (iv)
  •  19) (v)
  •  20) (v)
  •  21) (ii)
  •  22) (v)
  •  23) (v)
  •  24) (iv)
  •  25) (ii)
  •  26) (i)
  •  27) (i)
  •  28) (iii)