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 17 cm. Find the area of the shaded region
  • (i)
    46.45 sq.cm
  • (ii)
    44.45 sq.cm
  • (iii)
    49.45 sq.cm
  • (iv)
    52.45 sq.cm
  • (v)
    54.45 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 20.00 cm and 17.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    215.36 sq.cm
  • (ii)
    178.36 sq.cm
  • (iii)
    219.36 sq.cm
  • (iv)
    184.36 sq.cm
  • (v)
    201.36 sq.cm
Question 3
3.
In the given figure ,PQRS is the diameter of the circle of radius 4.50 cm and PQ = QR = RS. Find the area of the shaded region
  • (i)
    16.21 sq.cm
  • (ii)
    26.21 sq.cm
  • (iii)
    21.21 sq.cm
  • (iv)
    24.21 sq.cm
  • (v)
    18.21 sq.cm
Question 4
4.
In the given figure ,PQRS is the diameter of the circle of radius 9.00 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • (i)
    59.57 cm
  • (ii)
    53.57 cm
  • (iii)
    51.57 cm
  • (iv)
    61.57 cm
  • (v)
    56.57 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)
    112.08 sq.cm
  • (ii)
    127.08 sq.cm
  • (iii)
    130.08 sq.cm
  • (iv)
    95.08 sq.cm
  • (v)
    90.08 sq.cm
Question 6
6.
In the given figure, ABCD is a square of side 11.00 cm . At the centre there is a circle with radius 2.75 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • (i)
    78.46 sq.cm
  • (ii)
    70.46 sq.cm
  • (iii)
    73.46 sq.cm
  • (iv)
    76.46 sq.cm
  • (v)
    68.46 sq.cm
Question 7
7.
In the given figure, ABCD is a square of side 14.00 cm . At the centre there is a circle with radius 3.50 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.
  • (i)
    67.00 cm
  • (ii)
    69.00 cm
  • (iii)
    77.00 cm
  • (iv)
    72.00 cm
  • (v)
    75.00 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)
    49.86 sq.cm
  • (iv)
    57.86 sq.cm
  • (v)
    54.86 sq.cm
Question 9
9.
In the given figure, ABCD is a square of side 8.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    226.86 sq.cm
  • (ii)
    198.86 sq.cm
  • (iii)
    214.86 sq.cm
  • (iv)
    197.86 sq.cm
  • (v)
    229.86 sq.cm
Question 10
10.
In the given figure, BC = 12 cm and AB = 8 cm. Find the area of the shaded region
  • (i)
    132.43 sq.cm
  • (ii)
    139.43 sq.cm
  • (iii)
    101.43 sq.cm
  • (iv)
    115.43 sq.cm
  • (v)
    108.43 sq.cm
Question 11
11.
In the given figure, BC = 11 cm and AB = 14 cm. Find the perimeter of the shaded region
  • (i)
    101.76 cm
  • (ii)
    98.76 cm
  • (iii)
    93.76 cm
  • (iv)
    95.76 cm
  • (v)
    103.76 cm
Question 12
12.
In the below figure, AB is the diameter of a circle with center O and OA = 18.00 cm . Find the area of the shaded region
  • (i)
    445.71 sq.cm
  • (ii)
    439.71 sq.cm
  • (iii)
    421.71 sq.cm
  • (iv)
    454.71 sq.cm
  • (v)
    435.71 sq.cm
Question 13
13.
In the below figure, two circles with centers O and A touch internally at B. If OB = 11.00 cm and OA = 4.4 cm, find the area of the unshaded region
  • (i)
    268.38 sq.cm
  • (ii)
    230.38 sq.cm
  • (iii)
    243.38 sq.cm
  • (iv)
    249.38 sq.cm
  • (v)
    229.38 sq.cm
Question 14
14.
In the below figure, BCPQ is a quadrant of a circle. BC = 15.00 cm and AB = 10 cm . Find the area of the shaded region
  • (i)
    101.78 sq.cm
  • (ii)
    83.78 sq.cm
  • (iii)
    125.78 sq.cm
  • (iv)
    99.78 sq.cm
  • (v)
    118.78 sq.cm
Question 15
15.
In the below figure, BCPA is a quadrant of a circle. BC = 10.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    50.00 sq.cm
  • (ii)
    53.00 sq.cm
  • (iii)
    55.00 sq.cm
  • (iv)
    47.00 sq.cm
  • (v)
    45.00 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)
    128.00 sq.cm
  • (ii)
    152.00 sq.cm
  • (iii)
    116.00 sq.cm
  • (iv)
    141.00 sq.cm
  • (v)
    113.00 sq.cm
Question 17
17.
In the given figure, find the area of the shaded region
  • (i)
    130.00 sq.cm
  • (ii)
    116.00 sq.cm
  • (iii)
    144.00 sq.cm
  • (iv)
    157.00 sq.cm
  • (v)
    156.00 sq.cm
Question 18
18.
In the given figure, find the area of the shaded region
  • (i)
    153.00 sq.cm
  • (ii)
    132.00 sq.cm
  • (iii)
    140.00 sq.cm
  • (iv)
    166.00 sq.cm
  • (v)
    128.00 sq.cm
Question 19
19.
In the given figure, d = 18.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    493.14 sq.cm
  • (ii)
    509.14 sq.cm
  • (iii)
    534.14 sq.cm
  • (iv)
    497.14 sq.cm
  • (v)
    515.14 sq.cm
Question 20
20.
In the given figure, find the area of the shaded region
  • (i)
    462.00 sq.cm
  • (ii)
    475.00 sq.cm
  • (iii)
    434.00 sq.cm
  • (iv)
    459.00 sq.cm
  • (v)
    484.00 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 4.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
  • (i)
    55.29 sq.cm
  • (ii)
    53.29 sq.cm
  • (iii)
    47.29 sq.cm
  • (iv)
    50.29 sq.cm
  • (v)
    45.29 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)
    139.14 sq.cm
  • (ii)
    169.14 sq.cm
  • (iii)
    157.14 sq.cm
  • (iv)
    144.14 sq.cm
  • (v)
    160.14 sq.cm
Question 23
23.
Find the area of the shaded region
  • (i)
    25.86 sq.cm
  • (ii)
    35.86 sq.cm
  • (iii)
    33.86 sq.cm
  • (iv)
    30.86 sq.cm
  • (v)
    27.86 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 = 4.00 cm. Find the area of the shaded region
  • (i)
    188.57 sq.cm
  • (ii)
    205.57 sq.cm
  • (iii)
    170.57 sq.cm
  • (iv)
    191.57 sq.cm
  • (v)
    182.57 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)
    10.01 sq.cm
  • (ii)
    8.01 sq.cm
  • (iii)
    18.01 sq.cm
  • (iv)
    13.01 sq.cm
  • (v)
    16.01 sq.cm
Question 27
27.
In the given figure, ABCD is a square with side 14.00 cm. Find the area of the shaded region
  • (i)
    129.00 sq.cm
  • (ii)
    96.00 sq.cm
  • (iii)
    112.00 sq.cm
  • (iv)
    117.00 sq.cm
  • (v)
    90.00 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 14.00 cm each
  • (i)
    127.00 sq.cm
  • (ii)
    110.00 sq.cm
  • (iii)
    128.00 sq.cm
  • (iv)
    86.00 sq.cm
  • (v)
    112.00 sq.cm
    Assignment Key
  •  1) (iii)
  •  2) (v)
  •  3) (iii)
  •  4) (v)
  •  5) (i)
  •  6) (iii)
  •  7) (iv)
  •  8) (v)
  •  9) (iii)
  •  10) (iv)
  •  11) (ii)
  •  12) (ii)
  •  13) (iii)
  •  14) (i)
  •  15) (i)
  •  16) (i)
  •  17) (iii)
  •  18) (iii)
  •  19) (ii)
  •  20) (i)
  •  21) (iv)
  •  22) (iii)
  •  23) (iv)
  •  24) (v)
  •  25) (i)
  •  26) (iv)
  •  27) (iii)
  •  28) (v)