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 20 cm. Find the area of the shaded region
  • (i)
    71.44 sq.cm
  • (ii)
    68.44 sq.cm
  • (iii)
    63.44 sq.cm
  • (iv)
    73.44 sq.cm
  • (v)
    65.44 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 20.00 cm and 16.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    195.43 sq.cm
  • (ii)
    207.43 sq.cm
  • (iii)
    182.43 sq.cm
  • (iv)
    168.43 sq.cm
  • (v)
    209.43 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)
    75.43 sq.cm
  • (ii)
    72.43 sq.cm
  • (iii)
    70.43 sq.cm
  • (iv)
    80.43 sq.cm
  • (v)
    78.43 sq.cm
Question 4
4.
In the given figure ,PQRS is the diameter of the circle of radius 3.00 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • (i)
    21.86 cm
  • (ii)
    18.86 cm
  • (iii)
    23.86 cm
  • (iv)
    15.86 cm
  • (v)
    13.86 cm
Question 5
5.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 15 and EB = 2.6 , find the area of the remaining portion
  • (i)
    62.72 sq.cm
  • (ii)
    72.72 sq.cm
  • (iii)
    64.72 sq.cm
  • (iv)
    70.72 sq.cm
  • (v)
    67.72 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)
    76.46 sq.cm
  • (ii)
    78.46 sq.cm
  • (iii)
    68.46 sq.cm
  • (iv)
    70.46 sq.cm
  • (v)
    73.46 sq.cm
Question 7
7.
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 perimeter of the shaded region.
  • (i)
    87.43 cm
  • (ii)
    82.43 cm
  • (iii)
    92.43 cm
  • (iv)
    90.43 cm
  • (v)
    84.43 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)
    26.43 sq.cm
  • (ii)
    18.43 sq.cm
  • (iii)
    21.43 sq.cm
  • (iv)
    24.43 sq.cm
  • (v)
    16.43 sq.cm
Question 9
9.
In the given figure, ABCD is a square of side 12.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    467.43 sq.cm
  • (ii)
    475.43 sq.cm
  • (iii)
    496.43 sq.cm
  • (iv)
    510.43 sq.cm
  • (v)
    483.43 sq.cm
Question 10
10.
In the given figure, BC = 11 cm and AB = 7 cm. Find the area of the shaded region
  • (i)
    100.07 sq.cm
  • (ii)
    95.07 sq.cm
  • (iii)
    92.07 sq.cm
  • (iv)
    90.07 sq.cm
  • (v)
    98.07 sq.cm
Question 11
11.
In the given figure, BC = 13 cm and AB = 9 cm. Find the perimeter of the shaded region
  • (i)
    87.50 cm
  • (ii)
    82.50 cm
  • (iii)
    84.50 cm
  • (iv)
    92.50 cm
  • (v)
    90.50 cm
Question 12
12.
In the below figure, AB is the diameter of a circle with center O and OA = 15.00 cm . Find the area of the shaded region
  • (i)
    313.36 sq.cm
  • (ii)
    289.36 sq.cm
  • (iii)
    305.36 sq.cm
  • (iv)
    328.36 sq.cm
  • (v)
    292.36 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 = 9 cm, find the area of the unshaded region
  • (i)
    571.00 sq.cm
  • (ii)
    598.00 sq.cm
  • (iii)
    622.00 sq.cm
  • (iv)
    594.00 sq.cm
  • (v)
    588.00 sq.cm
Question 14
14.
In the below figure, BCPQ is a quadrant of a circle. BC = 15.00 cm and AB = 12 cm . Find the area of the shaded region
  • (i)
    89.78 sq.cm
  • (ii)
    81.78 sq.cm
  • (iii)
    86.78 sq.cm
  • (iv)
    83.78 sq.cm
  • (v)
    91.78 sq.cm
Question 15
15.
In the below figure, BCPA is a quadrant of a circle. BC = 12.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    72.00 sq.cm
  • (ii)
    69.00 sq.cm
  • (iii)
    77.00 sq.cm
  • (iv)
    75.00 sq.cm
  • (v)
    67.00 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)
    180.50 sq.cm
  • (ii)
    156.50 sq.cm
  • (iii)
    197.50 sq.cm
  • (iv)
    176.50 sq.cm
Question 17
17.
In the given figure, find the area of the shaded region
  • (i)
    70.00 sq.cm
  • (ii)
    65.00 sq.cm
  • (iii)
    68.00 sq.cm
  • (iv)
    60.00 sq.cm
  • (v)
    62.00 sq.cm
Question 18
18.
In the given figure, find the area of the shaded region
  • (i)
    90.00 sq.cm
  • (ii)
    136.00 sq.cm
  • (iii)
    129.00 sq.cm
  • (iv)
    112.00 sq.cm
  • (v)
    105.00 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)
    226.29 sq.cm
  • (ii)
    234.29 sq.cm
  • (iii)
    198.29 sq.cm
  • (iv)
    212.29 sq.cm
  • (v)
    249.29 sq.cm
Question 20
20.
In the given figure, find the area of the shaded region
  • (i)
    258.71 sq.cm
  • (ii)
    221.71 sq.cm
  • (iii)
    235.71 sq.cm
  • (iv)
    247.71 sq.cm
  • (v)
    207.71 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)
    219.14 sq.cm
  • (ii)
    184.14 sq.cm
  • (iii)
    216.14 sq.cm
  • (iv)
    201.14 sq.cm
  • (v)
    178.14 sq.cm
Question 22
22.
The given figure consists of two quarter circles each of radius 20.00 cm and four semi-circles each of radius 10.00 cm. Find the area of the shaded region
  • (i)
    628.57 sq.cm
  • (ii)
    655.57 sq.cm
  • (iii)
    602.57 sq.cm
  • (iv)
    620.57 sq.cm
  • (v)
    642.57 sq.cm
Question 23
23.
Find the area of the shaded region
  • (i)
    45.21 sq.cm
  • (ii)
    43.21 sq.cm
  • (iii)
    48.21 sq.cm
  • (iv)
    53.21 sq.cm
  • (v)
    51.21 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    124.43 sq.cm
  • (ii)
    109.43 sq.cm
  • (iii)
    93.43 sq.cm
  • (iv)
    121.43 sq.cm
  • (v)
    144.43 sq.cm
Question 25
25.
In the given figure, BC = 7.00 cm. Find the area of the shaded region
  • (i)
    601.50 sq.cm
  • (ii)
    580.50 sq.cm
  • (iii)
    562.50 sq.cm
  • (iv)
    561.50 sq.cm
  • (v)
    577.50 sq.cm
Question 26
26.
In the given figure △ABC is an equilateral triangle whose area is 43.3 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)
    5.02 sq.cm
  • (ii)
    2.02 sq.cm
  • (iii)
    6.02 sq.cm
  • (iv)
    3.02 sq.cm
  • (v)
    4.02 sq.cm
Question 27
27.
In the given figure, ABCD is a square with side 19.00 cm. Find the area of the shaded region
  • (i)
    204.29 sq.cm
  • (ii)
    180.29 sq.cm
  • (iii)
    206.29 sq.cm
  • (iv)
    213.29 sq.cm
  • (v)
    228.29 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 15.00 cm each
  • (i)
    112.57 sq.cm
  • (ii)
    105.57 sq.cm
  • (iii)
    128.57 sq.cm
  • (iv)
    140.57 sq.cm
    Assignment Key
  •  1) (ii)
  •  2) (i)
  •  3) (i)
  •  4) (ii)
  •  5) (v)
  •  6) (v)
  •  7) (i)
  •  8) (iii)
  •  9) (v)
  •  10) (ii)
  •  11) (i)
  •  12) (iii)
  •  13) (iv)
  •  14) (iii)
  •  15) (i)
  •  16) (i)
  •  17) (ii)
  •  18) (iv)
  •  19) (i)
  •  20) (iii)
  •  21) (iv)
  •  22) (i)
  •  23) (iii)
  •  24) (iv)
  •  25) (v)
  •  26) (v)
  •  27) (iii)
  •  28) (iii)