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)
    87.52 sq.cm
  • (ii)
    85.52 sq.cm
  • (iii)
    95.52 sq.cm
  • (iv)
    93.52 sq.cm
  • (v)
    90.52 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 17.00 cm and 14.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    131.07 sq.cm
  • (ii)
    157.07 sq.cm
  • (iii)
    130.07 sq.cm
  • (iv)
    143.07 sq.cm
  • (v)
    156.07 sq.cm
Question 3
3.
In the given figure ,PQRS is the diameter of the circle of radius 10.50 cm and PQ = QR = RS. Find the area of the shaded region
  • (i)
    206.00 sq.cm
  • (ii)
    218.00 sq.cm
  • (iii)
    249.00 sq.cm
  • (iv)
    231.00 sq.cm
  • (v)
    245.00 sq.cm
Question 4
4.
In the given figure ,PQRS is the diameter of the circle of radius 4.50 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • (i)
    23.29 cm
  • (ii)
    28.29 cm
  • (iii)
    31.29 cm
  • (iv)
    25.29 cm
  • (v)
    33.29 cm
Question 5
5.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 17 and EB = 4.6 , find the area of the remaining portion
  • (i)
    75.03 sq.cm
  • (ii)
    101.03 sq.cm
  • (iii)
    103.03 sq.cm
  • (iv)
    117.03 sq.cm
  • (v)
    94.03 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)
    183.46 sq.cm
  • (ii)
    175.46 sq.cm
  • (iii)
    201.46 sq.cm
  • (iv)
    160.46 sq.cm
  • (v)
    169.46 sq.cm
Question 7
7.
In the given figure, ABCD is a square of side 15.00 cm . At the centre there is a circle with radius 3.75 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.
  • (i)
    74.14 cm
  • (ii)
    82.14 cm
  • (iii)
    72.14 cm
  • (iv)
    80.14 cm
  • (v)
    77.14 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)
    21.43 sq.cm
  • (iii)
    24.43 sq.cm
  • (iv)
    16.43 sq.cm
  • (v)
    18.43 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)
    476.43 sq.cm
  • (ii)
    498.43 sq.cm
  • (iii)
    509.43 sq.cm
  • (iv)
    483.43 sq.cm
  • (v)
    456.43 sq.cm
Question 10
10.
In the given figure, BC = 13 cm and AB = 11 cm. Find the area of the shaded region
  • (i)
    156.36 sq.cm
  • (ii)
    138.36 sq.cm
  • (iii)
    173.36 sq.cm
  • (iv)
    134.36 sq.cm
Question 11
11.
In the given figure, BC = 10 cm and AB = 7 cm. Find the perimeter of the shaded region
  • (i)
    64.57 cm
  • (ii)
    70.57 cm
  • (iii)
    67.57 cm
  • (iv)
    72.57 cm
  • (v)
    62.57 cm
Question 12
12.
In the below figure, AB is the diameter of a circle with center O and OA = 11.00 cm . Find the area of the shaded region
  • (i)
    179.21 sq.cm
  • (ii)
    158.21 sq.cm
  • (iii)
    164.21 sq.cm
  • (iv)
    177.21 sq.cm
  • (v)
    146.21 sq.cm
Question 13
13.
In the below figure, two circles with centers O and A touch internally at B. If OB = 20.00 cm and OA = 12 cm, find the area of the unshaded region
  • (i)
    1326.00 sq.cm
  • (ii)
    1016.00 sq.cm
  • (iii)
    896.00 sq.cm
  • (iv)
    1076.00 sq.cm
  • (v)
    1056.00 sq.cm
Question 14
14.
In the below figure, BPQA is a quadrant of a circle. AB = 15.00 cm and BC = 14 cm . Find the area of the shaded region
  • (i)
    66.78 sq.cm
  • (ii)
    74.78 sq.cm
  • (iii)
    71.78 sq.cm
  • (iv)
    68.78 sq.cm
  • (v)
    76.78 sq.cm
Question 15
15.
In the below figure, BCPA is a quadrant of a circle. BC = 16.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    101.00 sq.cm
  • (ii)
    143.00 sq.cm
  • (iii)
    128.00 sq.cm
  • (iv)
    156.00 sq.cm
  • (v)
    120.00 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)
    186.50 sq.cm
  • (iii)
    197.50 sq.cm
  • (iv)
    168.50 sq.cm
  • (v)
    155.50 sq.cm
Question 17
17.
In the given figure, find the area of the shaded region
  • (i)
    116.00 sq.cm
  • (ii)
    100.00 sq.cm
  • (iii)
    87.00 sq.cm
  • (iv)
    125.00 sq.cm
  • (v)
    102.00 sq.cm
Question 18
18.
In the given figure, find the area of the shaded region
  • (i)
    277.50 sq.cm
  • (ii)
    296.50 sq.cm
  • (iii)
    320.50 sq.cm
  • (iv)
    279.50 sq.cm
  • (v)
    292.50 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)
    513.14 sq.cm
  • (ii)
    527.14 sq.cm
  • (iii)
    497.14 sq.cm
  • (iv)
    506.14 sq.cm
  • (v)
    509.14 sq.cm
Question 20
20.
In the given figure, find the area of the shaded region
  • (i)
    775.71 sq.cm
  • (ii)
    751.71 sq.cm
  • (iii)
    779.71 sq.cm
  • (iv)
    763.71 sq.cm
  • (v)
    738.71 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)
    199.14 sq.cm
  • (ii)
    207.14 sq.cm
  • (iii)
    176.14 sq.cm
  • (iv)
    223.14 sq.cm
  • (v)
    201.14 sq.cm
Question 22
22.
The given figure consists of two quarter circles each of radius 18.00 cm and four semi-circles each of radius 9.00 cm. Find the area of the shaded region
  • (i)
    491.14 sq.cm
  • (ii)
    509.14 sq.cm
  • (iii)
    536.14 sq.cm
  • (iv)
    522.14 sq.cm
Question 23
23.
Find the area of the shaded region
  • (i)
    22.93 sq.cm
  • (ii)
    28.93 sq.cm
  • (iii)
    20.93 sq.cm
  • (iv)
    30.93 sq.cm
  • (v)
    25.93 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    38.43 sq.cm
  • (ii)
    44.43 sq.cm
  • (iii)
    46.43 sq.cm
  • (iv)
    41.43 sq.cm
  • (v)
    36.43 sq.cm
Question 25
25.
In the given figure, BC = 10.00 cm. Find the area of the shaded region
  • (i)
    1118.57 sq.cm
  • (ii)
    918.57 sq.cm
  • (iii)
    1198.57 sq.cm
  • (iv)
    1398.57 sq.cm
  • (v)
    1178.57 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)
    8.01 sq.cm
  • (ii)
    16.01 sq.cm
  • (iii)
    10.01 sq.cm
  • (iv)
    13.01 sq.cm
  • (v)
    18.01 sq.cm
Question 27
27.
In the given figure, ABCD is a square with side 16.00 cm. Find the area of the shaded region
  • (i)
    170.29 sq.cm
  • (ii)
    146.29 sq.cm
  • (iii)
    153.29 sq.cm
  • (iv)
    128.29 sq.cm
  • (v)
    131.29 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 14.00 cm each
  • (i)
    116.00 sq.cm
  • (ii)
    128.00 sq.cm
  • (iii)
    99.00 sq.cm
  • (iv)
    112.00 sq.cm
    Assignment Key
  •  1) (v)
  •  2) (iv)
  •  3) (iv)
  •  4) (ii)
  •  5) (ii)
  •  6) (ii)
  •  7) (v)
  •  8) (ii)
  •  9) (iv)
  •  10) (i)
  •  11) (iii)
  •  12) (iii)
  •  13) (v)
  •  14) (iii)
  •  15) (iii)
  •  16) (i)
  •  17) (v)
  •  18) (v)
  •  19) (v)
  •  20) (iv)
  •  21) (v)
  •  22) (ii)
  •  23) (v)
  •  24) (iv)
  •  25) (v)
  •  26) (iv)
  •  27) (ii)
  •  28) (iv)