EduSahara™ Assignment
Name : Areas of Combinations of Plane Figures
Chapter : Circumference and Area of a Circle
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 30 cm. Find the area of the shaded region
  • (i)
    166.00 sq.cm
  • (ii)
    147.00 sq.cm
  • (iii)
    154.00 sq.cm
  • (iv)
    170.00 sq.cm
  • (v)
    130.00 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 19.00 cm and 16.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    185.79 sq.cm
  • (ii)
    166.79 sq.cm
  • (iii)
    180.79 sq.cm
  • (iv)
    208.79 sq.cm
  • (v)
    154.79 sq.cm
Question 3
3.
In the given figure, the radius of the circle is 7 cm. Find the area of the minor sector
  • (i)
    38.50 sq.cm
  • (ii)
    33.50 sq.cm
  • (iii)
    41.50 sq.cm
  • (iv)
    43.50 sq.cm
  • (v)
    35.50 sq.cm
Question 4
4.
In the given figure, the radius of the circle is 11 cm. Find the area of the major sector
  • (i)
    271.21 sq.cm
  • (ii)
    298.21 sq.cm
  • (iii)
    291.21 sq.cm
  • (iv)
    285.21 sq.cm
  • (v)
    280.21 sq.cm
Question 5
5.
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)
    39.43 sq.cm
  • (ii)
    37.43 sq.cm
  • (iii)
    45.43 sq.cm
  • (iv)
    47.43 sq.cm
  • (v)
    42.43 sq.cm
Question 6
6.
In the given figure ,PQRS is the diameter of the circle of radius 12.00 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • (i)
    70.43 cm
  • (ii)
    80.43 cm
  • (iii)
    78.43 cm
  • (iv)
    75.43 cm
  • (v)
    72.43 cm
Question 7
7.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 12 and EB = 4.1 , find the area of the remaining portion
  • (i)
    58.46 sq.cm
  • (ii)
    60.46 sq.cm
  • (iii)
    55.46 sq.cm
  • (iv)
    52.46 sq.cm
  • (v)
    50.46 sq.cm
Question 8
8.
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 area of the shaded region.
  • (i)
    202.18 sq.cm
  • (ii)
    235.18 sq.cm
  • (iii)
    219.18 sq.cm
  • (iv)
    237.18 sq.cm
  • (v)
    204.18 sq.cm
Question 9
9.
In the given figure, ABCD is a square of side 20.00 cm . At the centre there is a circle with radius 5.00 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.
  • (i)
    75.86 cm
  • (ii)
    84.86 cm
  • (iii)
    125.86 cm
  • (iv)
    102.86 cm
  • (v)
    117.86 cm
Question 10
10.
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)
    54.86 sq.cm
  • (ii)
    59.86 sq.cm
  • (iii)
    51.86 sq.cm
  • (iv)
    57.86 sq.cm
  • (v)
    49.86 sq.cm
Question 11
11.
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)
    190.86 sq.cm
  • (ii)
    240.86 sq.cm
  • (iii)
    214.86 sq.cm
  • (iv)
    216.86 sq.cm
  • (v)
    207.86 sq.cm
Question 12
12.
In the given figure, BC = 10 cm and AB = 7 cm. Find the area of the shaded region
  • (i)
    82.07 sq.cm
  • (ii)
    77.07 sq.cm
  • (iii)
    85.07 sq.cm
  • (iv)
    79.07 sq.cm
  • (v)
    87.07 sq.cm
Question 13
13.
In the given figure, BC = 14 cm and AB = 6 cm. Find the perimeter of the shaded region
  • (i)
    83.10 cm
  • (ii)
    80.10 cm
  • (iii)
    78.10 cm
  • (iv)
    86.10 cm
  • (v)
    88.10 cm
Question 14
14.
In the below figure, AB is the diameter of a circle with center O and OA = 20.00 cm . Find the area of the shaded region
  • (i)
    547.86 sq.cm
  • (ii)
    542.86 sq.cm
  • (iii)
    566.86 sq.cm
  • (iv)
    535.86 sq.cm
  • (v)
    528.86 sq.cm
Question 15
15.
In the below figure, two circles with centers O and A touch internally at B. If OB = 10.00 cm and OA = 6 cm, find the area of the unshaded region
  • (i)
    239.00 sq.cm
  • (ii)
    264.00 sq.cm
  • (iii)
    287.00 sq.cm
  • (iv)
    260.00 sq.cm
  • (v)
    276.00 sq.cm
Question 16
16.
In the below figure, BCPQ is a quadrant of a circle. BC = 18.00 cm and AB = 15 cm . Find the area of the shaded region
  • (i)
    137.57 sq.cm
  • (ii)
    119.57 sq.cm
  • (iii)
    136.57 sq.cm
  • (iv)
    101.57 sq.cm
  • (v)
    94.57 sq.cm
Question 17
17.
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)
    87.50 sq.cm
  • (ii)
    84.50 sq.cm
  • (iii)
    81.50 sq.cm
  • (iv)
    89.50 sq.cm
  • (v)
    79.50 sq.cm
Question 18
18.
In the given figure, d = 14.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    300.00 sq.cm
  • (ii)
    312.00 sq.cm
  • (iii)
    284.00 sq.cm
  • (iv)
    331.00 sq.cm
  • (v)
    308.00 sq.cm
Question 19
19.
In the given figure, find the area of the shaded region
  • (i)
    709.21 sq.cm
  • (ii)
    665.21 sq.cm
  • (iii)
    656.21 sq.cm
  • (iv)
    687.21 sq.cm
  • (v)
    681.21 sq.cm
Question 20
20.
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 10.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
  • (i)
    336.29 sq.cm
  • (ii)
    318.29 sq.cm
  • (iii)
    314.29 sq.cm
  • (iv)
    296.29 sq.cm
  • (v)
    287.29 sq.cm
Question 21
21.
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)
    612.57 sq.cm
  • (ii)
    646.57 sq.cm
  • (iii)
    606.57 sq.cm
  • (iv)
    641.57 sq.cm
  • (v)
    628.57 sq.cm
Question 22
22.
In the given figure, the width of the circular path is 10.00 m. Find the area of the shaded region
  • (i)
    1222.86 sq.m
  • (ii)
    1342.86 sq.m
  • (iii)
    912.86 sq.m
  • (iv)
    1162.86 sq.m
  • (v)
    1092.86 sq.m
Question 23
23.
Find the area of the shaded region
  • (i)
    45.00 sq.cm
  • (ii)
    47.00 sq.cm
  • (iii)
    39.00 sq.cm
  • (iv)
    37.00 sq.cm
  • (v)
    42.00 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    81.43 sq.cm
  • (ii)
    76.43 sq.cm
  • (iii)
    78.43 sq.cm
  • (iv)
    86.43 sq.cm
  • (v)
    84.43 sq.cm
Question 25
25.
Find the area of the shaded region
  • (i)
    280.86 sq.cm
  • (ii)
    264.86 sq.cm
  • (iii)
    282.86 sq.cm
  • (iv)
    295.86 sq.cm
Question 26
26.
In the given figure, BC = 7.00 cm. Find the area of the shaded region
  • (i)
    562.50 sq.cm
  • (ii)
    590.50 sq.cm
  • (iii)
    559.50 sq.cm
  • (iv)
    577.50 sq.cm
  • (v)
    604.50 sq.cm
Question 27
27.
In the given figure, arcs of two concentric circles of radii 18.00 cm and 7.20 cm are drawn with center O. If ∠EOF = 80°, find the area of the shaded region
  • (i)
    215.08 sq.cm
  • (ii)
    192.08 sq.cm
  • (iii)
    176.08 sq.cm
  • (iv)
    178.08 sq.cm
  • (v)
    190.08 sq.cm
Question 28
28.
In the given figure △ABC is an equilateral triangle whose area is 97.43 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)
    8.04 sq.cm
  • (ii)
    7.04 sq.cm
  • (iii)
    9.04 sq.cm
  • (iv)
    10.04 sq.cm
  • (v)
    11.04 sq.cm
Question 29
29.
In the given figure, ABCD is a square with side 16.00 cm. Find the area of the shaded region
  • (i)
    146.29 sq.cm
  • (ii)
    164.29 sq.cm
  • (iii)
    143.29 sq.cm
  • (iv)
    120.29 sq.cm
  • (v)
    171.29 sq.cm
Question 30
30.
Find the area of the shaded region in the given figure common between the two quadrants of circles of radius 10.00 cm each
  • (i)
    54.14 sq.cm
  • (ii)
    57.14 sq.cm
  • (iii)
    60.14 sq.cm
  • (iv)
    62.14 sq.cm
  • (v)
    52.14 sq.cm
    Assignment Key
  •  1) (iii)
  •  2) (iii)
  •  3) (i)
  •  4) (iv)
  •  5) (v)
  •  6) (iv)
  •  7) (iii)
  •  8) (iii)
  •  9) (iv)
  •  10) (i)
  •  11) (iii)
  •  12) (i)
  •  13) (i)
  •  14) (ii)
  •  15) (ii)
  •  16) (ii)
  •  17) (ii)
  •  18) (v)
  •  19) (v)
  •  20) (iii)
  •  21) (v)
  •  22) (iv)
  •  23) (v)
  •  24) (i)
  •  25) (iii)
  •  26) (iv)
  •  27) (v)
  •  28) (iii)
  •  29) (i)
  •  30) (ii)