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 24 cm. Find the area of the shaded region
  • (i)
    98.56 sq.cm
  • (ii)
    103.56 sq.cm
  • (iii)
    93.56 sq.cm
  • (iv)
    101.56 sq.cm
  • (v)
    95.56 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 20.00 cm and 13.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    187.07 sq.cm
  • (ii)
    213.07 sq.cm
  • (iii)
    159.07 sq.cm
  • (iv)
    201.07 sq.cm
  • (v)
    184.07 sq.cm
Question 3
3.
In the given figure, the radius of the circle is 11 cm. Find the area of the minor sector
  • (i)
    92.07 sq.cm
  • (ii)
    100.07 sq.cm
  • (iii)
    98.07 sq.cm
  • (iv)
    90.07 sq.cm
  • (v)
    95.07 sq.cm
Question 4
4.
In the given figure, the radius of the circle is 13 cm. Find the area of the major sector
  • (i)
    392.36 sq.cm
  • (ii)
    411.36 sq.cm
  • (iii)
    380.36 sq.cm
  • (iv)
    398.36 sq.cm
Question 5
5.
In the given figure ,PQRS is the diameter of the circle of radius 7.50 cm and PQ = QR = RS. Find the area of the shaded region
  • (i)
    63.93 sq.cm
  • (ii)
    53.93 sq.cm
  • (iii)
    58.93 sq.cm
  • (iv)
    61.93 sq.cm
  • (v)
    55.93 sq.cm
Question 6
6.
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)
    18.86 cm
  • (ii)
    21.86 cm
  • (iii)
    23.86 cm
  • (iv)
    13.86 cm
  • (v)
    15.86 cm
Question 7
7.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 14 and EB = 5.7 , find the area of the remaining portion
  • (i)
    81.90 sq.cm
  • (ii)
    78.90 sq.cm
  • (iii)
    84.90 sq.cm
  • (iv)
    86.90 sq.cm
  • (v)
    76.90 sq.cm
Question 8
8.
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)
    201.46 sq.cm
  • (ii)
    161.46 sq.cm
  • (iii)
    190.46 sq.cm
  • (iv)
    147.46 sq.cm
  • (v)
    175.46 sq.cm
Question 9
9.
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)
    94.71 cm
  • (ii)
    92.71 cm
  • (iii)
    100.71 cm
  • (iv)
    97.71 cm
  • (v)
    102.71 cm
Question 10
10.
In the given figure, ABCD is a square of side 13.00 cm and A, B, C, D are the centres of circular arcs, each of radius 6.50 cm. Find the area of the shaded region
  • (i)
    33.21 sq.cm
  • (ii)
    39.21 sq.cm
  • (iii)
    41.21 sq.cm
  • (iv)
    31.21 sq.cm
  • (v)
    36.21 sq.cm
Question 11
11.
In the given figure, ABCD is a square of side 7.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    164.50 sq.cm
  • (ii)
    160.50 sq.cm
  • (iii)
    136.50 sq.cm
  • (iv)
    176.50 sq.cm
  • (v)
    187.50 sq.cm
Question 12
12.
In the given figure, BC = 10 cm and AB = 11 cm. Find the area of the shaded region
  • (i)
    133.64 sq.cm
  • (ii)
    102.64 sq.cm
  • (iii)
    111.64 sq.cm
  • (iv)
    126.64 sq.cm
  • (v)
    118.64 sq.cm
Question 13
13.
In the given figure, BC = 9 cm and AB = 5 cm. Find the perimeter of the shaded region
  • (i)
    59.65 cm
  • (ii)
    51.65 cm
  • (iii)
    53.65 cm
  • (iv)
    61.65 cm
  • (v)
    56.65 cm
Question 14
14.
In the below figure, AB is the diameter of a circle with center O and OA = 16.00 cm . Find the area of the shaded region
  • (i)
    347.43 sq.cm
  • (ii)
    375.43 sq.cm
  • (iii)
    335.43 sq.cm
  • (iv)
    321.43 sq.cm
  • (v)
    362.43 sq.cm
Question 15
15.
In the below figure, two circles with centers O and A touch internally at B. If OB = 16.00 cm and OA = 8 cm, find the area of the unshaded region
  • (i)
    600.43 sq.cm
  • (ii)
    603.43 sq.cm
  • (iii)
    589.43 sq.cm
  • (iv)
    610.43 sq.cm
  • (v)
    618.43 sq.cm
Question 16
16.
In the below figure, BCPQ is a quadrant of a circle. BC = 15.00 cm and AB = 13 cm . Find the area of the shaded region
  • (i)
    76.28 sq.cm
  • (ii)
    84.28 sq.cm
  • (iii)
    79.28 sq.cm
  • (iv)
    74.28 sq.cm
  • (v)
    82.28 sq.cm
Question 17
17.
In the below figure, BCPA is a quadrant of a circle. BC = 14.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    95.00 sq.cm
  • (ii)
    101.00 sq.cm
  • (iii)
    103.00 sq.cm
  • (iv)
    93.00 sq.cm
  • (v)
    98.00 sq.cm
Question 18
18.
In the given figure, d = 11.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    198.14 sq.cm
  • (ii)
    207.14 sq.cm
  • (iii)
    188.14 sq.cm
  • (iv)
    190.14 sq.cm
  • (v)
    163.14 sq.cm
Question 19
19.
In the given figure, find the area of the shaded region
  • (i)
    530.36 sq.cm
  • (ii)
    508.36 sq.cm
  • (iii)
    553.36 sq.cm
  • (iv)
    536.36 sq.cm
  • (v)
    528.36 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)
    314.29 sq.cm
  • (ii)
    327.29 sq.cm
  • (iii)
    302.29 sq.cm
  • (iv)
    341.29 sq.cm
Question 21
21.
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)
    493.14 sq.cm
  • (ii)
    512.14 sq.cm
  • (iii)
    509.14 sq.cm
  • (iv)
    481.14 sq.cm
  • (v)
    532.14 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)
    1328.57 sq.m
  • (ii)
    1458.57 sq.m
  • (iii)
    1108.57 sq.m
  • (iv)
    1148.57 sq.m
  • (v)
    1468.57 sq.m
Question 23
23.
Find the area of the shaded region
  • (i)
    16.43 sq.cm
  • (ii)
    18.43 sq.cm
  • (iii)
    24.43 sq.cm
  • (iv)
    26.43 sq.cm
  • (v)
    21.43 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    49.21 sq.cm
  • (ii)
    52.21 sq.cm
  • (iii)
    54.21 sq.cm
  • (iv)
    44.21 sq.cm
  • (v)
    46.21 sq.cm
Question 25
25.
Find the area of the shaded region
  • (i)
    330.50 sq.cm
  • (ii)
    296.50 sq.cm
  • (iii)
    289.50 sq.cm
  • (iv)
    302.50 sq.cm
  • (v)
    310.50 sq.cm
Question 26
26.
In the given figure, BC = 8.00 cm. Find the area of the shaded region
  • (i)
    771.29 sq.cm
  • (ii)
    754.29 sq.cm
  • (iii)
    756.29 sq.cm
  • (iv)
    740.29 sq.cm
  • (v)
    732.29 sq.cm
Question 27
27.
In the given figure, arcs of two concentric circles of radii 20.00 cm and 6.00 cm are drawn with center O. If ∠HOI = 90°, find the area of the shaded region
  • (i)
    293.00 sq.cm
  • (ii)
    300.00 sq.cm
  • (iii)
    286.00 sq.cm
  • (iv)
    258.00 sq.cm
  • (v)
    278.00 sq.cm
Question 28
28.
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)
    6.86 sq.cm
  • (ii)
    2.86 sq.cm
  • (iii)
    5.86 sq.cm
  • (iv)
    4.86 sq.cm
  • (v)
    3.86 sq.cm
Question 29
29.
In the given figure, ABCD is a square with side 14.00 cm. Find the area of the shaded region
  • (i)
    112.00 sq.cm
  • (ii)
    84.00 sq.cm
  • (iii)
    130.00 sq.cm
  • (iv)
    105.00 sq.cm
  • (v)
    126.00 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 16.00 cm each
  • (i)
    146.29 sq.cm
  • (ii)
    133.29 sq.cm
  • (iii)
    174.29 sq.cm
  • (iv)
    159.29 sq.cm
  • (v)
    142.29 sq.cm
    Assignment Key
  •  1) (i)
  •  2) (i)
  •  3) (v)
  •  4) (iv)
  •  5) (iii)
  •  6) (i)
  •  7) (i)
  •  8) (v)
  •  9) (iv)
  •  10) (v)
  •  11) (i)
  •  12) (v)
  •  13) (v)
  •  14) (i)
  •  15) (ii)
  •  16) (iii)
  •  17) (v)
  •  18) (iv)
  •  19) (i)
  •  20) (i)
  •  21) (iii)
  •  22) (i)
  •  23) (v)
  •  24) (i)
  •  25) (iv)
  •  26) (ii)
  •  27) (iii)
  •  28) (iv)
  •  29) (i)
  •  30) (i)