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 17 cm. Find the area of the shaded region
  • (i)
    54.45 sq.cm
  • (ii)
    46.45 sq.cm
  • (iii)
    52.45 sq.cm
  • (iv)
    44.45 sq.cm
  • (v)
    49.45 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 20.00 cm and 12.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    165.43 sq.cm
  • (ii)
    212.43 sq.cm
  • (iii)
    187.43 sq.cm
  • (iv)
    184.43 sq.cm
  • (v)
    194.43 sq.cm
Question 3
3.
In the given figure, the radius of the circle is 13 cm. Find the area of the minor sector
  • (i)
    136.78 sq.cm
  • (ii)
    148.78 sq.cm
  • (iii)
    132.78 sq.cm
  • (iv)
    115.78 sq.cm
  • (v)
    127.78 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)
    375.36 sq.cm
  • (iii)
    406.36 sq.cm
  • (iv)
    398.36 sq.cm
  • (v)
    426.36 sq.cm
Question 5
5.
In the given figure ,PQRS is the diameter of the circle of radius 13.50 cm and PQ = QR = RS. Find the area of the shaded region
  • (i)
    177.93 sq.cm
  • (ii)
    176.93 sq.cm
  • (iii)
    197.93 sq.cm
  • (iv)
    208.93 sq.cm
  • (v)
    190.93 sq.cm
Question 6
6.
In the given figure ,PQRS is the diameter of the circle of radius 15.00 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • (i)
    91.29 cm
  • (ii)
    99.29 cm
  • (iii)
    97.29 cm
  • (iv)
    94.29 cm
  • (v)
    89.29 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 = 2.3 , find the area of the remaining portion
  • (i)
    49.66 sq.cm
  • (ii)
    44.66 sq.cm
  • (iii)
    41.66 sq.cm
  • (iv)
    39.66 sq.cm
  • (v)
    47.66 sq.cm
Question 8
8.
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 area of the shaded region.
  • (i)
    122.61 sq.cm
  • (ii)
    163.61 sq.cm
  • (iii)
    136.61 sq.cm
  • (iv)
    118.61 sq.cm
  • (v)
    138.61 sq.cm
Question 9
9.
In the given figure, ABCD is a square of side 13.00 cm . At the centre there is a circle with radius 3.25 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.
  • (i)
    71.86 cm
  • (ii)
    63.86 cm
  • (iii)
    61.86 cm
  • (iv)
    69.86 cm
  • (v)
    66.86 cm
Question 10
10.
In the given figure, ABCD is a square of side 18.00 cm and A, B, C, D are the centres of circular arcs, each of radius 9.00 cm. Find the area of the shaded region
  • (i)
    64.43 sq.cm
  • (ii)
    66.43 sq.cm
  • (iii)
    74.43 sq.cm
  • (iv)
    72.43 sq.cm
  • (v)
    69.43 sq.cm
Question 11
11.
In the given figure, ABCD is a square of side 6.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    120.86 sq.cm
  • (ii)
    116.86 sq.cm
  • (iii)
    133.86 sq.cm
  • (iv)
    108.86 sq.cm
  • (v)
    134.86 sq.cm
Question 12
12.
In the given figure, BC = 13 cm and AB = 6 cm. Find the area of the shaded region
  • (i)
    104.07 sq.cm
  • (ii)
    139.07 sq.cm
  • (iii)
    146.07 sq.cm
  • (iv)
    108.07 sq.cm
  • (v)
    122.07 sq.cm
Question 13
13.
In the given figure, BC = 13 cm and AB = 6 cm. Find the perimeter of the shaded region
  • (i)
    75.32 cm
  • (ii)
    78.32 cm
  • (iii)
    83.32 cm
  • (iv)
    73.32 cm
  • (v)
    81.32 cm
Question 14
14.
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)
    327.36 sq.cm
  • (ii)
    310.36 sq.cm
  • (iii)
    281.36 sq.cm
  • (iv)
    292.36 sq.cm
  • (v)
    305.36 sq.cm
Question 15
15.
In the below figure, two circles with centers O and A touch internally at B. If OB = 11.00 cm and OA = 6.6 cm, find the area of the unshaded region
  • (i)
    314.44 sq.cm
  • (ii)
    342.44 sq.cm
  • (iii)
    333.44 sq.cm
  • (iv)
    297.44 sq.cm
  • (v)
    319.44 sq.cm
Question 16
16.
In the below figure, BPQA is a quadrant of a circle. AB = 18.00 cm and BC = 12 cm . Find the area of the shaded region
  • (i)
    144.57 sq.cm
  • (ii)
    159.57 sq.cm
  • (iii)
    128.57 sq.cm
  • (iv)
    146.57 sq.cm
Question 17
17.
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)
    75.00 sq.cm
  • (ii)
    67.00 sq.cm
  • (iii)
    72.00 sq.cm
  • (iv)
    77.00 sq.cm
  • (v)
    69.00 sq.cm
Question 18
18.
In the given figure, d = 15.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    329.57 sq.cm
  • (ii)
    380.57 sq.cm
  • (iii)
    360.57 sq.cm
  • (iv)
    353.57 sq.cm
  • (v)
    349.57 sq.cm
Question 19
19.
In the given figure, find the area of the shaded region
  • (i)
    760.71 sq.cm
  • (ii)
    786.71 sq.cm
  • (iii)
    763.71 sq.cm
  • (iv)
    748.71 sq.cm
  • (v)
    781.71 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 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)
    45.29 sq.cm
  • (iv)
    47.29 sq.cm
  • (v)
    50.29 sq.cm
Question 21
21.
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)
    157.14 sq.cm
  • (ii)
    175.14 sq.cm
  • (iii)
    182.14 sq.cm
  • (iv)
    131.14 sq.cm
  • (v)
    143.14 sq.cm
Question 22
22.
In the given figure, the width of the circular path is 6.00 m. Find the area of the shaded region
  • (i)
    613.71 sq.m
  • (ii)
    598.71 sq.m
  • (iii)
    616.71 sq.m
  • (iv)
    635.71 sq.m
  • (v)
    611.71 sq.m
Question 23
23.
Find the area of the shaded region
  • (i)
    74.36 sq.cm
  • (ii)
    77.36 sq.cm
  • (iii)
    80.36 sq.cm
  • (iv)
    82.36 sq.cm
  • (v)
    72.36 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    111.86 sq.cm
  • (ii)
    94.86 sq.cm
  • (iii)
    131.86 sq.cm
  • (iv)
    133.86 sq.cm
  • (v)
    118.86 sq.cm
Question 25
25.
Find the area of the shaded region
  • (i)
    135.86 sq.cm
  • (ii)
    150.86 sq.cm
  • (iii)
    167.86 sq.cm
  • (iv)
    136.86 sq.cm
Question 26
26.
In the given figure, BC = 8.00 cm. Find the area of the shaded region
  • (i)
    742.29 sq.cm
  • (ii)
    779.29 sq.cm
  • (iii)
    754.29 sq.cm
  • (iv)
    757.29 sq.cm
  • (v)
    738.29 sq.cm
Question 27
27.
In the given figure, arcs of two concentric circles of radii 20.00 cm and 8.00 cm are drawn with center O. If ∠HOI = 70°, find the area of the shaded region
  • (i)
    192.33 sq.cm
  • (ii)
    205.33 sq.cm
  • (iii)
    177.33 sq.cm
  • (iv)
    227.33 sq.cm
  • (v)
    221.33 sq.cm
Question 28
28.
In the given figure △ABC is an equilateral triangle whose area is 173.21 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)
    11.06 sq.cm
  • (ii)
    16.06 sq.cm
  • (iii)
    19.06 sq.cm
  • (iv)
    13.06 sq.cm
  • (v)
    21.06 sq.cm
Question 29
29.
In the given figure, ABCD is a square with side 10.00 cm. Find the area of the shaded region
  • (i)
    54.14 sq.cm
  • (ii)
    60.14 sq.cm
  • (iii)
    57.14 sq.cm
  • (iv)
    62.14 sq.cm
  • (v)
    52.14 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 19.00 cm each
  • (i)
    234.29 sq.cm
  • (ii)
    206.29 sq.cm
  • (iii)
    184.29 sq.cm
  • (iv)
    189.29 sq.cm
  • (v)
    220.29 sq.cm
    Assignment Key
  •  1) (v)
  •  2) (iii)
  •  3) (iii)
  •  4) (iv)
  •  5) (v)
  •  6) (iv)
  •  7) (ii)
  •  8) (iii)
  •  9) (v)
  •  10) (v)
  •  11) (i)
  •  12) (v)
  •  13) (ii)
  •  14) (v)
  •  15) (v)
  •  16) (iv)
  •  17) (iii)
  •  18) (iv)
  •  19) (iii)
  •  20) (v)
  •  21) (i)
  •  22) (i)
  •  23) (ii)
  •  24) (v)
  •  25) (ii)
  •  26) (iii)
  •  27) (ii)
  •  28) (ii)
  •  29) (iii)
  •  30) (ii)