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 23 cm. Find the area of the shaded region
  • (i)
    95.52 sq.cm
  • (ii)
    87.52 sq.cm
  • (iii)
    90.52 sq.cm
  • (iv)
    85.52 sq.cm
  • (v)
    93.52 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 18.00 cm and 15.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    145.36 sq.cm
  • (ii)
    161.36 sq.cm
  • (iii)
    169.36 sq.cm
  • (iv)
    174.36 sq.cm
  • (v)
    156.36 sq.cm
Question 3
3.
In the given figure, the radius of the circle is 12 cm. Find the area of the minor sector
  • (i)
    113.14 sq.cm
  • (ii)
    100.14 sq.cm
  • (iii)
    127.14 sq.cm
  • (iv)
    138.14 sq.cm
  • (v)
    101.14 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)
    291.21 sq.cm
  • (ii)
    285.21 sq.cm
  • (iii)
    277.21 sq.cm
  • (iv)
    297.21 sq.cm
  • (v)
    272.21 sq.cm
Question 5
5.
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)
    40.71 sq.cm
  • (ii)
    42.71 sq.cm
  • (iii)
    34.71 sq.cm
  • (iv)
    37.71 sq.cm
  • (v)
    32.71 sq.cm
Question 6
6.
In the given figure ,PQRS is the diameter of the circle of radius 13.50 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • (i)
    89.86 cm
  • (ii)
    81.86 cm
  • (iii)
    79.86 cm
  • (iv)
    84.86 cm
  • (v)
    87.86 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 = 2.1 , find the area of the remaining portion
  • (i)
    59.70 sq.cm
  • (ii)
    56.70 sq.cm
  • (iii)
    53.70 sq.cm
  • (iv)
    51.70 sq.cm
  • (v)
    61.70 sq.cm
Question 8
8.
In the given figure, ABCD is a square of side 12.00 cm . At the centre there is a circle with radius 3.00 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • (i)
    90.43 sq.cm
  • (ii)
    82.43 sq.cm
  • (iii)
    84.43 sq.cm
  • (iv)
    87.43 sq.cm
  • (v)
    92.43 sq.cm
Question 9
9.
In the given figure, ABCD is a square of side 16.00 cm . At the centre there is a circle with radius 4.00 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.
  • (i)
    79.29 cm
  • (ii)
    85.29 cm
  • (iii)
    77.29 cm
  • (iv)
    87.29 cm
  • (v)
    82.29 cm
Question 10
10.
In the given figure, ABCD is a square of side 15.00 cm and A, B, C, D are the centres of circular arcs, each of radius 7.50 cm. Find the area of the shaded region
  • (i)
    48.21 sq.cm
  • (ii)
    43.21 sq.cm
  • (iii)
    45.21 sq.cm
  • (iv)
    51.21 sq.cm
  • (v)
    53.21 sq.cm
Question 11
11.
In the given figure, ABCD is a square of side 11.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    390.21 sq.cm
  • (ii)
    406.21 sq.cm
  • (iii)
    421.21 sq.cm
  • (iv)
    393.21 sq.cm
  • (v)
    423.21 sq.cm
Question 12
12.
In the given figure, BC = 10 cm and AB = 6 cm. Find the area of the shaded region
  • (i)
    81.86 sq.cm
  • (ii)
    76.86 sq.cm
  • (iii)
    73.86 sq.cm
  • (iv)
    71.86 sq.cm
  • (v)
    79.86 sq.cm
Question 13
13.
In the given figure, BC = 13 cm and AB = 5 cm. Find the perimeter of the shaded region
  • (i)
    72.70 cm
  • (ii)
    70.70 cm
  • (iii)
    75.70 cm
  • (iv)
    80.70 cm
  • (v)
    78.70 cm
Question 14
14.
In the below figure, AB is the diameter of a circle with center O and OA = 17.00 cm . Find the area of the shaded region
  • (i)
    415.21 sq.cm
  • (ii)
    392.21 sq.cm
  • (iii)
    364.21 sq.cm
  • (iv)
    407.21 sq.cm
  • (v)
    389.21 sq.cm
Question 15
15.
In the below figure, two circles with centers O and A touch internally at B. If OB = 18.00 cm and OA = 7.2 cm, find the area of the unshaded region
  • (i)
    651.70 sq.cm
  • (ii)
    636.70 sq.cm
  • (iii)
    674.70 sq.cm
  • (iv)
    633.70 sq.cm
  • (v)
    657.70 sq.cm
Question 16
16.
In the below figure, BPQA is a quadrant of a circle. AB = 17.00 cm and BC = 13 cm . Find the area of the shaded region
  • (i)
    90.57 sq.cm
  • (ii)
    116.57 sq.cm
  • (iii)
    102.57 sq.cm
  • (iv)
    131.57 sq.cm
  • (v)
    118.57 sq.cm
Question 17
17.
In the below figure, BCPA is a quadrant of a circle. BC = 10.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    55.00 sq.cm
  • (ii)
    50.00 sq.cm
  • (iii)
    47.00 sq.cm
  • (iv)
    45.00 sq.cm
  • (v)
    53.00 sq.cm
Question 18
18.
In the given figure, d = 20.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    636.57 sq.cm
  • (ii)
    645.57 sq.cm
  • (iii)
    623.57 sq.cm
  • (iv)
    601.57 sq.cm
  • (v)
    628.57 sq.cm
Question 19
19.
In the given figure, find the area of the shaded region
  • (i)
    789.71 sq.cm
  • (ii)
    745.71 sq.cm
  • (iii)
    763.71 sq.cm
  • (iv)
    766.71 sq.cm
  • (v)
    748.71 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 12.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
  • (i)
    439.57 sq.cm
  • (ii)
    438.57 sq.cm
  • (iii)
    452.57 sq.cm
  • (iv)
    467.57 sq.cm
  • (v)
    478.57 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)
    641.57 sq.cm
  • (ii)
    640.57 sq.cm
  • (iii)
    625.57 sq.cm
  • (iv)
    628.57 sq.cm
  • (v)
    606.57 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)
    707.14 sq.m
  • (ii)
    674.14 sq.m
  • (iii)
    726.14 sq.m
  • (iv)
    701.14 sq.m
  • (v)
    688.14 sq.m
Question 23
23.
Find the area of the shaded region
  • (i)
    33.86 sq.cm
  • (ii)
    27.86 sq.cm
  • (iii)
    30.86 sq.cm
  • (iv)
    25.86 sq.cm
  • (v)
    35.86 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    52.93 sq.cm
  • (ii)
    42.93 sq.cm
  • (iii)
    50.93 sq.cm
  • (iv)
    47.93 sq.cm
  • (v)
    44.93 sq.cm
Question 25
25.
Find the area of the shaded region
  • (i)
    265.64 sq.cm
  • (ii)
    273.64 sq.cm
  • (iii)
    248.64 sq.cm
  • (iv)
    255.64 sq.cm
  • (v)
    261.64 sq.cm
Question 26
26.
In the given figure, BC = 4.00 cm. Find the area of the shaded region
  • (i)
    188.57 sq.cm
  • (ii)
    204.57 sq.cm
  • (iii)
    166.57 sq.cm
  • (iv)
    186.57 sq.cm
  • (v)
    192.57 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 ∠FOG = 30°, find the area of the shaded region
  • (i)
    74.28 sq.cm
  • (ii)
    68.28 sq.cm
  • (iii)
    71.28 sq.cm
  • (iv)
    66.28 sq.cm
  • (v)
    76.28 sq.cm
Question 28
28.
In the given figure △ABC is an equilateral triangle whose area is 84.87 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)
    5.87 sq.cm
  • (ii)
    6.87 sq.cm
  • (iii)
    8.87 sq.cm
  • (iv)
    7.87 sq.cm
  • (v)
    9.87 sq.cm
Question 29
29.
In the given figure, ABCD is a square with side 15.00 cm. Find the area of the shaded region
  • (i)
    126.57 sq.cm
  • (ii)
    102.57 sq.cm
  • (iii)
    151.57 sq.cm
  • (iv)
    134.57 sq.cm
  • (v)
    128.57 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 18.00 cm each
  • (i)
    198.14 sq.cm
  • (ii)
    185.14 sq.cm
  • (iii)
    170.14 sq.cm
  • (iv)
    157.14 sq.cm
  • (v)
    199.14 sq.cm
    Assignment Key
  •  1) (iii)
  •  2) (ii)
  •  3) (i)
  •  4) (ii)
  •  5) (iv)
  •  6) (iv)
  •  7) (ii)
  •  8) (iv)
  •  9) (v)
  •  10) (i)
  •  11) (ii)
  •  12) (ii)
  •  13) (iii)
  •  14) (ii)
  •  15) (i)
  •  16) (ii)
  •  17) (ii)
  •  18) (v)
  •  19) (iii)
  •  20) (iii)
  •  21) (iv)
  •  22) (iv)
  •  23) (iii)
  •  24) (iv)
  •  25) (v)
  •  26) (i)
  •  27) (iii)
  •  28) (iv)
  •  29) (v)
  •  30) (ii)