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 15 cm. Find the area of the shaded region
  • (i)
    43.50 sq.cm
  • (ii)
    35.50 sq.cm
  • (iii)
    38.50 sq.cm
  • (iv)
    33.50 sq.cm
  • (v)
    41.50 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 13.00 cm and 12.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    84.93 sq.cm
  • (ii)
    94.93 sq.cm
  • (iii)
    89.93 sq.cm
  • (iv)
    86.93 sq.cm
  • (v)
    92.93 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)
    100.07 sq.cm
  • (ii)
    92.07 sq.cm
  • (iii)
    95.07 sq.cm
  • (iv)
    90.07 sq.cm
  • (v)
    98.07 sq.cm
Question 4
4.
In the given figure, the radius of the circle is 12 cm. Find the area of the major sector
  • (i)
    339.43 sq.cm
  • (ii)
    346.43 sq.cm
  • (iii)
    352.43 sq.cm
  • (iv)
    334.43 sq.cm
  • (v)
    317.43 sq.cm
Question 5
5.
In the given figure ,PQRS is the diameter of the circle of radius 3.00 cm and PQ = QR = RS. Find the area of the shaded region
  • (i)
    11.43 sq.cm
  • (ii)
    7.43 sq.cm
  • (iii)
    10.43 sq.cm
  • (iv)
    8.43 sq.cm
  • (v)
    9.43 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)
    81.86 cm
  • (ii)
    84.86 cm
  • (iii)
    89.86 cm
  • (iv)
    79.86 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 = 19 and EB = 3.8 , find the area of the remaining portion
  • (i)
    120.46 sq.cm
  • (ii)
    110.46 sq.cm
  • (iii)
    127.46 sq.cm
  • (iv)
    101.46 sq.cm
  • (v)
    113.46 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)
    82.43 sq.cm
  • (ii)
    90.43 sq.cm
  • (iii)
    87.43 sq.cm
  • (iv)
    92.43 sq.cm
  • (v)
    84.43 sq.cm
Question 9
9.
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 perimeter of the shaded region.
  • (i)
    56.71 cm
  • (ii)
    64.71 cm
  • (iii)
    58.71 cm
  • (iv)
    61.71 cm
  • (v)
    66.71 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)
    49.86 sq.cm
  • (ii)
    57.86 sq.cm
  • (iii)
    59.86 sq.cm
  • (iv)
    54.86 sq.cm
  • (v)
    51.86 sq.cm
Question 11
11.
In the given figure, ABCD is a square of side 10.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    335.71 sq.cm
  • (ii)
    361.71 sq.cm
  • (iii)
    323.71 sq.cm
  • (iv)
    347.71 sq.cm
  • (v)
    328.71 sq.cm
Question 12
12.
In the given figure, BC = 14 cm and AB = 12 cm. Find the area of the shaded region
  • (i)
    183.14 sq.cm
  • (ii)
    168.14 sq.cm
  • (iii)
    185.14 sq.cm
  • (iv)
    161.14 sq.cm
  • (v)
    197.14 sq.cm
Question 13
13.
In the given figure, BC = 10 cm and AB = 8 cm. Find the perimeter of the shaded region
  • (i)
    68.05 cm
  • (ii)
    74.05 cm
  • (iii)
    76.05 cm
  • (iv)
    66.05 cm
  • (v)
    71.05 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)
    345.43 sq.cm
  • (ii)
    330.43 sq.cm
  • (iii)
    360.43 sq.cm
  • (iv)
    347.43 sq.cm
  • (v)
    352.43 sq.cm
Question 15
15.
In the below figure, two circles with centers O and A touch internally at B. If OB = 14.00 cm and OA = 8.4 cm, find the area of the unshaded region
  • (i)
    521.44 sq.cm
  • (ii)
    509.44 sq.cm
  • (iii)
    517.44 sq.cm
  • (iv)
    540.44 sq.cm
  • (v)
    502.44 sq.cm
Question 16
16.
In the below figure, BPQA is a quadrant of a circle. AB = 14.00 cm and BC = 13 cm . Find the area of the shaded region
  • (i)
    66.00 sq.cm
  • (ii)
    58.00 sq.cm
  • (iii)
    60.00 sq.cm
  • (iv)
    68.00 sq.cm
  • (v)
    63.00 sq.cm
Question 17
17.
In the below figure, BCPA is a quadrant of a circle. BC = 19.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    187.50 sq.cm
  • (ii)
    155.50 sq.cm
  • (iii)
    206.50 sq.cm
  • (iv)
    180.50 sq.cm
  • (v)
    168.50 sq.cm
Question 18
18.
In the given figure, d = 13.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    252.57 sq.cm
  • (ii)
    287.57 sq.cm
  • (iii)
    250.57 sq.cm
  • (iv)
    279.57 sq.cm
  • (v)
    265.57 sq.cm
Question 19
19.
In the given figure, find the area of the shaded region
  • (i)
    968.86 sq.cm
  • (ii)
    960.86 sq.cm
  • (iii)
    915.86 sq.cm
  • (iv)
    942.86 sq.cm
  • (v)
    928.86 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)
    45.29 sq.cm
  • (ii)
    53.29 sq.cm
  • (iii)
    50.29 sq.cm
  • (iv)
    55.29 sq.cm
  • (v)
    47.29 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)
    628.57 sq.cm
  • (ii)
    644.57 sq.cm
  • (iii)
    621.57 sq.cm
  • (iv)
    606.57 sq.cm
  • (v)
    652.57 sq.cm
Question 22
22.
In the given figure, the width of the circular path is 9.00 m. Find the area of the shaded region
  • (i)
    1275.71 sq.m
  • (ii)
    1255.71 sq.m
  • (iii)
    945.71 sq.m
  • (iv)
    835.71 sq.m
  • (v)
    1105.71 sq.m
Question 23
23.
Find the area of the shaded region
  • (i)
    74.36 sq.cm
  • (ii)
    80.36 sq.cm
  • (iii)
    82.36 sq.cm
  • (iv)
    72.36 sq.cm
  • (v)
    77.36 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    47.86 sq.cm
  • (ii)
    42.86 sq.cm
  • (iii)
    37.86 sq.cm
  • (iv)
    45.86 sq.cm
  • (v)
    39.86 sq.cm
Question 25
25.
Find the area of the shaded region
  • (i)
    147.00 sq.cm
  • (ii)
    119.00 sq.cm
  • (iii)
    144.00 sq.cm
  • (iv)
    106.00 sq.cm
  • (v)
    132.00 sq.cm
Question 26
26.
In the given figure, BC = 5.00 cm. Find the area of the shaded region
  • (i)
    277.64 sq.cm
  • (ii)
    312.64 sq.cm
  • (iii)
    316.64 sq.cm
  • (iv)
    294.64 sq.cm
Question 27
27.
In the given figure, arcs of two concentric circles of radii 16.00 cm and 6.40 cm are drawn with center O. If ∠JOK = 100°, find the area of the shaded region
  • (i)
    175.73 sq.cm
  • (ii)
    164.73 sq.cm
  • (iii)
    214.73 sq.cm
  • (iv)
    202.73 sq.cm
  • (v)
    187.73 sq.cm
Question 28
28.
In the given figure △ABC is an equilateral triangle whose area is 125.14 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)
    11.60 sq.cm
  • (ii)
    8.60 sq.cm
  • (iii)
    6.60 sq.cm
  • (iv)
    14.60 sq.cm
  • (v)
    16.60 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)
    124.57 sq.cm
  • (ii)
    128.57 sq.cm
  • (iii)
    144.57 sq.cm
  • (iv)
    130.57 sq.cm
  • (v)
    113.57 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 11.00 cm each
  • (i)
    66.14 sq.cm
  • (ii)
    69.14 sq.cm
  • (iii)
    64.14 sq.cm
  • (iv)
    72.14 sq.cm
  • (v)
    74.14 sq.cm
    Assignment Key
  •  1) (iii)
  •  2) (iii)
  •  3) (iii)
  •  4) (i)
  •  5) (v)
  •  6) (ii)
  •  7) (v)
  •  8) (iii)
  •  9) (iv)
  •  10) (iv)
  •  11) (i)
  •  12) (i)
  •  13) (v)
  •  14) (iv)
  •  15) (iii)
  •  16) (v)
  •  17) (iv)
  •  18) (v)
  •  19) (iv)
  •  20) (iii)
  •  21) (i)
  •  22) (v)
  •  23) (v)
  •  24) (ii)
  •  25) (v)
  •  26) (iv)
  •  27) (v)
  •  28) (i)
  •  29) (ii)
  •  30) (ii)