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 28 cm. Find the area of the shaded region
  • (i)
    116.15 sq.cm
  • (ii)
    107.15 sq.cm
  • (iii)
    150.15 sq.cm
  • (iv)
    134.15 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 16.00 cm and 15.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    124.93 sq.cm
  • (ii)
    155.93 sq.cm
  • (iii)
    137.93 sq.cm
  • (iv)
    142.93 sq.cm
  • (v)
    135.93 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)
    109.78 sq.cm
  • (ii)
    132.78 sq.cm
  • (iii)
    117.78 sq.cm
  • (iv)
    160.78 sq.cm
  • (v)
    146.78 sq.cm
Question 4
4.
In the given figure, the radius of the circle is 15 cm. Find the area of the major sector
  • (i)
    515.36 sq.cm
  • (ii)
    543.36 sq.cm
  • (iii)
    513.36 sq.cm
  • (iv)
    548.36 sq.cm
  • (v)
    530.36 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 4.50 cm and PQ = QR = RS. Find the perimeter of the shaded region
  • (i)
    23.29 cm
  • (ii)
    28.29 cm
  • (iii)
    25.29 cm
  • (iv)
    31.29 cm
  • (v)
    33.29 cm
Question 7
7.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 16 and EB = 4.5 , find the area of the remaining portion
  • (i)
    95.86 sq.cm
  • (ii)
    90.86 sq.cm
  • (iii)
    85.86 sq.cm
  • (iv)
    93.86 sq.cm
  • (v)
    87.86 sq.cm
Question 8
8.
In the given figure, ABCD is a square of side 10.00 cm . At the centre there is a circle with radius 2.50 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
  • (i)
    60.71 sq.cm
  • (ii)
    57.71 sq.cm
  • (iii)
    63.71 sq.cm
  • (iv)
    65.71 sq.cm
  • (v)
    55.71 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)
    128.86 cm
  • (ii)
    77.86 cm
  • (iii)
    102.86 cm
  • (iv)
    84.86 cm
  • (v)
    116.86 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)
    51.21 sq.cm
  • (ii)
    43.21 sq.cm
  • (iii)
    45.21 sq.cm
  • (iv)
    53.21 sq.cm
  • (v)
    48.21 sq.cm
Question 11
11.
In the given figure, ABCD is a square of side 15.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    758.36 sq.cm
  • (ii)
    755.36 sq.cm
  • (iii)
    750.36 sq.cm
  • (iv)
    741.36 sq.cm
  • (v)
    777.36 sq.cm
Question 12
12.
In the given figure, BC = 12 cm and AB = 9 cm. Find the area of the shaded region
  • (i)
    139.79 sq.cm
  • (ii)
    117.79 sq.cm
  • (iii)
    122.79 sq.cm
  • (iv)
    126.79 sq.cm
  • (v)
    98.79 sq.cm
Question 13
13.
In the given figure, BC = 12 cm and AB = 13 cm. Find the perimeter of the shaded region
  • (i)
    98.29 cm
  • (ii)
    93.29 cm
  • (iii)
    103.29 cm
  • (iv)
    95.29 cm
  • (v)
    101.29 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)
    542.86 sq.cm
  • (ii)
    555.86 sq.cm
  • (iii)
    567.86 sq.cm
  • (iv)
    525.86 sq.cm
  • (v)
    518.86 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)
    306.44 sq.cm
  • (ii)
    345.44 sq.cm
  • (iii)
    311.44 sq.cm
  • (iv)
    319.44 sq.cm
  • (v)
    324.44 sq.cm
Question 16
16.
In the below figure, BPQA is a quadrant of a circle. AB = 17.00 cm and BC = 14 cm . Find the area of the shaded region
  • (i)
    92.07 sq.cm
  • (ii)
    86.07 sq.cm
  • (iii)
    125.07 sq.cm
  • (iv)
    131.07 sq.cm
  • (v)
    108.07 sq.cm
Question 17
17.
In the below figure, BCPA is a quadrant of a circle. BC = 18.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    158.00 sq.cm
  • (ii)
    180.00 sq.cm
  • (iii)
    135.00 sq.cm
  • (iv)
    162.00 sq.cm
  • (v)
    177.00 sq.cm
Question 18
18.
In the given figure, d = 17.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    460.14 sq.cm
  • (ii)
    431.14 sq.cm
  • (iii)
    480.14 sq.cm
  • (iv)
    454.14 sq.cm
  • (v)
    446.14 sq.cm
Question 19
19.
In the given figure, find the area of the shaded region
  • (i)
    516.36 sq.cm
  • (ii)
    518.36 sq.cm
  • (iii)
    535.36 sq.cm
  • (iv)
    557.36 sq.cm
  • (v)
    530.36 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 12.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
  • (i)
    465.57 sq.cm
  • (ii)
    452.57 sq.cm
  • (iii)
    436.57 sq.cm
  • (iv)
    425.57 sq.cm
  • (v)
    474.57 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)
    496.14 sq.cm
  • (ii)
    517.14 sq.cm
  • (iii)
    523.14 sq.cm
  • (iv)
    509.14 sq.cm
  • (v)
    504.14 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)
    1010.00 sq.m
  • (ii)
    1320.00 sq.m
  • (iii)
    1390.00 sq.m
  • (iv)
    1170.00 sq.m
  • (v)
    1050.00 sq.m
Question 23
23.
Find the area of the shaded region
  • (i)
    77.36 sq.cm
  • (ii)
    82.36 sq.cm
  • (iii)
    80.36 sq.cm
  • (iv)
    72.36 sq.cm
  • (v)
    74.36 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    116.86 sq.cm
  • (ii)
    102.86 sq.cm
  • (iii)
    87.86 sq.cm
  • (iv)
    84.86 sq.cm
  • (v)
    109.86 sq.cm
Question 25
25.
Find the area of the shaded region
  • (i)
    223.86 sq.cm
  • (ii)
    221.86 sq.cm
  • (iii)
    254.86 sq.cm
  • (iv)
    238.86 sq.cm
  • (v)
    262.86 sq.cm
Question 26
26.
In the given figure, BC = 6.00 cm. Find the area of the shaded region
  • (i)
    424.29 sq.cm
  • (ii)
    426.29 sq.cm
  • (iii)
    406.29 sq.cm
  • (iv)
    407.29 sq.cm
  • (v)
    450.29 sq.cm
Question 27
27.
In the given figure, arcs of two concentric circles of radii 14.00 cm and 5.60 cm are drawn with center O. If ∠EOF = 50°, find the area of the shaded region
  • (i)
    76.87 sq.cm
  • (ii)
    68.87 sq.cm
  • (iii)
    66.87 sq.cm
  • (iv)
    71.87 sq.cm
  • (v)
    74.87 sq.cm
Question 28
28.
In the given figure △ABC is an equilateral triangle whose area is 110.85 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)
    5.28 sq.cm
  • (ii)
    10.28 sq.cm
  • (iii)
    7.28 sq.cm
  • (iv)
    15.28 sq.cm
  • (v)
    13.28 sq.cm
Question 29
29.
In the given figure, ABCD is a square with side 12.00 cm. Find the area of the shaded region
  • (i)
    79.29 sq.cm
  • (ii)
    85.29 sq.cm
  • (iii)
    82.29 sq.cm
  • (iv)
    77.29 sq.cm
  • (v)
    87.29 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 19.00 cm each
  • (i)
    224.29 sq.cm
  • (ii)
    193.29 sq.cm
  • (iii)
    222.29 sq.cm
  • (iv)
    201.29 sq.cm
  • (v)
    206.29 sq.cm
    Assignment Key
  •  1) (iv)
  •  2) (iii)
  •  3) (ii)
  •  4) (v)
  •  5) (v)
  •  6) (ii)
  •  7) (ii)
  •  8) (i)
  •  9) (iii)
  •  10) (v)
  •  11) (ii)
  •  12) (iii)
  •  13) (i)
  •  14) (i)
  •  15) (iv)
  •  16) (v)
  •  17) (iv)
  •  18) (iv)
  •  19) (v)
  •  20) (ii)
  •  21) (iv)
  •  22) (iv)
  •  23) (i)
  •  24) (ii)
  •  25) (iv)
  •  26) (i)
  •  27) (iv)
  •  28) (ii)
  •  29) (iii)
  •  30) (v)