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 29 cm. Find the area of the shaded region
  • (i)
    128.90 sq.cm
  • (ii)
    156.90 sq.cm
  • (iii)
    143.90 sq.cm
  • (iv)
    120.90 sq.cm
  • (v)
    145.90 sq.cm
Question 2
2.
In the given figure, the circle circumscribes a rectangle with sides 20.00 cm and 19.00 cm. Find the area of the remaining portion other than the rectangle
  • (i)
    233.93 sq.cm
  • (ii)
    215.93 sq.cm
  • (iii)
    190.93 sq.cm
  • (iv)
    217.93 sq.cm
Question 3
3.
In the given figure, the radius of the circle is 9 cm. Find the area of the minor sector
  • (i)
    63.64 sq.cm
  • (ii)
    66.64 sq.cm
  • (iii)
    58.64 sq.cm
  • (iv)
    60.64 sq.cm
  • (v)
    68.64 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)
    517.36 sq.cm
  • (ii)
    526.36 sq.cm
  • (iii)
    558.36 sq.cm
  • (iv)
    530.36 sq.cm
  • (v)
    538.36 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)
    78.43 sq.cm
  • (ii)
    70.43 sq.cm
  • (iii)
    72.43 sq.cm
  • (iv)
    75.43 sq.cm
  • (v)
    80.43 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)
    13.86 cm
  • (ii)
    18.86 cm
  • (iii)
    15.86 cm
  • (iv)
    21.86 cm
  • (v)
    23.86 cm
Question 7
7.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 11 and EB = 4.1 , find the area of the remaining portion
  • (i)
    51.48 sq.cm
  • (ii)
    53.48 sq.cm
  • (iii)
    48.48 sq.cm
  • (iv)
    45.48 sq.cm
  • (v)
    43.48 sq.cm
Question 8
8.
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 area of the shaded region.
  • (i)
    224.18 sq.cm
  • (ii)
    206.18 sq.cm
  • (iii)
    203.18 sq.cm
  • (iv)
    242.18 sq.cm
  • (v)
    219.18 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)
    100.71 cm
  • (ii)
    97.71 cm
  • (iii)
    92.71 cm
  • (iv)
    102.71 cm
  • (v)
    94.71 cm
Question 10
10.
In the given figure, ABCD is a square of side 19.00 cm and A, B, C, D are the centres of circular arcs, each of radius 9.50 cm. Find the area of the shaded region
  • (i)
    80.36 sq.cm
  • (ii)
    82.36 sq.cm
  • (iii)
    72.36 sq.cm
  • (iv)
    74.36 sq.cm
  • (v)
    77.36 sq.cm
Question 11
11.
In the given figure, ABCD is a square of side 12.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
  • (i)
    498.43 sq.cm
  • (ii)
    465.43 sq.cm
  • (iii)
    506.43 sq.cm
  • (iv)
    483.43 sq.cm
  • (v)
    470.43 sq.cm
Question 12
12.
In the given figure, BC = 13 cm and AB = 7 cm. Find the area of the shaded region
  • (i)
    125.79 sq.cm
  • (ii)
    130.79 sq.cm
  • (iii)
    123.79 sq.cm
  • (iv)
    108.79 sq.cm
  • (v)
    138.79 sq.cm
Question 13
13.
In the given figure, BC = 12 cm and AB = 13 cm. Find the perimeter of the shaded region
  • (i)
    101.29 cm
  • (ii)
    103.29 cm
  • (iii)
    98.29 cm
  • (iv)
    95.29 cm
  • (v)
    93.29 cm
Question 14
14.
In the below figure, AB is the diameter of a circle with center O and OA = 18.00 cm . Find the area of the shaded region
  • (i)
    456.71 sq.cm
  • (ii)
    411.71 sq.cm
  • (iii)
    436.71 sq.cm
  • (iv)
    439.71 sq.cm
  • (v)
    451.71 sq.cm
Question 15
15.
In the below figure, two circles with centers O and A touch internally at B. If OB = 17.00 cm and OA = 5.1 cm, find the area of the unshaded region
  • (i)
    463.23 sq.cm
  • (ii)
    488.23 sq.cm
  • (iii)
    469.23 sq.cm
  • (iv)
    446.23 sq.cm
  • (v)
    447.23 sq.cm
Question 16
16.
In the below figure, BCPQ is a quadrant of a circle. BC = 18.00 cm and AB = 13 cm . Find the area of the shaded region
  • (i)
    153.57 sq.cm
  • (ii)
    137.57 sq.cm
  • (iii)
    139.57 sq.cm
  • (iv)
    124.57 sq.cm
  • (v)
    130.57 sq.cm
Question 17
17.
In the below figure, BCPA is a quadrant of a circle. BC = 15.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • (i)
    128.50 sq.cm
  • (ii)
    89.50 sq.cm
  • (iii)
    112.50 sq.cm
  • (iv)
    96.50 sq.cm
  • (v)
    114.50 sq.cm
Question 18
18.
In the given figure, d = 12.00 cm is the diameter of the semi-circles. Find the area of the shaded region
  • (i)
    252.29 sq.cm
  • (ii)
    202.29 sq.cm
  • (iii)
    229.29 sq.cm
  • (iv)
    211.29 sq.cm
  • (v)
    226.29 sq.cm
Question 19
19.
In the given figure, find the area of the shaded region
  • (i)
    339.43 sq.cm
  • (ii)
    341.43 sq.cm
  • (iii)
    354.43 sq.cm
  • (iv)
    325.43 sq.cm
  • (v)
    322.43 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 6.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
  • (i)
    108.14 sq.cm
  • (ii)
    125.14 sq.cm
  • (iii)
    86.14 sq.cm
  • (iv)
    113.14 sq.cm
  • (v)
    141.14 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)
    524.14 sq.cm
  • (ii)
    485.14 sq.cm
  • (iii)
    505.14 sq.cm
  • (iv)
    509.14 sq.cm
  • (v)
    537.14 sq.cm
Question 22
22.
In the given figure, the width of the circular path is 7.00 m. Find the area of the shaded region
  • (i)
    730.00 sq.m
  • (ii)
    702.00 sq.m
  • (iii)
    677.00 sq.m
  • (iv)
    706.00 sq.m
  • (v)
    690.00 sq.m
Question 23
23.
Find the area of the shaded region
  • (i)
    36.21 sq.cm
  • (ii)
    41.21 sq.cm
  • (iii)
    39.21 sq.cm
  • (iv)
    31.21 sq.cm
  • (v)
    33.21 sq.cm
Question 24
24.
Find the area of the shaded region
  • (i)
    81.93 sq.cm
  • (ii)
    78.93 sq.cm
  • (iii)
    73.93 sq.cm
  • (iv)
    83.93 sq.cm
  • (v)
    75.93 sq.cm
Question 25
25.
Find the area of the shaded region
  • (i)
    166.43 sq.cm
  • (ii)
    141.43 sq.cm
  • (iii)
    123.43 sq.cm
  • (iv)
    148.43 sq.cm
  • (v)
    138.43 sq.cm
Question 26
26.
In the given figure, BC = 4.00 cm. Find the area of the shaded region
  • (i)
    171.57 sq.cm
  • (ii)
    200.57 sq.cm
  • (iii)
    188.57 sq.cm
  • (iv)
    162.57 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 ∠EOF = 70°, find the area of the shaded region
  • (i)
    153.41 sq.cm
  • (ii)
    146.41 sq.cm
  • (iii)
    131.41 sq.cm
  • (iv)
    127.41 sq.cm
  • (v)
    103.41 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)
    4.86 sq.cm
  • (ii)
    5.86 sq.cm
  • (iii)
    6.86 sq.cm
  • (iv)
    2.86 sq.cm
  • (v)
    3.86 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)
    135.57 sq.cm
  • (ii)
    150.57 sq.cm
  • (iii)
    114.57 sq.cm
  • (iv)
    101.57 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 12.00 cm each
  • (i)
    79.29 sq.cm
  • (ii)
    77.29 sq.cm
  • (iii)
    82.29 sq.cm
  • (iv)
    85.29 sq.cm
  • (v)
    87.29 sq.cm
    Assignment Key
  •  1) (iii)
  •  2) (iv)
  •  3) (i)
  •  4) (iv)
  •  5) (iv)
  •  6) (ii)
  •  7) (iii)
  •  8) (v)
  •  9) (ii)
  •  10) (v)
  •  11) (iv)
  •  12) (i)
  •  13) (iii)
  •  14) (iv)
  •  15) (i)
  •  16) (ii)
  •  17) (iii)
  •  18) (v)
  •  19) (i)
  •  20) (iv)
  •  21) (iv)
  •  22) (ii)
  •  23) (i)
  •  24) (ii)
  •  25) (ii)
  •  26) (iii)
  •  27) (iii)
  •  28) (i)
  •  29) (v)
  •  30) (iii)