EduSahara™ Assignment
Name : Perimeter and Area of Circles
Chapter : Perimeter and Area of Plane Figures
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If radius of the circle is 10.00 cm, the area of the circle is
(i)
328.29 sq.cm
(ii)
327.29 sq.cm
(iii)
299.29 sq.cm
(iv)
314.29 sq.cm
(v)
302.29 sq.cm
Question
2
2.
If radius of the circle is 5.00 cm, the area of the semicircle is
(i)
36.29 sq.cm
(ii)
42.29 sq.cm
(iii)
44.29 sq.cm
(iv)
39.29 sq.cm
(v)
34.29 sq.cm
Question
3
3.
If radius of the circle is 5.00 cm, the perimeter of the semicircle is
(i)
20.71 cm
(ii)
25.71 cm
(iii)
22.71 cm
(iv)
30.71 cm
(v)
28.71 cm
Question
4
4.
If diameter of the circle is 10.00 cm, the area of the circle is
(i)
78.57 sq.cm
(ii)
81.57 sq.cm
(iii)
75.57 sq.cm
(iv)
83.57 sq.cm
(v)
73.57 sq.cm
Question
5
5.
If diameter of the circle is 10.00 cm, the area of the semicircle is
(i)
44.29 sq.cm
(ii)
36.29 sq.cm
(iii)
39.29 sq.cm
(iv)
42.29 sq.cm
(v)
34.29 sq.cm
Question
6
6.
If diameter of the circle is 12.00 cm, the perimeter of the semicircle is
(i)
30.86 cm
(ii)
35.86 cm
(iii)
25.86 cm
(iv)
27.86 cm
(v)
33.86 cm
Question
7
7.
If circumference of the circle is 37.71 cm, the area of the circle is
(i)
113.14 sq.cm
(ii)
137.14 sq.cm
(iii)
115.14 sq.cm
(iv)
90.14 sq.cm
(v)
109.14 sq.cm
Question
8
8.
If circumference of the circle is 31.43 cm, the area of the semicircle is
(i)
36.29 sq.cm
(ii)
34.29 sq.cm
(iii)
42.29 sq.cm
(iv)
44.29 sq.cm
(v)
39.29 sq.cm
Question
9
9.
If circumference of the circle is 56.57 cm, the perimeter of the semicircle is
(i)
41.29 cm
(ii)
51.29 cm
(iii)
46.29 cm
(iv)
49.29 cm
(v)
43.29 cm
Question
10
10.
If area of the circle is 201.14 sq.cm, the area of the semicircle is
(i)
96.57 sq.cm
(ii)
128.57 sq.cm
(iii)
100.57 sq.cm
(iv)
107.57 sq.cm
(v)
78.57 sq.cm
Question
11
11.
If area of the circle is 254.57 sq.cm, the perimeter of the semicircle is
(i)
41.29 cm
(ii)
51.29 cm
(iii)
49.29 cm
(iv)
43.29 cm
(v)
46.29 cm
Question
12
12.
In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 26 cm. Find the area of the shaded region
(i)
115.67 sq.cm
(ii)
133.67 sq.cm
(iii)
109.67 sq.cm
(iv)
93.67 sq.cm
(v)
142.67 sq.cm
Question
13
13.
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)
217.93 sq.cm
(ii)
212.93 sq.cm
(iii)
243.93 sq.cm
(iv)
219.93 sq.cm
(v)
195.93 sq.cm
Question
14
14.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 15 and EB = 4.5 , find the area of the remaining portion
(i)
84.97 sq.cm
(ii)
86.97 sq.cm
(iii)
81.97 sq.cm
(iv)
78.97 sq.cm
(v)
76.97 sq.cm
Question
15
15.
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 area of the shaded region.
(i)
139.43 sq.cm
(ii)
167.43 sq.cm
(iii)
130.43 sq.cm
(iv)
168.43 sq.cm
(v)
155.43 sq.cm
Question
16
16.
In the given figure, ABCD is a square of side 11.00 cm and A, B, C, D are the centres of circular arcs, each of radius 5.50 cm. Find the area of the shaded region
(i)
30.93 sq.cm
(ii)
22.93 sq.cm
(iii)
28.93 sq.cm
(iv)
25.93 sq.cm
(v)
20.93 sq.cm
Question
17
17.
In the given figure, BC = 5 cm and AB = 7 cm. Find the perimeter of the shaded region
(i)
52.64 cm
(ii)
44.64 cm
(iii)
47.64 cm
(iv)
50.64 cm
(v)
42.64 cm
Question
18
18.
In the given figure, d = 14.00 cm is the diameter of the semi-circles. Find the area of the shaded region
(i)
322.00 sq.cm
(ii)
308.00 sq.cm
(iii)
320.00 sq.cm
(iv)
283.00 sq.cm
(v)
291.00 sq.cm
Question
19
19.
Find the area of the shaded region
(i)
58.93 sq.cm
(ii)
66.93 sq.cm
(iii)
61.93 sq.cm
(iv)
56.93 sq.cm
(v)
64.93 sq.cm
Question
20
20.
Find the area of the shaded region
(i)
133.21 sq.cm
(ii)
91.21 sq.cm
(iii)
112.21 sq.cm
(iv)
108.21 sq.cm
(v)
90.21 sq.cm
Question
21
21.
In the given figure, arcs of two concentric circles of radii 16.00 cm and 4.80 cm are drawn with center O. If ∠HOI = 60°, find the area of the shaded region
(i)
99.03 sq.cm
(ii)
105.03 sq.cm
(iii)
134.03 sq.cm
(iv)
122.03 sq.cm
(v)
128.03 sq.cm
Question
22
22.
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)
10.28 sq.cm
(ii)
15.28 sq.cm
(iii)
7.28 sq.cm
(iv)
13.28 sq.cm
(v)
5.28 sq.cm
Assignment Key
1) (iv)
2) (iv)
3) (ii)
4) (i)
5) (iii)
6) (i)
7) (i)
8) (v)
9) (iii)
10) (iii)
11) (v)
12) (i)
13) (i)
14) (iii)
15) (v)
16) (iv)
17) (iii)
18) (ii)
19) (iii)
20) (iv)
21) (iv)
22) (i)