EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Circumference and Area of a Circle
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
If the length of the arc of a sector is 9.25 cm and the area of the circle is 314.29 sq.cm, the perimeter of the circle is
(i)
67.86 cm
(ii)
59.86 cm
(iii)
57.86 cm
(iv)
65.86 cm
(v)
62.86 cm
Question
2
2.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 28.42 cm, the area of the circle is
(i)
378.29 sq.cm
(ii)
380.29 sq.cm
(iii)
385.29 sq.cm
(iv)
404.29 sq.cm
(v)
353.29 sq.cm
Question
3
3.
If the area of a sector of a circle is 61.11 sq.cm and the angle subtended at the center by the arc of the sector is 70.00°, the perimeter of the circle is
(i)
62.86 cm
(ii)
65.86 cm
(iii)
67.86 cm
(iv)
59.86 cm
(v)
57.86 cm
Question
4
4.
If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 86.00°, the area of the sector is
(i)
122.11 sq.cm
(ii)
108.11 sq.cm
(iii)
103.11 sq.cm
(iv)
96.11 sq.cm
Question
5
5.
If radius of the circle is 5.00 cm, the area of the circle is
(i)
78.57 sq.cm
(ii)
81.57 sq.cm
(iii)
83.57 sq.cm
(iv)
75.57 sq.cm
(v)
73.57 sq.cm
Question
6
6.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 50.00 cm, the area of the sector is
(i)
127.00 sq.cm
(ii)
169.00 sq.cm
(iii)
178.00 sq.cm
(iv)
154.00 sq.cm
(v)
152.00 sq.cm
Question
7
7.
If the inner and outer radii of a ring are 5.00 cm and 8.00 cm respectively, the area of the ring is
(i)
137.57 sq.cm
(ii)
104.57 sq.cm
(iii)
126.57 sq.cm
(iv)
106.57 sq.cm
(v)
122.57 sq.cm
Question
8
8.
If the width of the ring is 2.00 cm and outer radius is 9.00 cm, the area of the ring is
(i)
97.57 sq.cm
(ii)
100.57 sq.cm
(iii)
125.57 sq.cm
(iv)
107.57 sq.cm
(v)
78.57 sq.cm
Question
9
9.
If the area of the inner circle of the ring is 113.14 sq.cm and area of outer circle is 314.29 sq.cm, the inner circle area is
(i)
106.14 sq.cm
(ii)
98.14 sq.cm
(iii)
131.14 sq.cm
(iv)
113.14 sq.cm
(v)
116.14 sq.cm
Question
10
10.
In the given figure ,PQRS is the diameter of the circle of radius 1.50 cm and PQ = QR = RS. Find the perimeter of the shaded region
(i)
11.43 cm
(ii)
10.43 cm
(iii)
9.43 cm
(iv)
7.43 cm
(v)
8.43 cm
Question
11
11.
If the inner radius of the ring is 7.00 cm and area of the ring is 160.29 sq.cm, the width of the ring is
(i)
2.00 cm
(ii)
4.00 cm
(iii)
1.00 cm
(iv)
3.00 cm
(v)
5.00 cm
Question
12
12.
If the radius of a circle is 12.00 cm and the area of a sector is 188.57 sq.cm, the perimeter of the circle is
(i)
75.43 cm
(ii)
72.43 cm
(iii)
70.43 cm
(iv)
78.43 cm
(v)
80.43 cm
Question
13
13.
If circumference of the circle is 44.00 cm, the radius of the circle is
(i)
5.00 cm
(ii)
8.00 cm
(iii)
6.00 cm
(iv)
7.00 cm
(v)
9.00 cm
Question
14
14.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 12.10 cm, the angle subtended at the center by the arc of the sector is
(i)
58.00°
(ii)
63.00°
(iii)
68.00°
(iv)
60.00°
(v)
66.00°
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)
161.43 sq.cm
(ii)
181.43 sq.cm
(iii)
150.43 sq.cm
(iv)
133.43 sq.cm
(v)
155.43 sq.cm
Question
16
16.
If the area of a sector of a circle is 228.69 sq.cm and the area of the circle is 531.14 sq.cm, the radius of the circle is
(i)
8.00 cm
(ii)
10.00 cm
(iii)
18.00 cm
(iv)
16.00 cm
(v)
13.00 cm
Question
17
17.
If the radius of a circle is 14.00 cm and the angle subtended at the center by the arc of a sector is 97.00°, the area of the circle is
(i)
611.00 sq.cm
(ii)
643.00 sq.cm
(iii)
616.00 sq.cm
(iv)
629.00 sq.cm
(v)
602.00 sq.cm
Question
18
18.
If the outer radius of the ring is 10.00 cm and area of the ring is 201.14 sq.cm, the outer circle area is
(i)
286.29 sq.cm
(ii)
297.29 sq.cm
(iii)
314.29 sq.cm
(iv)
326.29 sq.cm
(v)
339.29 sq.cm
Question
19
19.
If radius of the circle is 7.00 cm, the circumference of the circle is
(i)
39.00 cm
(ii)
44.00 cm
(iii)
49.00 cm
(iv)
41.00 cm
(v)
47.00 cm
Question
20
20.
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)
25.93 sq.cm
(ii)
22.93 sq.cm
(iii)
28.93 sq.cm
(iv)
20.93 sq.cm
(v)
30.93 sq.cm
Question
21
21.
In the below figure, BPQA is a quadrant of a circle. AB = 16.00 cm and BC = 12 cm . Find the area of the shaded region
(i)
117.14 sq.cm
(ii)
105.14 sq.cm
(iii)
92.14 sq.cm
(iv)
119.14 sq.cm
(v)
80.14 sq.cm
Question
22
22.
If area of the circle is 314.29 sq.cm, the area of the semicircle is
(i)
157.14 sq.cm
(ii)
144.14 sq.cm
(iii)
160.14 sq.cm
(iv)
139.14 sq.cm
(v)
181.14 sq.cm
Question
23
23.
If area of the circle is 78.57 sq.cm, the circumference of the circle is
(i)
26.43 cm
(ii)
28.43 cm
(iii)
31.43 cm
(iv)
36.43 cm
(v)
34.43 cm
Question
24
24.
In the given figure, the radius of the circle is 6 cm. Find the area of the minor sector
(i)
28.29 sq.cm
(ii)
23.29 sq.cm
(iii)
33.28 sq.cm
(iv)
31.29 sq.cm
(v)
25.29 sq.cm
Question
25
25.
If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 86.00°, the perimeter of the sector is
(i)
41.52 cm
(ii)
38.52 cm
(iii)
43.52 cm
(iv)
35.52 cm
(v)
33.52 cm
Assignment Key
1) (v)
2) (ii)
3) (i)
4) (ii)
5) (i)
6) (iv)
7) (v)
8) (ii)
9) (iv)
10) (iii)
11) (iv)
12) (i)
13) (iv)
14) (ii)
15) (v)
16) (v)
17) (iii)
18) (iii)
19) (ii)
20) (i)
21) (ii)
22) (i)
23) (iii)
24) (i)
25) (ii)
