EduSahara™ Assignment
Name : Areas of Sectors
Chapter : Circumference and Area of a Circle
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 95.00°, the length of the arc of the sector is
(i)
24.91 cm
(ii)
14.91 cm
(iii)
22.91 cm
(iv)
19.91 cm
(v)
16.91 cm
Question
2
2.
If the radius of a circle is 10.00 cm and the angle subtended at the center by the arc of a sector is 38.00°, the area of the sector is
(i)
28.18 sq.cm
(ii)
30.18 sq.cm
(iii)
36.18 sq.cm
(iv)
33.18 sq.cm
(v)
38.18 sq.cm
Question
3
3.
If the radius of a circle is 13.00 cm and the angle subtended at the center by the arc of a sector is 59.00°, the perimeter of the sector is
(i)
44.39 cm
(ii)
42.39 cm
(iii)
39.39 cm
(iv)
34.39 cm
(v)
36.39 cm
Question
4
4.
If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 144.00°, the area of the circle is
(i)
393.29 sq.cm
(ii)
385.29 sq.cm
(iii)
366.29 sq.cm
(iv)
380.29 sq.cm
(v)
372.29 sq.cm
Question
5
5.
If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 38.00°, the perimeter of the circle is
(i)
78.43 cm
(ii)
75.43 cm
(iii)
80.43 cm
(iv)
70.43 cm
(v)
72.43 cm
Question
6
6.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 17.39 cm, the angle subtended at the center by the arc of the sector is
(i)
83.00°
(ii)
86.00°
(iii)
80.00°
(iv)
78.00°
(v)
88.00°
Question
7
7.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 23.05 cm, the area of the sector is
(i)
138.24 sq.cm
(ii)
91.24 sq.cm
(iii)
131.24 sq.cm
(iv)
110.24 sq.cm
(v)
115.24 sq.cm
Question
8
8.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 35.86 cm, the perimeter of the sector is
(i)
61.86 cm
(ii)
58.86 cm
(iii)
66.86 cm
(iv)
56.86 cm
(v)
64.86 cm
Question
9
9.
If the radius of a circle is 15.00 cm and the length of the arc of a sector is 34.31 cm, the area of the circle is
(i)
712.14 sq.cm
(ii)
693.14 sq.cm
(iii)
690.14 sq.cm
(iv)
707.14 sq.cm
(v)
735.14 sq.cm
Question
10
10.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 13.97 cm, the perimeter of the circle is
(i)
65.86 cm
(ii)
62.86 cm
(iii)
67.86 cm
(iv)
59.86 cm
(v)
57.86 cm
Question
11
11.
If the radius of a circle is 13.00 cm and the area of a sector is 135.74 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
95.00°
(ii)
87.00°
(iii)
97.00°
(iv)
89.00°
(v)
92.00°
Question
12
12.
If the radius of a circle is 15.00 cm and the area of a sector is 229.82 sq.cm, the length of the arc of the sector is
(i)
27.64 cm
(ii)
33.64 cm
(iii)
35.64 cm
(iv)
30.64 cm
(v)
25.64 cm
Question
13
13.
If the radius of a circle is 14.00 cm and the area of a sector is 111.22 sq.cm, the perimeter of the sector is
(i)
43.89 cm
(ii)
38.89 cm
(iii)
48.89 cm
(iv)
46.89 cm
(v)
40.89 cm
Question
14
14.
If the radius of a circle is 12.00 cm and the area of a sector is 139.54 sq.cm, the area of the circle is
(i)
454.57 sq.cm
(ii)
465.57 sq.cm
(iii)
436.57 sq.cm
(iv)
452.57 sq.cm
Question
15
15.
If the radius of a circle is 13.00 cm and the area of a sector is 243.44 sq.cm, the perimeter of the circle is
(i)
81.71 cm
(ii)
86.71 cm
(iii)
84.71 cm
(iv)
76.71 cm
(v)
78.71 cm
Question
16
16.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 33.52 cm, the angle subtended at the center by the arc of the sector is
(i)
65.00°
(ii)
57.00°
(iii)
55.00°
(iv)
60.00°
(v)
63.00°
Question
17
17.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 71.64 cm, the length of the arc of the sector is
(i)
38.64 cm
(ii)
36.64 cm
(iii)
41.64 cm
(iv)
44.64 cm
(v)
46.64 cm
Question
18
18.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 48.81 cm, the area of the sector is
(i)
126.05 sq.cm
(ii)
151.05 sq.cm
(iii)
144.05 sq.cm
(iv)
171.05 sq.cm
Question
19
19.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 41.44 cm, the area of the circle is
(i)
616.00 sq.cm
(ii)
639.00 sq.cm
(iii)
612.00 sq.cm
(iv)
598.00 sq.cm
(v)
634.00 sq.cm
Question
20
20.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 45.07 cm, the perimeter of the circle is
(i)
78.71 cm
(ii)
76.71 cm
(iii)
84.71 cm
(iv)
86.71 cm
(v)
81.71 cm
Question
21
21.
If the area of a sector of a circle is 244.69 sq.cm and the angle subtended at the center by the arc of the sector is 143.00°, the radius of the circle is
(i)
14.00 cm
(ii)
17.00 cm
(iii)
9.00 cm
(iv)
11.00 cm
(v)
19.00 cm
Question
22
22.
If the area of a sector of a circle is 186.61 sq.cm and the angle subtended at the center by the arc of the sector is 95.00°, the length of the arc of the sector is
(i)
29.88 cm
(ii)
27.88 cm
(iii)
21.88 cm
(iv)
19.88 cm
(v)
24.88 cm
Question
23
23.
If the area of a sector of a circle is 286.78 sq.cm and the angle subtended at the center by the arc of the sector is 146.00°, the perimeter of the sector is
(i)
65.24 cm
(ii)
71.24 cm
(iii)
63.24 cm
(iv)
68.24 cm
(v)
73.24 cm
Question
24
24.
If the area of a sector of a circle is 78.17 sq.cm and the angle subtended at the center by the arc of the sector is 74.00°, the area of the circle is
(i)
393.29 sq.cm
(ii)
363.29 sq.cm
(iii)
394.29 sq.cm
(iv)
362.29 sq.cm
(v)
380.29 sq.cm
Question
25
25.
If the area of a sector of a circle is 155.29 sq.cm and the angle subtended at the center by the arc of the sector is 147.00°, the perimeter of the circle is
(i)
66.14 cm
(ii)
72.14 cm
(iii)
64.14 cm
(iv)
69.14 cm
(v)
74.14 cm
Question
26
26.
If the area of a sector of a circle is 192.34 sq.cm and the length of the arc of the sector is 32.06 cm, the radius of the circle is
(i)
7.00 cm
(ii)
12.00 cm
(iii)
17.00 cm
(iv)
9.00 cm
(v)
15.00 cm
Question
27
27.
If the area of a sector of a circle is 55.31 sq.cm and the length of the arc of the sector is 9.22 cm, the angle subtended at the center by the arc of the sector is
(i)
44.00°
(ii)
49.00°
(iii)
39.00°
(iv)
41.00°
(v)
47.00°
Question
28
28.
If the area of a sector of a circle is 125.71 sq.cm and the length of the arc of the sector is 22.85 cm, the perimeter of the sector is
(i)
44.85 cm
(ii)
39.85 cm
(iii)
49.85 cm
(iv)
47.85 cm
(v)
41.85 cm
Question
29
29.
If the area of a sector of a circle is 241.96 sq.cm and the length of the arc of the sector is 37.22 cm, the area of the circle is
(i)
529.14 sq.cm
(ii)
538.14 sq.cm
(iii)
553.14 sq.cm
(iv)
505.14 sq.cm
(v)
531.14 sq.cm
Question
30
30.
If the area of a sector of a circle is 69.84 sq.cm and the length of the arc of the sector is 13.97 cm, the perimeter of the circle is
(i)
62.86 cm
(ii)
67.86 cm
(iii)
65.86 cm
(iv)
57.86 cm
(v)
59.86 cm
Question
31
31.
If the area of a sector of a circle is 245.53 sq.cm and the area of the circle is 707.14 sq.cm, the radius of the circle is
(i)
10.00 cm
(ii)
12.00 cm
(iii)
20.00 cm
(iv)
18.00 cm
(v)
15.00 cm
Question
32
32.
If the area of a sector of a circle is 111.89 sq.cm and the area of the circle is 452.57 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
94.00°
(ii)
86.00°
(iii)
89.00°
(iv)
92.00°
(v)
84.00°
Question
33
33.
If the area of a sector of a circle is 101.83 sq.cm and the area of the circle is 452.57 sq.cm, the length of the arc of the sector is
(i)
11.97 cm
(ii)
16.97 cm
(iii)
19.97 cm
(iv)
13.97 cm
(v)
21.97 cm
Question
34
34.
If the area of a sector of a circle is 139.46 sq.cm and the area of the circle is 707.14 sq.cm, the perimeter of the sector is
(i)
53.60 cm
(ii)
43.60 cm
(iii)
51.60 cm
(iv)
45.60 cm
(v)
48.60 cm
Question
35
35.
If the area of a sector of a circle is 136.89 sq.cm and the area of the circle is 616.00 sq.cm, the perimeter of the circle is
(i)
88.00 cm
(ii)
93.00 cm
(iii)
91.00 cm
(iv)
85.00 cm
(v)
83.00 cm
Question
36
36.
If the length of the arc of a sector is 14.67 cm and the angle subtended at the center by the arc of the sector is 84.00°, the radius of the circle is
(i)
7.00 cm
(ii)
13.00 cm
(iii)
5.00 cm
(iv)
10.00 cm
(v)
15.00 cm
Question
37
37.
If the length of the arc of a sector is 16.38 cm and the angle subtended at the center by the arc of the sector is 67.00°, the area of the sector is
(i)
101.64 sq.cm
(ii)
142.64 sq.cm
(iii)
128.64 sq.cm
(iv)
114.64 sq.cm
(v)
100.64 sq.cm
Question
38
38.
If the length of the arc of a sector is 10.21 cm and the angle subtended at the center by the arc of the sector is 39.00°, the perimeter of the sector is
(i)
45.21 cm
(ii)
37.21 cm
(iii)
35.21 cm
(iv)
40.21 cm
(v)
43.21 cm
Question
39
39.
If the length of the arc of a sector is 31.50 cm and the angle subtended at the center by the arc of the sector is 164.00°, the area of the circle is
(i)
395.29 sq.cm
(ii)
380.29 sq.cm
(iii)
354.29 sq.cm
(iv)
388.29 sq.cm
(v)
374.29 sq.cm
Question
40
40.
If the length of the arc of a sector is 37.22 cm and the angle subtended at the center by the arc of the sector is 164.00°, the perimeter of the circle is
(i)
76.71 cm
(ii)
84.71 cm
(iii)
86.71 cm
(iv)
78.71 cm
(v)
81.71 cm
Question
41
41.
If the length of the arc of a sector is 19.52 cm and the area of the circle is 531.14 sq.cm, the radius of the circle is
(i)
13.00 cm
(ii)
18.00 cm
(iii)
8.00 cm
(iv)
16.00 cm
(v)
10.00 cm
Question
42
42.
If the length of the arc of a sector is 18.23 cm and the area of the circle is 452.57 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
92.00°
(ii)
82.00°
(iii)
90.00°
(iv)
87.00°
(v)
84.00°
Question
43
43.
If the length of the arc of a sector is 23.83 cm and the area of the circle is 531.14 sq.cm, the area of the sector is
(i)
127.92 sq.cm
(ii)
178.92 sq.cm
(iii)
139.92 sq.cm
(iv)
166.92 sq.cm
(v)
154.92 sq.cm
Question
44
44.
If the length of the arc of a sector is 38.76 cm and the area of the circle is 707.14 sq.cm, the perimeter of the sector is
(i)
71.76 cm
(ii)
68.76 cm
(iii)
63.76 cm
(iv)
65.76 cm
(v)
73.76 cm
Question
45
45.
If the length of the arc of a sector is 25.42 cm and the area of the circle is 531.14 sq.cm, the perimeter of the circle is
(i)
86.71 cm
(ii)
81.71 cm
(iii)
84.71 cm
(iv)
76.71 cm
(v)
78.71 cm
Question
46
46.
If the length of the arc of a sector is 44.26 cm and the perimeter of the circle is 94.29 cm, the radius of the circle is
(i)
18.00 cm
(ii)
10.00 cm
(iii)
15.00 cm
(iv)
12.00 cm
(v)
20.00 cm
Question
47
47.
If the length of the arc of a sector is 22.73 cm and the perimeter of the circle is 88.00 cm, the angle subtended at the center by the arc of the sector is
(i)
96.00°
(ii)
98.00°
(iii)
93.00°
(iv)
88.00°
(v)
90.00°
Question
48
48.
If the length of the arc of a sector is 30.56 cm and the perimeter of the circle is 88.00 cm, the area of the sector is
(i)
211.89 sq.cm
(ii)
187.89 sq.cm
(iii)
213.89 sq.cm
(iv)
237.89 sq.cm
(v)
218.89 sq.cm
Question
49
49.
If the length of the arc of a sector is 16.97 cm and the perimeter of the circle is 75.43 cm, the perimeter of the sector is
(i)
45.97 cm
(ii)
40.97 cm
(iii)
35.97 cm
(iv)
37.97 cm
(v)
43.97 cm
Question
50
50.
If the length of the arc of a sector is 15.19 cm and the perimeter of the circle is 62.86 cm, the area of the circle is
(i)
299.29 sq.cm
(ii)
336.29 sq.cm
(iii)
300.29 sq.cm
(iv)
314.29 sq.cm
(v)
327.29 sq.cm
Assignment Key
1) (iv)
2) (iv)
3) (iii)
4) (iv)
5) (ii)
6) (i)
7) (v)
8) (i)
9) (iv)
10) (ii)
11) (v)
12) (iv)
13) (i)
14) (iv)
15) (i)
16) (iv)
17) (iii)
18) (iii)
19) (i)
20) (v)
21) (i)
22) (v)
23) (iv)
24) (v)
25) (iv)
26) (ii)
27) (i)
28) (i)
29) (v)
30) (i)
31) (v)
32) (iii)
33) (ii)
34) (v)
35) (i)
36) (iv)
37) (iv)
38) (iv)
39) (ii)
40) (v)
41) (i)
42) (iv)
43) (v)
44) (ii)
45) (ii)
46) (iii)
47) (iii)
48) (iii)
49) (ii)
50) (iv)
