EduSahara™ Assignment
Name : Sectors
Chapter : Area of Plane Figures
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 149.00°, the length of the arc of the sector is
(i)
33.62 cm
(ii)
25.62 cm
(iii)
23.62 cm
(iv)
31.62 cm
(v)
28.62 cm
Question
2
2.
If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 78.00°, the area of the sector is
(i)
87.40 sq.cm
(ii)
85.40 sq.cm
(iii)
82.40 sq.cm
(iv)
77.40 sq.cm
(v)
79.40 sq.cm
Question
3
3.
If the radius of a circle is 15.00 cm and the angle subtended at the center by the arc of a sector is 45.00°, the perimeter of the sector is
(i)
36.79 cm
(ii)
44.79 cm
(iii)
38.79 cm
(iv)
41.79 cm
(v)
46.79 cm
Question
4
4.
If the radius of a circle is 14.00 cm and the angle subtended at the center by the arc of a sector is 66.00°, the area of the circle is
(i)
594.00 sq.cm
(ii)
610.00 sq.cm
(iii)
642.00 sq.cm
(iv)
619.00 sq.cm
(v)
616.00 sq.cm
Question
5
5.
If the radius of a circle is 10.00 cm and the angle subtended at the center by the arc of a sector is 157.00°, the perimeter of the circle is
(i)
62.86 cm
(ii)
59.86 cm
(iii)
57.86 cm
(iv)
67.86 cm
(v)
65.86 cm
Question
6
6.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 17.98 cm, the angle subtended at the center by the arc of the sector is
(i)
108.00°
(ii)
87.00°
(iii)
103.00°
(iv)
90.00°
(v)
131.00°
Question
7
7.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 21.51 cm, the area of the sector is
(i)
102.31 sq.cm
(ii)
118.31 sq.cm
(iii)
105.31 sq.cm
(iv)
123.31 sq.cm
(v)
132.31 sq.cm
Question
8
8.
If the radius of a circle is 14.00 cm and the length of the arc of a sector is 33.49 cm, the perimeter of the sector is
(i)
56.49 cm
(ii)
61.49 cm
(iii)
58.49 cm
(iv)
64.49 cm
(v)
66.49 cm
Question
9
9.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 18.16 cm, the area of the circle is
(i)
537.14 sq.cm
(ii)
524.14 sq.cm
(iii)
559.14 sq.cm
(iv)
518.14 sq.cm
(v)
531.14 sq.cm
Question
10
10.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 8.62 cm, the perimeter of the circle is
(i)
76.71 cm
(ii)
86.71 cm
(iii)
81.71 cm
(iv)
84.71 cm
(v)
78.71 cm
Question
11
11.
If the radius of a circle is 12.00 cm and the area of a sector is 93.03 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
79.00°
(ii)
69.00°
(iii)
74.00°
(iv)
71.00°
(v)
77.00°
Question
12
12.
If the radius of a circle is 11.00 cm and the area of a sector is 119.37 sq.cm, the length of the arc of the sector is
(i)
18.70 cm
(ii)
21.70 cm
(iii)
16.70 cm
(iv)
26.70 cm
(v)
24.70 cm
Question
13
13.
If the radius of a circle is 15.00 cm and the area of a sector is 223.93 sq.cm, the perimeter of the sector is
(i)
62.86 cm
(ii)
64.86 cm
(iii)
56.86 cm
(iv)
54.86 cm
(v)
59.86 cm
Question
14
14.
If the radius of a circle is 12.00 cm and the area of a sector is 149.60 sq.cm, the area of the circle is
(i)
464.57 sq.cm
(ii)
429.57 sq.cm
(iii)
452.57 sq.cm
(iv)
456.57 sq.cm
(v)
444.57 sq.cm
Question
15
15.
If the radius of a circle is 14.00 cm and the area of a sector is 109.51 sq.cm, the perimeter of the circle is
(i)
91.00 cm
(ii)
93.00 cm
(iii)
88.00 cm
(iv)
85.00 cm
(v)
83.00 cm
Question
16
16.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 42.93 cm, the angle subtended at the center by the arc of the sector is
(i)
109.00°
(ii)
133.00°
(iii)
111.00°
(iv)
82.00°
(v)
102.00°
Question
17
17.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 57.82 cm, the length of the arc of the sector is
(i)
34.82 cm
(ii)
29.82 cm
(iii)
32.82 cm
(iv)
26.82 cm
(v)
24.82 cm
Question
18
18.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 47.16 cm, the area of the sector is
(i)
114.38 sq.cm
(ii)
138.38 sq.cm
(iii)
160.38 sq.cm
(iv)
140.38 sq.cm
(v)
134.38 sq.cm
Question
19
19.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 44.27 cm, the area of the circle is
(i)
341.29 sq.cm
(ii)
330.29 sq.cm
(iii)
299.29 sq.cm
(iv)
314.29 sq.cm
(v)
308.29 sq.cm
Question
20
20.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 56.27 cm, the perimeter of the circle is
(i)
78.43 cm
(ii)
80.43 cm
(iii)
72.43 cm
(iv)
75.43 cm
(v)
70.43 cm
Question
21
21.
If the area of a sector of a circle is 216.07 sq.cm and the angle subtended at the center by the arc of the sector is 110.00°, the radius of the circle is
(i)
15.00 cm
(ii)
12.00 cm
(iii)
18.00 cm
(iv)
10.00 cm
(v)
20.00 cm
Question
22
22.
If the area of a sector of a circle is 139.44 sq.cm and the angle subtended at the center by the arc of the sector is 132.00°, the length of the arc of the sector is
(i)
25.35 cm
(ii)
30.35 cm
(iii)
28.35 cm
(iv)
20.35 cm
(v)
22.35 cm
Question
23
23.
If the area of a sector of a circle is 44.52 sq.cm and the angle subtended at the center by the arc of the sector is 51.00°, the perimeter of the sector is
(i)
28.91 cm
(ii)
25.91 cm
(iii)
33.91 cm
(iv)
23.91 cm
(v)
31.91 cm
Question
24
24.
If the area of a sector of a circle is 58.10 sq.cm and the angle subtended at the center by the arc of the sector is 55.00°, the area of the circle is
(i)
396.29 sq.cm
(ii)
368.29 sq.cm
(iii)
380.29 sq.cm
(iv)
363.29 sq.cm
(v)
395.29 sq.cm
Question
25
25.
If the area of a sector of a circle is 153.37 sq.cm and the angle subtended at the center by the arc of the sector is 122.00°, the perimeter of the circle is
(i)
78.43 cm
(ii)
75.43 cm
(iii)
72.43 cm
(iv)
70.43 cm
(v)
80.43 cm
Question
26
26.
If the area of a sector of a circle is 86.74 sq.cm and the length of the arc of the sector is 14.46 cm, the radius of the circle is
(i)
9.00 cm
(ii)
17.00 cm
(iii)
7.00 cm
(iv)
12.00 cm
(v)
15.00 cm
Question
27
27.
If the area of a sector of a circle is 40.14 sq.cm and the length of the arc of the sector is 7.30 cm, the angle subtended at the center by the arc of the sector is
(i)
41.00°
(ii)
33.00°
(iii)
35.00°
(iv)
43.00°
(v)
38.00°
Question
28
28.
If the area of a sector of a circle is 194.86 sq.cm and the length of the arc of the sector is 32.48 cm, the perimeter of the sector is
(i)
56.48 cm
(ii)
61.48 cm
(iii)
53.48 cm
(iv)
51.48 cm
(v)
59.48 cm
Question
29
29.
If the area of a sector of a circle is 232.71 sq.cm and the length of the arc of the sector is 33.24 cm, the area of the circle is
(i)
641.00 sq.cm
(ii)
608.00 sq.cm
(iii)
616.00 sq.cm
(iv)
629.00 sq.cm
(v)
592.00 sq.cm
Question
30
30.
If the area of a sector of a circle is 60.89 sq.cm and the length of the arc of the sector is 8.12 cm, the perimeter of the circle is
(i)
91.29 cm
(ii)
89.29 cm
(iii)
97.29 cm
(iv)
94.29 cm
(v)
99.29 cm
Question
31
31.
If the area of a sector of a circle is 160.91 sq.cm and the area of the circle is 452.57 sq.cm, the radius of the circle is
(i)
9.00 cm
(ii)
15.00 cm
(iii)
17.00 cm
(iv)
7.00 cm
(v)
12.00 cm
Question
32
32.
If the area of a sector of a circle is 117.86 sq.cm and the area of the circle is 314.29 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
153.00°
(ii)
139.00°
(iii)
118.00°
(iv)
135.00°
Question
33
33.
If the area of a sector of a circle is 109.13 sq.cm and the area of the circle is 314.29 sq.cm, the length of the arc of the sector is
(i)
18.83 cm
(ii)
24.83 cm
(iii)
16.83 cm
(iv)
21.83 cm
(v)
26.83 cm
Question
34
34.
If the area of a sector of a circle is 116.56 sq.cm and the area of the circle is 531.14 sq.cm, the perimeter of the sector is
(i)
40.93 cm
(ii)
43.93 cm
(iii)
48.93 cm
(iv)
46.93 cm
(v)
38.93 cm
Question
35
35.
If the area of a sector of a circle is 61.11 sq.cm and the area of the circle is 314.29 sq.cm, the perimeter of the circle is
(i)
65.86 cm
(ii)
57.86 cm
(iii)
67.86 cm
(iv)
62.86 cm
(v)
59.86 cm
Question
36
36.
If the length of the arc of a sector is 37.68 cm and the angle subtended at the center by the arc of the sector is 166.00°, the radius of the circle is
(i)
16.00 cm
(ii)
10.00 cm
(iii)
8.00 cm
(iv)
13.00 cm
(v)
18.00 cm
Question
37
37.
If the length of the arc of a sector is 26.64 cm and the angle subtended at the center by the arc of the sector is 109.00°, the area of the sector is
(i)
186.51 sq.cm
(ii)
162.51 sq.cm
(iii)
208.51 sq.cm
(iv)
204.51 sq.cm
(v)
179.51 sq.cm
Question
38
38.
If the length of the arc of a sector is 17.67 cm and the angle subtended at the center by the arc of the sector is 92.00°, the perimeter of the sector is
(i)
34.67 cm
(ii)
39.67 cm
(iii)
42.67 cm
(iv)
44.67 cm
(v)
36.67 cm
Question
39
39.
If the length of the arc of a sector is 17.46 cm and the angle subtended at the center by the arc of the sector is 100.00°, the area of the circle is
(i)
312.29 sq.cm
(ii)
314.29 sq.cm
(iii)
320.29 sq.cm
(iv)
301.29 sq.cm
(v)
332.29 sq.cm
Question
40
40.
If the length of the arc of a sector is 24.20 cm and the angle subtended at the center by the arc of the sector is 126.00°, the perimeter of the circle is
(i)
74.14 cm
(ii)
69.14 cm
(iii)
64.14 cm
(iv)
66.14 cm
(v)
72.14 cm
Question
41
41.
If the length of the arc of a sector is 27.46 cm and the area of the circle is 380.29 sq.cm, the radius of the circle is
(i)
8.00 cm
(ii)
14.00 cm
(iii)
16.00 cm
(iv)
11.00 cm
(v)
6.00 cm
Question
42
42.
If the length of the arc of a sector is 17.11 cm and the area of the circle is 314.29 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
101.00°
(ii)
93.00°
(iii)
98.00°
(iv)
95.00°
(v)
103.00°
Question
43
43.
If the length of the arc of a sector is 12.75 cm and the area of the circle is 314.29 sq.cm, the area of the sector is
(i)
60.73 sq.cm
(ii)
66.73 sq.cm
(iii)
63.73 sq.cm
(iv)
58.73 sq.cm
(v)
68.73 sq.cm
Question
44
44.
If the length of the arc of a sector is 23.61 cm and the area of the circle is 531.14 sq.cm, the perimeter of the sector is
(i)
49.61 cm
(ii)
52.61 cm
(iii)
46.61 cm
(iv)
44.61 cm
(v)
54.61 cm
Question
45
45.
If the length of the arc of a sector is 10.21 cm and the area of the circle is 531.14 sq.cm, the perimeter of the circle is
(i)
84.71 cm
(ii)
81.71 cm
(iii)
86.71 cm
(iv)
78.71 cm
(v)
76.71 cm
Question
46
46.
If the length of the arc of a sector is 24.51 cm and the perimeter of the circle is 81.71 cm, the radius of the circle is
(i)
8.00 cm
(ii)
13.00 cm
(iii)
16.00 cm
(iv)
10.00 cm
(v)
18.00 cm
Question
47
47.
If the length of the arc of a sector is 10.37 cm and the perimeter of the circle is 69.14 cm, the angle subtended at the center by the arc of the sector is
(i)
51.00°
(ii)
54.00°
(iii)
59.00°
(iv)
57.00°
(v)
49.00°
Question
48
48.
If the length of the arc of a sector is 9.43 cm and the perimeter of the circle is 75.43 cm, the area of the sector is
(i)
53.57 sq.cm
(ii)
51.57 sq.cm
(iii)
56.57 sq.cm
(iv)
61.57 sq.cm
(v)
59.57 sq.cm
Question
49
49.
If the length of the arc of a sector is 21.79 cm and the perimeter of the circle is 81.71 cm, the perimeter of the sector is
(i)
47.79 cm
(ii)
42.79 cm
(iii)
44.79 cm
(iv)
50.79 cm
(v)
52.79 cm
Question
50
50.
If the length of the arc of a sector is 31.11 cm and the perimeter of the circle is 69.14 cm, the area of the circle is
(i)
398.29 sq.cm
(ii)
380.29 sq.cm
(iii)
394.29 sq.cm
(iv)
365.29 sq.cm
(v)
363.29 sq.cm
Assignment Key
1) (v)
2) (iii)
3) (iv)
4) (v)
5) (i)
6) (iii)
7) (ii)
8) (ii)
9) (v)
10) (iii)
11) (iii)
12) (ii)
13) (v)
14) (iii)
15) (iii)
16) (i)
17) (ii)
18) (ii)
19) (iv)
20) (iv)
21) (i)
22) (i)
23) (i)
24) (iii)
25) (ii)
26) (iv)
27) (v)
28) (i)
29) (iii)
30) (iv)
31) (v)
32) (iv)
33) (iv)
34) (ii)
35) (iv)
36) (iv)
37) (i)
38) (ii)
39) (ii)
40) (ii)
41) (iv)
42) (iii)
43) (iii)
44) (i)
45) (ii)
46) (ii)
47) (ii)
48) (iii)
49) (i)
50) (ii)
