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 52.00°, the length of the arc of the sector is
(i)
10.99 cm
(ii)
11.99 cm
(iii)
7.99 cm
(iv)
8.99 cm
(v)
9.99 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)
79.40 sq.cm
(iii)
77.40 sq.cm
(iv)
82.40 sq.cm
(v)
85.40 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 76.00°, the perimeter of the sector is
(i)
48.25 cm
(ii)
38.25 cm
(iii)
43.25 cm
(iv)
40.25 cm
(v)
46.25 cm
Question
4
4.
If the radius of a circle is 15.00 cm and the angle subtended at the center by the arc of a sector is 98.00°, the area of the circle is
(i)
684.14 sq.cm
(ii)
699.14 sq.cm
(iii)
735.14 sq.cm
(iv)
711.14 sq.cm
(v)
707.14 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 167.00°, the perimeter of the circle is
(i)
67.86 cm
(ii)
62.86 cm
(iii)
57.86 cm
(iv)
59.86 cm
(v)
65.86 cm
Question
6
6.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 10.27 cm, the angle subtended at the center by the arc of the sector is
(i)
49.00°
(ii)
46.00°
(iii)
54.00°
(iv)
52.00°
(v)
44.00°
Question
7
7.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 31.88 cm, the area of the sector is
(i)
180.36 sq.cm
(ii)
173.36 sq.cm
(iii)
157.36 sq.cm
(iv)
175.36 sq.cm
(v)
198.36 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 27.38 cm, the perimeter of the sector is
(i)
58.38 cm
(ii)
50.38 cm
(iii)
60.38 cm
(iv)
55.38 cm
(v)
52.38 cm
Question
9
9.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 18.33 cm, the area of the circle is
(i)
320.29 sq.cm
(ii)
327.29 sq.cm
(iii)
291.29 sq.cm
(iv)
306.29 sq.cm
(v)
314.29 sq.cm
Question
10
10.
If the radius of a circle is 15.00 cm and the length of the arc of a sector is 42.17 cm, the perimeter of the circle is
(i)
97.29 cm
(ii)
94.29 cm
(iii)
91.29 cm
(iv)
89.29 cm
(v)
99.29 cm
Question
11
11.
If the radius of a circle is 14.00 cm and the area of a sector is 143.73 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
87.00°
(ii)
81.00°
(iii)
89.00°
(iv)
79.00°
(v)
84.00°
Question
12
12.
If the radius of a circle is 12.00 cm and the area of a sector is 154.63 sq.cm, the length of the arc of the sector is
(i)
22.77 cm
(ii)
28.77 cm
(iii)
20.77 cm
(iv)
25.77 cm
(v)
30.77 cm
Question
13
13.
If the radius of a circle is 13.00 cm and the area of a sector is 113.60 sq.cm, the perimeter of the sector is
(i)
38.48 cm
(ii)
48.48 cm
(iii)
40.48 cm
(iv)
43.48 cm
(v)
46.48 cm
Question
14
14.
If the radius of a circle is 15.00 cm and the area of a sector is 206.25 sq.cm, the area of the circle is
(i)
711.14 sq.cm
(ii)
730.14 sq.cm
(iii)
679.14 sq.cm
(iv)
690.14 sq.cm
(v)
707.14 sq.cm
Question
15
15.
If the radius of a circle is 13.00 cm and the area of a sector is 92.95 sq.cm, the perimeter of the circle is
(i)
84.71 cm
(ii)
78.71 cm
(iii)
86.71 cm
(iv)
81.71 cm
(v)
76.71 cm
Question
16
16.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 38.71 cm, the angle subtended at the center by the arc of the sector is
(i)
56.00°
(ii)
51.00°
(iii)
53.00°
(iv)
61.00°
(v)
59.00°
Question
17
17.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 66.62 cm, the length of the arc of the sector is
(i)
35.62 cm
(ii)
38.62 cm
(iii)
33.62 cm
(iv)
41.62 cm
(v)
43.62 cm
Question
18
18.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 67.98 cm, the area of the sector is
(i)
270.82 sq.cm
(ii)
256.82 sq.cm
(iii)
300.82 sq.cm
(iv)
302.82 sq.cm
(v)
284.82 sq.cm
Question
19
19.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 48.02 cm, the area of the circle is
(i)
548.14 sq.cm
(ii)
543.14 sq.cm
(iii)
509.14 sq.cm
(iv)
527.14 sq.cm
(v)
531.14 sq.cm
Question
20
20.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 54.89 cm, the perimeter of the circle is
(i)
85.00 cm
(ii)
93.00 cm
(iii)
83.00 cm
(iv)
91.00 cm
(v)
88.00 cm
Question
21
21.
If the area of a sector of a circle is 85.57 sq.cm and the angle subtended at the center by the arc of the sector is 81.00°, the radius of the circle is
(i)
8.00 cm
(ii)
14.00 cm
(iii)
16.00 cm
(iv)
6.00 cm
(v)
11.00 cm
Question
22
22.
If the area of a sector of a circle is 130.08 sq.cm and the angle subtended at the center by the arc of the sector is 149.00°, the length of the arc of the sector is
(i)
29.02 cm
(ii)
26.02 cm
(iii)
23.02 cm
(iv)
21.02 cm
(v)
31.02 cm
Question
23
23.
If the area of a sector of a circle is 189.83 sq.cm and the angle subtended at the center by the arc of the sector is 151.00°, the perimeter of the sector is
(i)
60.64 cm
(ii)
58.64 cm
(iii)
55.64 cm
(iv)
50.64 cm
(v)
52.64 cm
Question
24
24.
If the area of a sector of a circle is 117.86 sq.cm and the angle subtended at the center by the arc of the sector is 60.00°, the area of the circle is
(i)
705.14 sq.cm
(ii)
707.14 sq.cm
(iii)
730.14 sq.cm
(iv)
680.14 sq.cm
(v)
712.14 sq.cm
Question
25
25.
If the area of a sector of a circle is 144.92 sq.cm and the angle subtended at the center by the arc of the sector is 166.00°, the perimeter of the circle is
(i)
62.86 cm
(ii)
57.86 cm
(iii)
65.86 cm
(iv)
67.86 cm
(v)
59.86 cm
Question
26
26.
If the area of a sector of a circle is 84.46 sq.cm and the length of the arc of the sector is 11.26 cm, the radius of the circle is
(i)
15.00 cm
(ii)
18.00 cm
(iii)
20.00 cm
(iv)
12.00 cm
(v)
10.00 cm
Question
27
27.
If the area of a sector of a circle is 67.87 sq.cm and the length of the arc of the sector is 10.44 cm, the angle subtended at the center by the arc of the sector is
(i)
46.00°
(ii)
49.00°
(iii)
41.00°
(iv)
51.00°
(v)
43.00°
Question
28
28.
If the area of a sector of a circle is 151.97 sq.cm and the length of the arc of the sector is 23.38 cm, the perimeter of the sector is
(i)
44.38 cm
(ii)
49.38 cm
(iii)
54.38 cm
(iv)
46.38 cm
(v)
52.38 cm
Question
29
29.
If the area of a sector of a circle is 155.18 sq.cm and the length of the arc of the sector is 20.69 cm, the area of the circle is
(i)
683.14 sq.cm
(ii)
719.14 sq.cm
(iii)
707.14 sq.cm
(iv)
735.14 sq.cm
(v)
700.14 sq.cm
Question
30
30.
If the area of a sector of a circle is 306.43 sq.cm and the length of the arc of the sector is 40.86 cm, the perimeter of the circle is
(i)
99.29 cm
(ii)
91.29 cm
(iii)
97.29 cm
(iv)
89.29 cm
(v)
94.29 cm
Question
31
31.
If the area of a sector of a circle is 201.91 sq.cm and the area of the circle is 616.00 sq.cm, the radius of the circle is
(i)
14.00 cm
(ii)
17.00 cm
(iii)
19.00 cm
(iv)
9.00 cm
(v)
11.00 cm
Question
32
32.
If the area of a sector of a circle is 84.68 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)
100.00°
(ii)
102.00°
(iii)
97.00°
(iv)
92.00°
(v)
94.00°
Question
33
33.
If the area of a sector of a circle is 164.69 sq.cm and the area of the circle is 452.57 sq.cm, the length of the arc of the sector is
(i)
30.45 cm
(ii)
22.45 cm
(iii)
24.45 cm
(iv)
32.45 cm
(v)
27.45 cm
Question
34
34.
If the area of a sector of a circle is 241.61 sq.cm and the area of the circle is 707.14 sq.cm, the perimeter of the sector is
(i)
62.22 cm
(ii)
67.22 cm
(iii)
65.22 cm
(iv)
57.22 cm
(v)
59.22 cm
Question
35
35.
If the area of a sector of a circle is 201.91 sq.cm and the area of the circle is 616.00 sq.cm, the perimeter of the circle is
(i)
91.00 cm
(ii)
88.00 cm
(iii)
93.00 cm
(iv)
85.00 cm
(v)
83.00 cm
Question
36
36.
If the length of the arc of a sector is 13.69 cm and the angle subtended at the center by the arc of the sector is 56.00°, the radius of the circle is
(i)
9.00 cm
(ii)
19.00 cm
(iii)
14.00 cm
(iv)
11.00 cm
(v)
17.00 cm
Question
37
37.
If the length of the arc of a sector is 9.60 cm and the angle subtended at the center by the arc of the sector is 50.00°, the area of the sector is
(i)
55.82 sq.cm
(ii)
47.82 sq.cm
(iii)
49.82 sq.cm
(iv)
57.82 sq.cm
(v)
52.82 sq.cm
Question
38
38.
If the length of the arc of a sector is 8.12 cm and the angle subtended at the center by the arc of the sector is 31.00°, the perimeter of the sector is
(i)
43.12 cm
(ii)
35.12 cm
(iii)
41.12 cm
(iv)
33.12 cm
(v)
38.12 cm
Question
39
39.
If the length of the arc of a sector is 12.78 cm and the angle subtended at the center by the arc of the sector is 61.00°, the area of the circle is
(i)
470.57 sq.cm
(ii)
477.57 sq.cm
(iii)
440.57 sq.cm
(iv)
452.57 sq.cm
(v)
428.57 sq.cm
Question
40
40.
If the length of the arc of a sector is 24.93 cm and the angle subtended at the center by the arc of the sector is 119.00°, the perimeter of the circle is
(i)
70.43 cm
(ii)
78.43 cm
(iii)
72.43 cm
(iv)
75.43 cm
(v)
80.43 cm
Question
41
41.
If the length of the arc of a sector is 18.33 cm and the area of the circle is 616.00 sq.cm, the radius of the circle is
(i)
19.00 cm
(ii)
11.00 cm
(iii)
9.00 cm
(iv)
17.00 cm
(v)
14.00 cm
Question
42
42.
If the length of the arc of a sector is 10.27 cm and the area of the circle is 616.00 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
45.00°
(ii)
42.00°
(iii)
39.00°
(iv)
37.00°
(v)
47.00°
Question
43
43.
If the length of the arc of a sector is 17.39 cm and the area of the circle is 452.57 sq.cm, the area of the sector is
(i)
128.34 sq.cm
(ii)
88.34 sq.cm
(iii)
81.34 sq.cm
(iv)
107.34 sq.cm
(v)
104.34 sq.cm
Question
44
44.
If the length of the arc of a sector is 36.67 cm and the area of the circle is 707.14 sq.cm, the perimeter of the sector is
(i)
63.67 cm
(ii)
71.67 cm
(iii)
61.67 cm
(iv)
69.67 cm
(v)
66.67 cm
Question
45
45.
If the length of the arc of a sector is 9.53 cm and the area of the circle is 616.00 sq.cm, the perimeter of the circle is
(i)
93.00 cm
(ii)
85.00 cm
(iii)
83.00 cm
(iv)
91.00 cm
(v)
88.00 cm
Question
46
46.
If the length of the arc of a sector is 21.74 cm and the perimeter of the circle is 94.29 cm, the radius of the circle is
(i)
15.00 cm
(ii)
10.00 cm
(iii)
20.00 cm
(iv)
12.00 cm
(v)
18.00 cm
Question
47
47.
If the length of the arc of a sector is 7.75 cm and the perimeter of the circle is 75.43 cm, the angle subtended at the center by the arc of the sector is
(i)
42.00°
(ii)
34.00°
(iii)
32.00°
(iv)
37.00°
(v)
40.00°
Question
48
48.
If the length of the arc of a sector is 32.07 cm and the perimeter of the circle is 69.14 cm, the area of the sector is
(i)
162.41 sq.cm
(ii)
193.41 sq.cm
(iii)
171.41 sq.cm
(iv)
182.41 sq.cm
(v)
176.41 sq.cm
Question
49
49.
If the length of the arc of a sector is 13.36 cm and the perimeter of the circle is 94.29 cm, the perimeter of the sector is
(i)
43.36 cm
(ii)
40.36 cm
(iii)
38.36 cm
(iv)
46.36 cm
(v)
48.36 cm
Question
50
50.
If the length of the arc of a sector is 41.31 cm and the perimeter of the circle is 88.00 cm, the area of the circle is
(i)
633.00 sq.cm
(ii)
591.00 sq.cm
(iii)
618.00 sq.cm
(iv)
616.00 sq.cm
(v)
612.00 sq.cm
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (v)
5) (ii)
6) (i)
7) (iv)
8) (iv)
9) (v)
10) (ii)
11) (v)
12) (iv)
13) (iv)
14) (v)
15) (iv)
16) (i)
17) (ii)
18) (v)
19) (v)
20) (v)
21) (v)
22) (ii)
23) (iii)
24) (ii)
25) (i)
26) (i)
27) (i)
28) (ii)
29) (iii)
30) (v)
31) (i)
32) (iii)
33) (v)
34) (i)
35) (ii)
36) (iii)
37) (v)
38) (v)
39) (iv)
40) (iv)
41) (v)
42) (ii)
43) (v)
44) (v)
45) (v)
46) (i)
47) (iv)
48) (v)
49) (i)
50) (iv)
