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 14.00 cm and the angle subtended at the center by the arc of a sector is 132.00°, the length of the arc of the sector is
(i)
29.27 cm
(ii)
32.27 cm
(iii)
35.27 cm
(iv)
27.27 cm
(v)
37.27 cm
Question
2
2.
If the radius of a circle is 13.00 cm and the angle subtended at the center by the arc of a sector is 87.00°, the area of the sector is
(i)
150.36 sq.cm
(ii)
123.36 sq.cm
(iii)
105.36 sq.cm
(iv)
128.36 sq.cm
(v)
132.36 sq.cm
Question
3
3.
If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 82.00°, the perimeter of the sector is
(i)
40.75 cm
(ii)
42.75 cm
(iii)
37.75 cm
(iv)
34.75 cm
(v)
32.75 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 143.00°, the area of the circle is
(i)
602.00 sq.cm
(ii)
624.00 sq.cm
(iii)
610.00 sq.cm
(iv)
616.00 sq.cm
(v)
643.00 sq.cm
Question
5
5.
If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 89.00°, the perimeter of the circle is
(i)
74.14 cm
(ii)
64.14 cm
(iii)
72.14 cm
(iv)
66.14 cm
(v)
69.14 cm
Question
6
6.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 13.45 cm, the angle subtended at the center by the arc of the sector is
(i)
74.00°
(ii)
77.00°
(iii)
72.00°
(iv)
82.00°
(v)
80.00°
Question
7
7.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 14.21 cm, the area of the sector is
(i)
75.17 sq.cm
(ii)
81.17 sq.cm
(iii)
78.17 sq.cm
(iv)
73.17 sq.cm
(v)
83.17 sq.cm
Question
8
8.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 20.25 cm, the perimeter of the sector is
(i)
40.25 cm
(ii)
37.25 cm
(iii)
43.25 cm
(iv)
35.25 cm
(v)
45.25 cm
Question
9
9.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 16.32 cm, the area of the circle is
(i)
380.29 sq.cm
(ii)
387.29 sq.cm
(iii)
374.29 sq.cm
(iv)
407.29 sq.cm
(v)
368.29 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 10.48 cm, the perimeter of the circle is
(i)
94.29 cm
(ii)
99.29 cm
(iii)
91.29 cm
(iv)
97.29 cm
(v)
89.29 cm
Question
11
11.
If the radius of a circle is 12.00 cm and the area of a sector is 178.51 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
142.00°
(ii)
130.00°
(iii)
168.00°
(iv)
125.00°
(v)
160.00°
Question
12
12.
If the radius of a circle is 12.00 cm and the area of a sector is 114.40 sq.cm, the length of the arc of the sector is
(i)
22.07 cm
(ii)
16.07 cm
(iii)
19.07 cm
(iv)
24.07 cm
(v)
14.07 cm
Question
13
13.
If the radius of a circle is 13.00 cm and the area of a sector is 228.69 sq.cm, the perimeter of the sector is
(i)
56.18 cm
(ii)
64.18 cm
(iii)
58.18 cm
(iv)
61.18 cm
(v)
66.18 cm
Question
14
14.
If the radius of a circle is 13.00 cm and the area of a sector is 70.82 sq.cm, the area of the circle is
(i)
557.14 sq.cm
(ii)
526.14 sq.cm
(iii)
509.14 sq.cm
(iv)
531.14 sq.cm
(v)
545.14 sq.cm
Question
15
15.
If the radius of a circle is 15.00 cm and the area of a sector is 184.64 sq.cm, the perimeter of the circle is
(i)
91.29 cm
(ii)
99.29 cm
(iii)
97.29 cm
(iv)
89.29 cm
(v)
94.29 cm
Question
16
16.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 51.38 cm, the angle subtended at the center by the arc of the sector is
(i)
168.00°
(ii)
131.00°
(iii)
149.00°
(iv)
153.00°
(v)
166.00°
Question
17
17.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 32.80 cm, the length of the arc of the sector is
(i)
8.80 cm
(ii)
7.80 cm
(iii)
9.80 cm
(iv)
6.80 cm
(v)
10.80 cm
Question
18
18.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 44.62 cm, the area of the sector is
(i)
123.36 sq.cm
(ii)
113.36 sq.cm
(iii)
116.36 sq.cm
(iv)
102.36 sq.cm
(v)
138.36 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)
545.14 sq.cm
(ii)
531.14 sq.cm
(iii)
526.14 sq.cm
(iv)
543.14 sq.cm
(v)
509.14 sq.cm
Question
20
20.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 74.00 cm, the perimeter of the circle is
(i)
91.29 cm
(ii)
97.29 cm
(iii)
99.29 cm
(iv)
94.29 cm
(v)
89.29 cm
Question
21
21.
If the area of a sector of a circle is 45.42 sq.cm and the angle subtended at the center by the arc of the sector is 43.00°, the radius of the circle is
(i)
14.00 cm
(ii)
16.00 cm
(iii)
8.00 cm
(iv)
11.00 cm
(v)
6.00 cm
Question
22
22.
If the area of a sector of a circle is 326.07 sq.cm and the angle subtended at the center by the arc of the sector is 166.00°, the length of the arc of the sector is
(i)
38.48 cm
(ii)
46.48 cm
(iii)
48.48 cm
(iv)
40.48 cm
(v)
43.48 cm
Question
23
23.
If the area of a sector of a circle is 280.89 sq.cm and the angle subtended at the center by the arc of the sector is 143.00°, the perimeter of the sector is
(i)
70.45 cm
(ii)
72.45 cm
(iii)
62.45 cm
(iv)
64.45 cm
(v)
67.45 cm
Question
24
24.
If the area of a sector of a circle is 111.89 sq.cm and the angle subtended at the center by the arc of the sector is 89.00°, the area of the circle is
(i)
452.57 sq.cm
(ii)
438.57 sq.cm
(iii)
469.57 sq.cm
(iv)
434.57 sq.cm
(v)
456.57 sq.cm
Question
25
25.
If the area of a sector of a circle is 191.80 sq.cm and the angle subtended at the center by the arc of the sector is 130.00°, the perimeter of the circle is
(i)
76.71 cm
(ii)
84.71 cm
(iii)
81.71 cm
(iv)
78.71 cm
(v)
86.71 cm
Question
26
26.
If the area of a sector of a circle is 205.08 sq.cm and the length of the arc of the sector is 31.55 cm, the radius of the circle is
(i)
16.00 cm
(ii)
13.00 cm
(iii)
8.00 cm
(iv)
10.00 cm
(v)
18.00 cm
Question
27
27.
If the area of a sector of a circle is 246.39 sq.cm and the length of the arc of the sector is 37.90 cm, the angle subtended at the center by the arc of the sector is
(i)
155.00°
(ii)
183.00°
(iii)
171.00°
(iv)
167.00°
(v)
152.00°
Question
28
28.
If the area of a sector of a circle is 35.79 sq.cm and the length of the arc of the sector is 7.16 cm, the perimeter of the sector is
(i)
30.16 cm
(ii)
24.16 cm
(iii)
22.16 cm
(iv)
32.16 cm
(v)
27.16 cm
Question
29
29.
If the area of a sector of a circle is 134.45 sq.cm and the length of the arc of the sector is 26.89 cm, the area of the circle is
(i)
331.29 sq.cm
(ii)
314.29 sq.cm
(iii)
308.29 sq.cm
(iv)
288.29 sq.cm
(v)
326.29 sq.cm
Question
30
30.
If the area of a sector of a circle is 148.34 sq.cm and the length of the arc of the sector is 24.72 cm, the perimeter of the circle is
(i)
72.43 cm
(ii)
78.43 cm
(iii)
75.43 cm
(iv)
70.43 cm
(v)
80.43 cm
Question
31
31.
If the area of a sector of a circle is 92.54 sq.cm and the area of the circle is 314.29 sq.cm, the radius of the circle is
(i)
5.00 cm
(ii)
10.00 cm
(iii)
15.00 cm
(iv)
13.00 cm
(v)
7.00 cm
Question
32
32.
If the area of a sector of a circle is 239.64 sq.cm and the area of the circle is 707.14 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
137.00°
(ii)
109.00°
(iii)
122.00°
(iv)
95.00°
(v)
128.00°
Question
33
33.
If the area of a sector of a circle is 127.82 sq.cm and the area of the circle is 380.29 sq.cm, the length of the arc of the sector is
(i)
28.24 cm
(ii)
20.24 cm
(iii)
18.24 cm
(iv)
23.24 cm
(v)
26.24 cm
Question
34
34.
If the area of a sector of a circle is 165.85 sq.cm and the area of the circle is 380.29 sq.cm, the perimeter of the sector is
(i)
55.15 cm
(ii)
52.15 cm
(iii)
49.15 cm
(iv)
57.15 cm
(v)
47.15 cm
Question
35
35.
If the area of a sector of a circle is 71.83 sq.cm and the area of the circle is 380.29 sq.cm, 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
36
36.
If the length of the arc of a sector is 23.15 cm and the angle subtended at the center by the arc of the sector is 102.00°, the radius of the circle is
(i)
13.00 cm
(ii)
8.00 cm
(iii)
16.00 cm
(iv)
10.00 cm
(v)
18.00 cm
Question
37
37.
If the length of the arc of a sector is 32.27 cm and the angle subtended at the center by the arc of the sector is 168.00°, the area of the sector is
(i)
177.47 sq.cm
(ii)
204.47 sq.cm
(iii)
184.47 sq.cm
(iv)
165.47 sq.cm
(v)
161.47 sq.cm
Question
38
38.
If the length of the arc of a sector is 22.42 cm and the angle subtended at the center by the arc of the sector is 107.00°, the perimeter of the sector is
(i)
41.42 cm
(ii)
43.42 cm
(iii)
46.42 cm
(iv)
51.42 cm
(v)
49.42 cm
Question
39
39.
If the length of the arc of a sector is 10.13 cm and the angle subtended at the center by the arc of the sector is 58.00°, the area of the circle is
(i)
302.29 sq.cm
(ii)
310.29 sq.cm
(iii)
320.29 sq.cm
(iv)
314.29 sq.cm
(v)
336.29 sq.cm
Question
40
40.
If the length of the arc of a sector is 11.52 cm and the angle subtended at the center by the arc of the sector is 66.00°, the perimeter of the circle is
(i)
59.86 cm
(ii)
62.86 cm
(iii)
65.86 cm
(iv)
67.86 cm
(v)
57.86 cm
Question
41
41.
If the length of the arc of a sector is 30.80 cm and the area of the circle is 616.00 sq.cm, the radius of the circle is
(i)
17.00 cm
(ii)
14.00 cm
(iii)
9.00 cm
(iv)
19.00 cm
(v)
11.00 cm
Question
42
42.
If the length of the arc of a sector is 18.84 cm and the area of the circle is 531.14 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
78.00°
(ii)
86.00°
(iii)
80.00°
(iv)
83.00°
(v)
88.00°
Question
43
43.
If the length of the arc of a sector is 9.29 cm and the area of the circle is 616.00 sq.cm, the area of the sector is
(i)
68.02 sq.cm
(ii)
62.02 sq.cm
(iii)
60.02 sq.cm
(iv)
65.02 sq.cm
(v)
70.02 sq.cm
Question
44
44.
If the length of the arc of a sector is 15.16 cm and the area of the circle is 616.00 sq.cm, the perimeter of the sector is
(i)
43.16 cm
(ii)
46.16 cm
(iii)
40.16 cm
(iv)
48.16 cm
(v)
38.16 cm
Question
45
45.
If the length of the arc of a sector is 26.31 cm and the area of the circle is 380.29 sq.cm, the perimeter of the circle is
(i)
64.14 cm
(ii)
66.14 cm
(iii)
72.14 cm
(iv)
74.14 cm
(v)
69.14 cm
Question
46
46.
If the length of the arc of a sector is 25.67 cm and the perimeter of the circle is 62.86 cm, the radius of the circle is
(i)
10.00 cm
(ii)
13.00 cm
(iii)
7.00 cm
(iv)
15.00 cm
(v)
5.00 cm
Question
47
47.
If the length of the arc of a sector is 15.17 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)
76.00°
(ii)
84.00°
(iii)
79.00°
(iv)
74.00°
(v)
82.00°
Question
48
48.
If the length of the arc of a sector is 23.05 cm and the perimeter of the circle is 75.43 cm, the area of the sector is
(i)
136.29 sq.cm
(ii)
115.29 sq.cm
(iii)
165.29 sq.cm
(iv)
138.29 sq.cm
(v)
154.29 sq.cm
Question
49
49.
If the length of the arc of a sector is 25.32 cm and the perimeter of the circle is 62.86 cm, the perimeter of the sector is
(i)
50.32 cm
(ii)
45.32 cm
(iii)
40.32 cm
(iv)
48.32 cm
(v)
42.32 cm
Question
50
50.
If the length of the arc of a sector is 19.07 cm and the perimeter of the circle is 75.43 cm, the area of the circle is
(i)
445.57 sq.cm
(ii)
452.57 sq.cm
(iii)
438.57 sq.cm
(iv)
469.57 sq.cm
(v)
477.57 sq.cm
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (iv)
5) (v)
6) (ii)
7) (iii)
8) (i)
9) (i)
10) (i)
11) (i)
12) (iii)
13) (iv)
14) (iv)
15) (v)
16) (iv)
17) (i)
18) (iii)
19) (ii)
20) (iv)
21) (iv)
22) (v)
23) (v)
24) (i)
25) (iii)
26) (ii)
27) (iv)
28) (v)
29) (ii)
30) (iii)
31) (ii)
32) (iii)
33) (iv)
34) (ii)
35) (iv)
36) (i)
37) (i)
38) (iii)
39) (iv)
40) (ii)
41) (ii)
42) (iv)
43) (iv)
44) (i)
45) (v)
46) (i)
47) (iii)
48) (iv)
49) (ii)
50) (ii)
