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 161.00°, the length of the arc of the sector is
(i)
35.92 cm
(ii)
30.92 cm
(iii)
27.92 cm
(iv)
33.92 cm
(v)
25.92 cm
Question
2
2.
If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 97.00°, the area of the sector is
(i)
137.94 sq.cm
(ii)
121.94 sq.cm
(iii)
105.94 sq.cm
(iv)
148.94 sq.cm
(v)
116.94 sq.cm
Question
3
3.
If the radius of a circle is 14.00 cm and the angle subtended at the center by the arc of a sector is 144.00°, the perimeter of the sector is
(i)
63.20 cm
(ii)
60.20 cm
(iii)
58.20 cm
(iv)
66.20 cm
(v)
68.20 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 102.00°, the area of the circle is
(i)
362.29 sq.cm
(ii)
380.29 sq.cm
(iii)
374.29 sq.cm
(iv)
393.29 sq.cm
(v)
395.29 sq.cm
Question
5
5.
If the radius of a circle is 14.00 cm and the angle subtended at the center by the arc of a sector is 38.00°, the perimeter of the circle is
(i)
88.00 cm
(ii)
91.00 cm
(iii)
93.00 cm
(iv)
85.00 cm
(v)
83.00 cm
Question
6
6.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 21.51 cm, the angle subtended at the center by the arc of the sector is
(i)
112.00°
(ii)
95.00°
(iii)
119.00°
(iv)
98.00°
(v)
128.00°
Question
7
7.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 20.88 cm, the area of the sector is
(i)
122.74 sq.cm
(ii)
150.74 sq.cm
(iii)
135.74 sq.cm
(iv)
139.74 sq.cm
Question
8
8.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 13.20 cm, the perimeter of the sector is
(i)
34.20 cm
(ii)
42.20 cm
(iii)
32.20 cm
(iv)
40.20 cm
(v)
37.20 cm
Question
9
9.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 27.24 cm, the area of the circle is
(i)
297.29 sq.cm
(ii)
327.29 sq.cm
(iii)
338.29 sq.cm
(iv)
314.29 sq.cm
(v)
288.29 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 21.74 cm, the perimeter of the circle is
(i)
97.29 cm
(ii)
94.29 cm
(iii)
99.29 cm
(iv)
91.29 cm
(v)
89.29 cm
Question
11
11.
If the radius of a circle is 14.00 cm and the area of a sector is 196.78 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
115.00°
(ii)
102.00°
(iii)
121.00°
(iv)
133.00°
(v)
100.00°
Question
12
12.
If the radius of a circle is 14.00 cm and the area of a sector is 66.73 sq.cm, the length of the arc of the sector is
(i)
10.53 cm
(ii)
7.53 cm
(iii)
8.53 cm
(iv)
11.53 cm
(v)
9.53 cm
Question
13
13.
If the radius of a circle is 13.00 cm and the area of a sector is 47.21 sq.cm, the perimeter of the sector is
(i)
33.26 cm
(ii)
28.26 cm
(iii)
30.26 cm
(iv)
36.26 cm
(v)
38.26 cm
Question
14
14.
If the radius of a circle is 15.00 cm and the area of a sector is 326.07 sq.cm, the area of the circle is
(i)
724.14 sq.cm
(ii)
684.14 sq.cm
(iii)
701.14 sq.cm
(iv)
707.14 sq.cm
(v)
732.14 sq.cm
Question
15
15.
If the radius of a circle is 11.00 cm and the area of a sector is 106.69 sq.cm, the perimeter of the circle is
(i)
66.14 cm
(ii)
69.14 cm
(iii)
72.14 cm
(iv)
74.14 cm
(v)
64.14 cm
Question
16
16.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 58.80 cm, the angle subtended at the center by the arc of the sector is
(i)
126.00°
(ii)
141.00°
(iii)
122.00°
(iv)
133.00°
(v)
104.00°
Question
17
17.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 57.11 cm, the length of the arc of the sector is
(i)
33.11 cm
(ii)
38.11 cm
(iii)
28.11 cm
(iv)
36.11 cm
(v)
30.11 cm
Question
18
18.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 48.33 cm, the area of the sector is
(i)
149.50 sq.cm
(ii)
137.50 sq.cm
(iii)
129.50 sq.cm
(iv)
152.50 sq.cm
(v)
111.50 sq.cm
Question
19
19.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 39.17 cm, the area of the circle is
(i)
681.14 sq.cm
(ii)
707.14 sq.cm
(iii)
701.14 sq.cm
(iv)
734.14 sq.cm
(v)
725.14 sq.cm
Question
20
20.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 44.66 cm, the perimeter of the circle is
(i)
69.14 cm
(ii)
74.14 cm
(iii)
72.14 cm
(iv)
64.14 cm
(v)
66.14 cm
Question
21
21.
If the area of a sector of a circle is 121.79 sq.cm and the angle subtended at the center by the arc of the sector is 62.00°, 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
22
22.
If the area of a sector of a circle is 128.36 sq.cm and the angle subtended at the center by the arc of the sector is 87.00°, the length of the arc of the sector is
(i)
22.75 cm
(ii)
19.75 cm
(iii)
24.75 cm
(iv)
14.75 cm
(v)
16.75 cm
Question
23
23.
If the area of a sector of a circle is 95.90 sq.cm and the angle subtended at the center by the arc of the sector is 65.00°, the perimeter of the sector is
(i)
37.75 cm
(ii)
40.75 cm
(iii)
45.75 cm
(iv)
43.75 cm
(v)
35.75 cm
Question
24
24.
If the area of a sector of a circle is 62.33 sq.cm and the angle subtended at the center by the arc of the sector is 59.00°, the area of the circle is
(i)
373.29 sq.cm
(ii)
380.29 sq.cm
(iii)
383.29 sq.cm
(iv)
356.29 sq.cm
(v)
402.29 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)
72.43 cm
(ii)
78.43 cm
(iii)
75.43 cm
(iv)
70.43 cm
(v)
80.43 cm
Question
26
26.
If the area of a sector of a circle is 184.42 sq.cm and the length of the arc of the sector is 28.37 cm, the radius of the circle is
(i)
18.00 cm
(ii)
13.00 cm
(iii)
8.00 cm
(iv)
16.00 cm
(v)
10.00 cm
Question
27
27.
If the area of a sector of a circle is 89.05 sq.cm and the length of the arc of the sector is 17.81 cm, the angle subtended at the center by the arc of the sector is
(i)
128.00°
(ii)
86.00°
(iii)
102.00°
(iv)
100.00°
(v)
114.00°
Question
28
28.
If the area of a sector of a circle is 191.64 sq.cm and the length of the arc of the sector is 27.38 cm, the perimeter of the sector is
(i)
55.38 cm
(ii)
52.38 cm
(iii)
50.38 cm
(iv)
60.38 cm
(v)
58.38 cm
Question
29
29.
If the area of a sector of a circle is 230.16 sq.cm and the length of the arc of the sector is 35.41 cm, the area of the circle is
(i)
519.14 sq.cm
(ii)
531.14 sq.cm
(iii)
516.14 sq.cm
(iv)
558.14 sq.cm
(v)
539.14 sq.cm
Question
30
30.
If the area of a sector of a circle is 120.98 sq.cm and the length of the arc of the sector is 18.61 cm, the perimeter of the circle is
(i)
86.71 cm
(ii)
84.71 cm
(iii)
81.71 cm
(iv)
76.71 cm
(v)
78.71 cm
Question
31
31.
If the area of a sector of a circle is 220.00 sq.cm and the area of the circle is 707.14 sq.cm, the radius of the circle is
(i)
12.00 cm
(ii)
15.00 cm
(iii)
20.00 cm
(iv)
18.00 cm
(v)
10.00 cm
Question
32
32.
If the area of a sector of a circle is 119.37 sq.cm and the area of the circle is 380.29 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
131.00°
(ii)
110.00°
(iii)
113.00°
(iv)
91.00°
(v)
129.00°
Question
33
33.
If the area of a sector of a circle is 176.00 sq.cm and the area of the circle is 452.57 sq.cm, the length of the arc of the sector is
(i)
29.33 cm
(ii)
32.33 cm
(iii)
24.33 cm
(iv)
26.33 cm
(v)
34.33 cm
Question
34
34.
If the area of a sector of a circle is 145.83 sq.cm and the area of the circle is 452.57 sq.cm, the perimeter of the sector is
(i)
51.31 cm
(ii)
43.31 cm
(iii)
53.31 cm
(iv)
48.31 cm
(v)
45.31 cm
Question
35
35.
If the area of a sector of a circle is 167.69 sq.cm and the area of the circle is 616.00 sq.cm, the perimeter of the circle is
(i)
83.00 cm
(ii)
93.00 cm
(iii)
88.00 cm
(iv)
91.00 cm
(v)
85.00 cm
Question
36
36.
If the length of the arc of a sector is 15.19 cm and the angle subtended at the center by the arc of the sector is 58.00°, the radius of the circle is
(i)
10.00 cm
(ii)
12.00 cm
(iii)
15.00 cm
(iv)
18.00 cm
(v)
20.00 cm
Question
37
37.
If the length of the arc of a sector is 40.33 cm and the angle subtended at the center by the arc of the sector is 165.00°, the area of the sector is
(i)
282.33 sq.cm
(ii)
278.33 sq.cm
(iii)
290.33 sq.cm
(iv)
294.33 sq.cm
(v)
257.33 sq.cm
Question
38
38.
If the length of the arc of a sector is 27.08 cm and the angle subtended at the center by the arc of the sector is 141.00°, the perimeter of the sector is
(i)
49.08 cm
(ii)
46.08 cm
(iii)
54.08 cm
(iv)
44.08 cm
(v)
52.08 cm
Question
39
39.
If the length of the arc of a sector is 29.82 cm and the angle subtended at the center by the arc of the sector is 122.00°, the area of the circle is
(i)
602.00 sq.cm
(ii)
638.00 sq.cm
(iii)
616.00 sq.cm
(iv)
604.00 sq.cm
(v)
633.00 sq.cm
Question
40
40.
If the length of the arc of a sector is 34.27 cm and the angle subtended at the center by the arc of the sector is 151.00°, the perimeter of the circle is
(i)
86.71 cm
(ii)
81.71 cm
(iii)
84.71 cm
(iv)
78.71 cm
(v)
76.71 cm
Question
41
41.
If the length of the arc of a sector is 27.06 cm and the area of the circle is 314.29 sq.cm, the radius of the circle is
(i)
13.00 cm
(ii)
7.00 cm
(iii)
10.00 cm
(iv)
5.00 cm
(v)
15.00 cm
Question
42
42.
If the length of the arc of a sector is 6.64 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)
38.00°
(ii)
43.00°
(iii)
41.00°
(iv)
35.00°
(v)
33.00°
Question
43
43.
If the length of the arc of a sector is 22.66 cm and the area of the circle is 380.29 sq.cm, the area of the sector is
(i)
124.65 sq.cm
(ii)
99.65 sq.cm
(iii)
147.65 sq.cm
(iv)
127.65 sq.cm
(v)
106.65 sq.cm
Question
44
44.
If the length of the arc of a sector is 32.48 cm and the area of the circle is 707.14 sq.cm, the perimeter of the sector is
(i)
59.48 cm
(ii)
67.48 cm
(iii)
57.48 cm
(iv)
65.48 cm
(v)
62.48 cm
Question
45
45.
If the length of the arc of a sector is 20.04 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)
83.00 cm
(iv)
93.00 cm
(v)
85.00 cm
Question
46
46.
If the length of the arc of a sector is 13.41 cm and the perimeter of the circle is 75.43 cm, the radius of the circle is
(i)
7.00 cm
(ii)
12.00 cm
(iii)
9.00 cm
(iv)
17.00 cm
(v)
15.00 cm
Question
47
47.
If the length of the arc of a sector is 27.62 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)
129.00°
(iii)
101.00°
(iv)
130.00°
(v)
113.00°
Question
48
48.
If the length of the arc of a sector is 41.07 cm and the perimeter of the circle is 88.00 cm, the area of the sector is
(i)
287.47 sq.cm
(ii)
283.47 sq.cm
(iii)
302.47 sq.cm
(iv)
314.47 sq.cm
(v)
269.47 sq.cm
Question
49
49.
If the length of the arc of a sector is 28.81 cm and the perimeter of the circle is 69.14 cm, the perimeter of the sector is
(i)
55.81 cm
(ii)
45.81 cm
(iii)
53.81 cm
(iv)
47.81 cm
(v)
50.81 cm
Question
50
50.
If the length of the arc of a sector is 10.21 cm and the perimeter of the circle is 81.71 cm, the area of the circle is
(i)
543.14 sq.cm
(ii)
531.14 sq.cm
(iii)
517.14 sq.cm
(iv)
509.14 sq.cm
(v)
538.14 sq.cm
Assignment Key
1) (ii)
2) (ii)
3) (i)
4) (ii)
5) (i)
6) (i)
7) (iii)
8) (v)
9) (iv)
10) (ii)
11) (i)
12) (v)
13) (i)
14) (iv)
15) (ii)
16) (i)
17) (i)
18) (ii)
19) (ii)
20) (i)
21) (iii)
22) (ii)
23) (ii)
24) (ii)
25) (iii)
26) (ii)
27) (iii)
28) (i)
29) (ii)
30) (iii)
31) (ii)
32) (iii)
33) (i)
34) (iv)
35) (iii)
36) (iii)
37) (i)
38) (i)
39) (iii)
40) (ii)
41) (iii)
42) (i)
43) (i)
44) (v)
45) (ii)
46) (ii)
47) (v)
48) (i)
49) (v)
50) (ii)
