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 156.00°, the length of the arc of the sector is
(i)
24.96 cm
(ii)
32.96 cm
(iii)
26.96 cm
(iv)
29.96 cm
(v)
34.96 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 169.00°, the area of the sector is
(i)
240.46 sq.cm
(ii)
209.46 sq.cm
(iii)
224.46 sq.cm
(iv)
212.46 sq.cm
(v)
197.46 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 61.00°, the perimeter of the sector is
(i)
40.98 cm
(ii)
45.98 cm
(iii)
42.98 cm
(iv)
48.98 cm
(v)
50.98 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 34.00°, the area of the circle is
(i)
395.29 sq.cm
(ii)
396.29 sq.cm
(iii)
364.29 sq.cm
(iv)
380.29 sq.cm
(v)
368.29 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 167.00°, the perimeter of the circle is
(i)
72.43 cm
(ii)
80.43 cm
(iii)
75.43 cm
(iv)
78.43 cm
(v)
70.43 cm
Question
6
6.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 16.24 cm, the angle subtended at the center by the arc of the sector is
(i)
98.00°
(ii)
93.00°
(iii)
96.00°
(iv)
88.00°
(v)
90.00°
Question
7
7.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 25.35 cm, the area of the sector is
(i)
146.11 sq.cm
(ii)
167.11 sq.cm
(iii)
152.11 sq.cm
(iv)
138.11 sq.cm
(v)
169.11 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 13.44 cm, the perimeter of the sector is
(i)
44.44 cm
(ii)
41.44 cm
(iii)
36.44 cm
(iv)
46.44 cm
(v)
38.44 cm
Question
9
9.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 24.27 cm, the area of the circle is
(i)
308.29 sq.cm
(ii)
314.29 sq.cm
(iii)
296.29 sq.cm
(iv)
331.29 sq.cm
(v)
339.29 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 21.48 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 107.80 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
66.00°
(ii)
58.00°
(iii)
68.00°
(iv)
63.00°
(v)
60.00°
Question
12
12.
If the radius of a circle is 11.00 cm and the area of a sector is 160.57 sq.cm, the length of the arc of the sector is
(i)
29.19 cm
(ii)
24.19 cm
(iii)
34.19 cm
(iv)
26.19 cm
(v)
32.19 cm
Question
13
13.
If the radius of a circle is 12.00 cm and the area of a sector is 201.14 sq.cm, the perimeter of the sector is
(i)
54.52 cm
(ii)
57.52 cm
(iii)
60.52 cm
(iv)
52.52 cm
(v)
62.52 cm
Question
14
14.
If the radius of a circle is 12.00 cm and the area of a sector is 163.43 sq.cm, the area of the circle is
(i)
425.57 sq.cm
(ii)
439.57 sq.cm
(iii)
470.57 sq.cm
(iv)
452.57 sq.cm
(v)
476.57 sq.cm
Question
15
15.
If the radius of a circle is 11.00 cm and the area of a sector is 60.21 sq.cm, the perimeter of the circle is
(i)
72.14 cm
(ii)
66.14 cm
(iii)
64.14 cm
(iv)
69.14 cm
(v)
74.14 cm
Question
16
16.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 43.89 cm, the angle subtended at the center by the arc of the sector is
(i)
68.00°
(ii)
60.00°
(iii)
62.00°
(iv)
65.00°
(v)
70.00°
Question
17
17.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 39.29 cm, the length of the arc of the sector is
(i)
22.29 cm
(ii)
20.29 cm
(iii)
14.29 cm
(iv)
17.29 cm
(v)
12.29 cm
Question
18
18.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 45.45 cm, the area of the sector is
(i)
115.89 sq.cm
(ii)
109.89 sq.cm
(iii)
128.89 sq.cm
(iv)
92.89 sq.cm
(v)
117.89 sq.cm
Question
19
19.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 45.11 cm, the area of the circle is
(i)
629.00 sq.cm
(ii)
632.00 sq.cm
(iii)
616.00 sq.cm
(iv)
614.00 sq.cm
(v)
601.00 sq.cm
Question
20
20.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 31.60 cm, the perimeter of the circle is
(i)
64.14 cm
(ii)
69.14 cm
(iii)
74.14 cm
(iv)
72.14 cm
(v)
66.14 cm
Question
21
21.
If the area of a sector of a circle is 67.22 sq.cm and the angle subtended at the center by the arc of the sector is 77.00°, the radius of the circle is
(i)
5.00 cm
(ii)
15.00 cm
(iii)
10.00 cm
(iv)
7.00 cm
(v)
13.00 cm
Question
22
22.
If the area of a sector of a circle is 159.66 sq.cm and the angle subtended at the center by the arc of the sector is 127.00°, the length of the arc of the sector is
(i)
21.61 cm
(ii)
29.61 cm
(iii)
26.61 cm
(iv)
23.61 cm
(v)
31.61 cm
Question
23
23.
If the area of a sector of a circle is 162.68 sq.cm and the angle subtended at the center by the arc of the sector is 154.00°, the perimeter of the sector is
(i)
46.58 cm
(ii)
56.58 cm
(iii)
51.58 cm
(iv)
54.58 cm
(v)
48.58 cm
Question
24
24.
If the area of a sector of a circle is 87.30 sq.cm and the angle subtended at the center by the arc of the sector is 100.00°, the area of the circle is
(i)
314.29 sq.cm
(ii)
291.29 sq.cm
(iii)
319.29 sq.cm
(iv)
342.29 sq.cm
(v)
300.29 sq.cm
Question
25
25.
If the area of a sector of a circle is 119.78 sq.cm and the angle subtended at the center by the arc of the sector is 70.00°, the perimeter of the circle is
(i)
88.00 cm
(ii)
83.00 cm
(iii)
91.00 cm
(iv)
85.00 cm
(v)
93.00 cm
Question
26
26.
If the area of a sector of a circle is 322.14 sq.cm and the length of the arc of the sector is 42.95 cm, the radius of the circle is
(i)
15.00 cm
(ii)
20.00 cm
(iii)
18.00 cm
(iv)
10.00 cm
(v)
12.00 cm
Question
27
27.
If the area of a sector of a circle is 93.03 sq.cm and the length of the arc of the sector is 15.51 cm, the angle subtended at the center by the arc of the sector is
(i)
71.00°
(ii)
79.00°
(iii)
77.00°
(iv)
69.00°
(v)
74.00°
Question
28
28.
If the area of a sector of a circle is 59.02 sq.cm and the length of the arc of the sector is 9.08 cm, the perimeter of the sector is
(i)
32.08 cm
(ii)
40.08 cm
(iii)
38.08 cm
(iv)
30.08 cm
(v)
35.08 cm
Question
29
29.
If the area of a sector of a circle is 257.32 sq.cm and the length of the arc of the sector is 34.31 cm, the area of the circle is
(i)
707.14 sq.cm
(ii)
694.14 sq.cm
(iii)
722.14 sq.cm
(iv)
719.14 sq.cm
Question
30
30.
If the area of a sector of a circle is 69.72 sq.cm and the length of the arc of the sector is 12.68 cm, the perimeter of the circle is
(i)
72.14 cm
(ii)
64.14 cm
(iii)
69.14 cm
(iv)
66.14 cm
(v)
74.14 cm
Question
31
31.
If the area of a sector of a circle is 131.83 sq.cm and the area of the circle is 314.29 sq.cm, the radius of the circle is
(i)
5.00 cm
(ii)
7.00 cm
(iii)
10.00 cm
(iv)
13.00 cm
(v)
15.00 cm
Question
32
32.
If the area of a sector of a circle is 156.34 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)
143.00°
(ii)
121.00°
(iii)
148.00°
(iv)
160.00°
(v)
171.00°
Question
33
33.
If the area of a sector of a circle is 244.91 sq.cm and the area of the circle is 531.14 sq.cm, the length of the arc of the sector is
(i)
34.68 cm
(ii)
42.68 cm
(iii)
37.68 cm
(iv)
32.68 cm
(v)
40.68 cm
Question
34
34.
If the area of a sector of a circle is 83.84 sq.cm and the area of the circle is 616.00 sq.cm, the perimeter of the sector is
(i)
39.98 cm
(ii)
36.98 cm
(iii)
34.98 cm
(iv)
44.98 cm
(v)
42.98 cm
Question
35
35.
If the area of a sector of a circle is 101.41 sq.cm and the area of the circle is 380.29 sq.cm, the perimeter of the circle is
(i)
69.14 cm
(ii)
74.14 cm
(iii)
64.14 cm
(iv)
72.14 cm
(v)
66.14 cm
Question
36
36.
If the length of the arc of a sector is 29.54 cm and the angle subtended at the center by the arc of the sector is 141.00°, the radius of the circle is
(i)
17.00 cm
(ii)
12.00 cm
(iii)
9.00 cm
(iv)
7.00 cm
(v)
15.00 cm
Question
37
37.
If the length of the arc of a sector is 25.42 cm and the angle subtended at the center by the arc of the sector is 112.00°, the area of the sector is
(i)
168.24 sq.cm
(ii)
190.24 sq.cm
(iii)
149.24 sq.cm
(iv)
153.24 sq.cm
(v)
165.24 sq.cm
Question
38
38.
If the length of the arc of a sector is 11.26 cm and the angle subtended at the center by the arc of the sector is 43.00°, the perimeter of the sector is
(i)
41.26 cm
(ii)
44.26 cm
(iii)
38.26 cm
(iv)
36.26 cm
(v)
46.26 cm
Question
39
39.
If the length of the arc of a sector is 30.12 cm and the angle subtended at the center by the arc of the sector is 115.00°, the area of the circle is
(i)
689.14 sq.cm
(ii)
707.14 sq.cm
(iii)
723.14 sq.cm
(iv)
694.14 sq.cm
(v)
711.14 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)
78.43 cm
(ii)
72.43 cm
(iii)
70.43 cm
(iv)
80.43 cm
(v)
75.43 cm
Question
41
41.
If the length of the arc of a sector is 12.92 cm and the area of the circle is 314.29 sq.cm, the radius of the circle is
(i)
15.00 cm
(ii)
7.00 cm
(iii)
13.00 cm
(iv)
5.00 cm
(v)
10.00 cm
Question
42
42.
If the length of the arc of a sector is 32.27 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)
120.00°
(ii)
148.00°
(iii)
105.00°
(iv)
132.00°
(v)
147.00°
Question
43
43.
If the length of the arc of a sector is 33.14 cm and the area of the circle is 531.14 sq.cm, the area of the sector is
(i)
207.41 sq.cm
(ii)
241.41 sq.cm
(iii)
215.41 sq.cm
(iv)
217.41 sq.cm
(v)
190.41 sq.cm
Question
44
44.
If the length of the arc of a sector is 5.76 cm and the area of the circle is 380.29 sq.cm, the perimeter of the sector is
(i)
32.76 cm
(ii)
22.76 cm
(iii)
30.76 cm
(iv)
27.76 cm
(v)
24.76 cm
Question
45
45.
If the length of the arc of a sector is 21.16 cm and the area of the circle is 452.57 sq.cm, the perimeter of the circle is
(i)
72.43 cm
(ii)
80.43 cm
(iii)
75.43 cm
(iv)
78.43 cm
(v)
70.43 cm
Question
46
46.
If the length of the arc of a sector is 11.58 cm and the perimeter of the circle is 81.71 cm, the radius of the circle is
(i)
10.00 cm
(ii)
13.00 cm
(iii)
18.00 cm
(iv)
8.00 cm
(v)
16.00 cm
Question
47
47.
If the length of the arc of a sector is 31.88 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)
154.00°
(ii)
193.00°
(iii)
180.00°
(iv)
143.00°
(v)
166.00°
Question
48
48.
If the length of the arc of a sector is 31.78 cm and the perimeter of the circle is 88.00 cm, the area of the sector is
(i)
222.44 sq.cm
(ii)
195.44 sq.cm
(iii)
220.44 sq.cm
(iv)
237.44 sq.cm
(v)
238.44 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)
47.81 cm
(ii)
50.81 cm
(iii)
55.81 cm
(iv)
53.81 cm
(v)
45.81 cm
Question
50
50.
If the length of the arc of a sector is 28.60 cm and the perimeter of the circle is 88.00 cm, the area of the circle is
(i)
644.00 sq.cm
(ii)
608.00 sq.cm
(iii)
623.00 sq.cm
(iv)
616.00 sq.cm
(v)
592.00 sq.cm
Assignment Key
1) (iv)
2) (iv)
3) (ii)
4) (iv)
5) (iii)
6) (ii)
7) (iii)
8) (ii)
9) (ii)
10) (ii)
11) (iv)
12) (i)
13) (ii)
14) (iv)
15) (iv)
16) (iv)
17) (iv)
18) (i)
19) (iii)
20) (ii)
21) (iii)
22) (iii)
23) (iii)
24) (i)
25) (i)
26) (i)
27) (v)
28) (v)
29) (i)
30) (iii)
31) (iii)
32) (iii)
33) (iii)
34) (i)
35) (i)
36) (ii)
37) (v)
38) (i)
39) (ii)
40) (v)
41) (v)
42) (iv)
43) (iii)
44) (iv)
45) (iii)
46) (ii)
47) (v)
48) (i)
49) (ii)
50) (iv)
