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 12.00 cm and the angle subtended at the center by the arc of a sector is 152.00°, the length of the arc of the sector is
(i)
36.85 cm
(ii)
31.85 cm
(iii)
28.85 cm
(iv)
34.85 cm
(v)
26.85 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 35.00°, the area of the sector is
(i)
48.64 sq.cm
(ii)
56.64 sq.cm
(iii)
51.64 sq.cm
(iv)
46.64 sq.cm
(v)
54.64 sq.cm
Question
3
3.
If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 109.00°, the perimeter of the sector is
(i)
46.84 cm
(ii)
51.84 cm
(iii)
41.84 cm
(iv)
49.84 cm
(v)
43.84 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 89.00°, the area of the circle is
(i)
707.14 sq.cm
(ii)
724.14 sq.cm
(iii)
705.14 sq.cm
(iv)
723.14 sq.cm
(v)
689.14 sq.cm
Question
5
5.
If the radius of a circle is 13.00 cm and the angle subtended at the center by the arc of a sector is 152.00°, the perimeter of the circle is
(i)
81.71 cm
(ii)
76.71 cm
(iii)
78.71 cm
(iv)
86.71 cm
(v)
84.71 cm
Question
6
6.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 20.17 cm, the angle subtended at the center by the arc of the sector is
(i)
105.00°
(ii)
91.00°
(iii)
90.00°
(iv)
122.00°
(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 11.80 cm, the area of the sector is
(i)
76.72 sq.cm
(ii)
73.72 sq.cm
(iii)
71.72 sq.cm
(iv)
79.72 sq.cm
(v)
81.72 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 26.72 cm, the perimeter of the sector is
(i)
43.72 cm
(ii)
41.72 cm
(iii)
49.72 cm
(iv)
46.72 cm
(v)
51.72 cm
Question
9
9.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 25.84 cm, the area of the circle is
(i)
332.29 sq.cm
(ii)
297.29 sq.cm
(iii)
314.29 sq.cm
(iv)
302.29 sq.cm
(v)
320.29 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 27.76 cm, the perimeter of the circle is
(i)
91.29 cm
(ii)
94.29 cm
(iii)
89.29 cm
(iv)
97.29 cm
(v)
99.29 cm
Question
11
11.
If the radius of a circle is 10.00 cm and the area of a sector is 48.02 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
55.00°
(ii)
50.00°
(iii)
52.00°
(iv)
60.00°
(v)
58.00°
Question
12
12.
If the radius of a circle is 15.00 cm and the area of a sector is 216.07 sq.cm, the length of the arc of the sector is
(i)
31.81 cm
(ii)
25.81 cm
(iii)
28.81 cm
(iv)
23.81 cm
(v)
33.81 cm
Question
13
13.
If the radius of a circle is 15.00 cm and the area of a sector is 212.14 sq.cm, the perimeter of the sector is
(i)
61.29 cm
(ii)
58.29 cm
(iii)
63.29 cm
(iv)
53.29 cm
(v)
55.29 cm
Question
14
14.
If the radius of a circle is 15.00 cm and the area of a sector is 127.68 sq.cm, the area of the circle is
(i)
695.14 sq.cm
(ii)
701.14 sq.cm
(iii)
734.14 sq.cm
(iv)
707.14 sq.cm
(v)
720.14 sq.cm
Question
15
15.
If the radius of a circle is 10.00 cm and the area of a sector is 105.64 sq.cm, the perimeter of the circle is
(i)
57.86 cm
(ii)
65.86 cm
(iii)
67.86 cm
(iv)
62.86 cm
(v)
59.86 cm
Question
16
16.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 46.43 cm, the angle subtended at the center by the arc of the sector is
(i)
90.00°
(ii)
87.00°
(iii)
93.00°
(iv)
95.00°
(v)
85.00°
Question
17
17.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 44.67 cm, the length of the arc of the sector is
(i)
19.67 cm
(ii)
9.67 cm
(iii)
11.67 cm
(iv)
17.67 cm
(v)
14.67 cm
Question
18
18.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 29.43 cm, the area of the sector is
(i)
50.14 sq.cm
(ii)
52.14 sq.cm
(iii)
44.14 sq.cm
(iv)
47.14 sq.cm
(v)
42.14 sq.cm
Question
19
19.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 60.27 cm, the area of the circle is
(i)
616.00 sq.cm
(ii)
600.00 sq.cm
(iii)
638.00 sq.cm
(iv)
601.00 sq.cm
(v)
634.00 sq.cm
Question
20
20.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 41.65 cm, the perimeter of the circle is
(i)
57.86 cm
(ii)
67.86 cm
(iii)
59.86 cm
(iv)
62.86 cm
(v)
65.86 cm
Question
21
21.
If the area of a sector of a circle is 168.19 sq.cm and the angle subtended at the center by the arc of the sector is 114.00°, the radius of the circle is
(i)
16.00 cm
(ii)
18.00 cm
(iii)
13.00 cm
(iv)
8.00 cm
(v)
10.00 cm
Question
22
22.
If the area of a sector of a circle is 265.18 sq.cm and the angle subtended at the center by the arc of the sector is 135.00°, the length of the arc of the sector is
(i)
32.36 cm
(ii)
35.36 cm
(iii)
38.36 cm
(iv)
40.36 cm
(v)
30.36 cm
Question
23
23.
If the area of a sector of a circle is 102.47 sq.cm and the angle subtended at the center by the arc of the sector is 97.00°, the perimeter of the sector is
(i)
35.63 cm
(ii)
43.63 cm
(iii)
45.63 cm
(iv)
40.63 cm
(v)
37.63 cm
Question
24
24.
If the area of a sector of a circle is 255.36 sq.cm and the angle subtended at the center by the arc of the sector is 130.00°, the area of the circle is
(i)
733.14 sq.cm
(ii)
721.14 sq.cm
(iii)
699.14 sq.cm
(iv)
707.14 sq.cm
(v)
694.14 sq.cm
Question
25
25.
If the area of a sector of a circle is 294.64 sq.cm and the angle subtended at the center by the arc of the sector is 150.00°, the perimeter of the circle is
(i)
97.29 cm
(ii)
91.29 cm
(iii)
94.29 cm
(iv)
99.29 cm
(v)
89.29 cm
Question
26
26.
If the area of a sector of a circle is 203.66 sq.cm and the length of the arc of the sector is 33.94 cm, the radius of the circle is
(i)
17.00 cm
(ii)
9.00 cm
(iii)
15.00 cm
(iv)
12.00 cm
(v)
7.00 cm
Question
27
27.
If the area of a sector of a circle is 118.31 sq.cm and the length of the arc of the sector is 21.51 cm, the angle subtended at the center by the arc of the sector is
(i)
94.00°
(ii)
115.00°
(iii)
112.00°
(iv)
130.00°
(v)
88.00°
Question
28
28.
If the area of a sector of a circle is 61.27 sq.cm and the length of the arc of the sector is 11.14 cm, the perimeter of the sector is
(i)
36.14 cm
(ii)
38.14 cm
(iii)
33.14 cm
(iv)
30.14 cm
(v)
28.14 cm
Question
29
29.
If the area of a sector of a circle is 44.26 sq.cm and the length of the arc of the sector is 6.81 cm, the area of the circle is
(i)
544.14 sq.cm
(ii)
531.14 sq.cm
(iii)
524.14 sq.cm
(iv)
519.14 sq.cm
(v)
535.14 sq.cm
Question
30
30.
If the area of a sector of a circle is 308.39 sq.cm and the length of the arc of the sector is 41.12 cm, the perimeter of the circle is
(i)
91.29 cm
(ii)
94.29 cm
(iii)
97.29 cm
(iv)
99.29 cm
(v)
89.29 cm
Question
31
31.
If the area of a sector of a circle is 95.16 sq.cm and the area of the circle is 314.29 sq.cm, the radius of the circle is
(i)
13.00 cm
(ii)
10.00 cm
(iii)
7.00 cm
(iv)
5.00 cm
(v)
15.00 cm
Question
32
32.
If the area of a sector of a circle is 189.93 sq.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)
125.00°
(ii)
93.00°
(iii)
111.00°
(iv)
96.00°
(v)
124.00°
Question
33
33.
If the area of a sector of a circle is 320.18 sq.cm and the area of the circle is 707.14 sq.cm, the length of the arc of the sector is
(i)
39.69 cm
(ii)
42.69 cm
(iii)
47.69 cm
(iv)
45.69 cm
(v)
37.69 cm
Question
34
34.
If the area of a sector of a circle is 71.66 sq.cm and the area of the circle is 452.57 sq.cm, the perimeter of the sector is
(i)
35.94 cm
(ii)
30.94 cm
(iii)
40.94 cm
(iv)
38.94 cm
(v)
32.94 cm
Question
35
35.
If the area of a sector of a circle is 56.47 sq.cm and the area of the circle is 616.00 sq.cm, the perimeter of the circle is
(i)
85.00 cm
(ii)
91.00 cm
(iii)
88.00 cm
(iv)
83.00 cm
(v)
93.00 cm
Question
36
36.
If the length of the arc of a sector is 37.89 cm and the angle subtended at the center by the arc of the sector is 155.00°, the radius of the circle is
(i)
11.00 cm
(ii)
17.00 cm
(iii)
19.00 cm
(iv)
9.00 cm
(v)
14.00 cm
Question
37
37.
If the length of the arc of a sector is 15.64 cm and the angle subtended at the center by the arc of the sector is 64.00°, the area of the sector is
(i)
102.51 sq.cm
(ii)
114.51 sq.cm
(iii)
137.51 sq.cm
(iv)
87.51 sq.cm
(v)
109.51 sq.cm
Question
38
38.
If the length of the arc of a sector is 35.63 cm and the angle subtended at the center by the arc of the sector is 157.00°, the perimeter of the sector is
(i)
61.63 cm
(ii)
64.63 cm
(iii)
56.63 cm
(iv)
66.63 cm
(v)
58.63 cm
Question
39
39.
If the length of the arc of a sector is 9.43 cm and the angle subtended at the center by the arc of the sector is 36.00°, the area of the circle is
(i)
701.14 sq.cm
(ii)
707.14 sq.cm
(iii)
719.14 sq.cm
(iv)
714.14 sq.cm
(v)
693.14 sq.cm
Question
40
40.
If the length of the arc of a sector is 13.41 cm and the angle subtended at the center by the arc of the sector is 64.00°, the perimeter of the circle is
(i)
78.43 cm
(ii)
80.43 cm
(iii)
70.43 cm
(iv)
75.43 cm
(v)
72.43 cm
Question
41
41.
If the length of the arc of a sector is 21.74 cm and the area of the circle is 707.14 sq.cm, the radius of the circle is
(i)
20.00 cm
(ii)
15.00 cm
(iii)
18.00 cm
(iv)
10.00 cm
(v)
12.00 cm
Question
42
42.
If the length of the arc of a sector is 15.94 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)
80.00°
(ii)
83.00°
(iii)
86.00°
(iv)
88.00°
(v)
78.00°
Question
43
43.
If the length of the arc of a sector is 20.43 cm and the area of the circle is 531.14 sq.cm, the area of the sector is
(i)
135.78 sq.cm
(ii)
155.78 sq.cm
(iii)
118.78 sq.cm
(iv)
132.78 sq.cm
Question
44
44.
If the length of the arc of a sector is 38.36 cm and the area of the circle is 531.14 sq.cm, the perimeter of the sector is
(i)
59.36 cm
(ii)
67.36 cm
(iii)
69.36 cm
(iv)
64.36 cm
(v)
61.36 cm
Question
45
45.
If the length of the arc of a sector is 24.36 cm and the area of the circle is 707.14 sq.cm, the perimeter of the circle is
(i)
91.29 cm
(ii)
89.29 cm
(iii)
94.29 cm
(iv)
97.29 cm
(v)
99.29 cm
Question
46
46.
If the length of the arc of a sector is 21.16 cm and the perimeter of the circle is 75.43 cm, the radius of the circle is
(i)
15.00 cm
(ii)
7.00 cm
(iii)
12.00 cm
(iv)
9.00 cm
(v)
17.00 cm
Question
47
47.
If the length of the arc of a sector is 12.40 cm and the perimeter of the circle is 62.86 cm, the angle subtended at the center by the arc of the sector is
(i)
71.00°
(ii)
76.00°
(iii)
68.00°
(iv)
74.00°
(v)
66.00°
Question
48
48.
If the length of the arc of a sector is 12.57 cm and the perimeter of the circle is 75.43 cm, the area of the sector is
(i)
80.43 sq.cm
(ii)
72.43 sq.cm
(iii)
78.43 sq.cm
(iv)
70.43 sq.cm
(v)
75.43 sq.cm
Question
49
49.
If the length of the arc of a sector is 35.44 cm and the perimeter of the circle is 88.00 cm, the perimeter of the sector is
(i)
68.44 cm
(ii)
60.44 cm
(iii)
58.44 cm
(iv)
66.44 cm
(v)
63.44 cm
Question
50
50.
If the length of the arc of a sector is 25.56 cm and the perimeter of the circle is 75.43 cm, the area of the circle is
(i)
425.57 sq.cm
(ii)
469.57 sq.cm
(iii)
468.57 sq.cm
(iv)
452.57 sq.cm
(v)
444.57 sq.cm
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (i)
5) (i)
6) (i)
7) (i)
8) (iv)
9) (iii)
10) (ii)
11) (i)
12) (iii)
13) (ii)
14) (iv)
15) (iv)
16) (i)
17) (v)
18) (iv)
19) (i)
20) (iv)
21) (iii)
22) (ii)
23) (iv)
24) (iv)
25) (iii)
26) (iv)
27) (iii)
28) (iii)
29) (ii)
30) (ii)
31) (ii)
32) (iii)
33) (ii)
34) (i)
35) (iii)
36) (v)
37) (v)
38) (i)
39) (ii)
40) (iv)
41) (ii)
42) (ii)
43) (iv)
44) (iv)
45) (iii)
46) (iii)
47) (i)
48) (v)
49) (v)
50) (iv)
