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 45.00°, the length of the arc of the sector is
(i)
14.00 cm
(ii)
16.00 cm
(iii)
11.00 cm
(iv)
6.00 cm
(v)
8.00 cm
Question
2
2.
If the radius of a circle is 14.00 cm and the angle subtended at the center by the arc of a sector is 127.00°, the area of the sector is
(i)
224.31 sq.cm
(ii)
209.31 sq.cm
(iii)
233.31 sq.cm
(iv)
205.31 sq.cm
(v)
217.31 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 32.00°, the perimeter of the sector is
(i)
38.38 cm
(ii)
41.38 cm
(iii)
33.38 cm
(iv)
35.38 cm
(v)
43.38 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 145.00°, the area of the circle is
(i)
644.00 sq.cm
(ii)
589.00 sq.cm
(iii)
616.00 sq.cm
(iv)
631.00 sq.cm
(v)
600.00 sq.cm
Question
5
5.
If the radius of a circle is 15.00 cm and the angle subtended at the center by the arc of a sector is 133.00°, the perimeter of the circle is
(i)
99.29 cm
(ii)
91.29 cm
(iii)
89.29 cm
(iv)
97.29 cm
(v)
94.29 cm
Question
6
6.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 34.73 cm, the angle subtended at the center by the arc of the sector is
(i)
138.00°
(ii)
153.00°
(iii)
177.00°
(iv)
135.00°
(v)
170.00°
Question
7
7.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 7.04 cm, the area of the sector is
(i)
40.74 sq.cm
(ii)
50.74 sq.cm
(iii)
48.74 sq.cm
(iv)
45.74 sq.cm
(v)
42.74 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 21.58 cm, the perimeter of the sector is
(i)
45.58 cm
(ii)
48.58 cm
(iii)
40.58 cm
(iv)
42.58 cm
(v)
50.58 cm
Question
9
9.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 29.00 cm, the area of the circle is
(i)
380.29 sq.cm
(ii)
367.29 sq.cm
(iii)
404.29 sq.cm
(iv)
398.29 sq.cm
(v)
366.29 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 22.52 cm, the perimeter of the circle is
(i)
97.29 cm
(ii)
99.29 cm
(iii)
91.29 cm
(iv)
94.29 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 242.98 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
145.00°
(ii)
129.00°
(iii)
118.00°
(iv)
142.00°
(v)
170.00°
Question
12
12.
If the radius of a circle is 10.00 cm and the area of a sector is 123.97 sq.cm, the length of the arc of the sector is
(i)
19.79 cm
(ii)
27.79 cm
(iii)
24.79 cm
(iv)
21.79 cm
(v)
29.79 cm
Question
13
13.
If the radius of a circle is 13.00 cm and the area of a sector is 132.78 sq.cm, the perimeter of the sector is
(i)
49.43 cm
(ii)
43.43 cm
(iii)
46.43 cm
(iv)
41.43 cm
(v)
51.43 cm
Question
14
14.
If the radius of a circle is 10.00 cm and the area of a sector is 129.21 sq.cm, the area of the circle is
(i)
328.29 sq.cm
(ii)
292.29 sq.cm
(iii)
314.29 sq.cm
(iv)
327.29 sq.cm
(v)
299.29 sq.cm
Question
15
15.
If the radius of a circle is 13.00 cm and the area of a sector is 160.82 sq.cm, the perimeter of the circle is
(i)
81.71 cm
(ii)
78.71 cm
(iii)
76.71 cm
(iv)
84.71 cm
(v)
86.71 cm
Question
16
16.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 63.53 cm, the angle subtended at the center by the arc of the sector is
(i)
128.00°
(ii)
146.00°
(iii)
105.00°
(iv)
124.00°
(v)
153.00°
Question
17
17.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 43.70 cm, the length of the arc of the sector is
(i)
17.70 cm
(ii)
12.70 cm
(iii)
20.70 cm
(iv)
14.70 cm
(v)
22.70 cm
Question
18
18.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 66.62 cm, the area of the sector is
(i)
270.36 sq.cm
(ii)
255.36 sq.cm
(iii)
262.36 sq.cm
(iv)
273.36 sq.cm
(v)
287.36 sq.cm
Question
19
19.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 29.25 cm, the area of the circle is
(i)
314.29 sq.cm
(ii)
297.29 sq.cm
(iii)
341.29 sq.cm
(iv)
296.29 sq.cm
(v)
326.29 sq.cm
Question
20
20.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 48.12 cm, the perimeter of the circle is
(i)
69.14 cm
(ii)
66.14 cm
(iii)
74.14 cm
(iv)
72.14 cm
(v)
64.14 cm
Question
21
21.
If the area of a sector of a circle is 44.26 sq.cm and the angle subtended at the center by the arc of the sector is 30.00°, the radius of the circle is
(i)
18.00 cm
(ii)
10.00 cm
(iii)
8.00 cm
(iv)
13.00 cm
(v)
16.00 cm
Question
22
22.
If the area of a sector of a circle is 113.03 sq.cm and the angle subtended at the center by the arc of the sector is 107.00°, the length of the arc of the sector is
(i)
25.55 cm
(ii)
17.55 cm
(iii)
15.55 cm
(iv)
20.55 cm
(v)
23.55 cm
Question
23
23.
If the area of a sector of a circle is 253.39 sq.cm and the angle subtended at the center by the arc of the sector is 129.00°, the perimeter of the sector is
(i)
66.79 cm
(ii)
63.79 cm
(iii)
58.79 cm
(iv)
60.79 cm
(v)
68.79 cm
Question
24
24.
If the area of a sector of a circle is 99.24 sq.cm and the angle subtended at the center by the arc of the sector is 58.00°, the area of the circle is
(i)
600.00 sq.cm
(ii)
612.00 sq.cm
(iii)
634.00 sq.cm
(iv)
616.00 sq.cm
(v)
629.00 sq.cm
Question
25
25.
If the area of a sector of a circle is 196.23 sq.cm and the angle subtended at the center by the arc of the sector is 133.00°, the perimeter of the circle is
(i)
86.71 cm
(ii)
81.71 cm
(iii)
76.71 cm
(iv)
84.71 cm
(v)
78.71 cm
Question
26
26.
If the area of a sector of a circle is 103.89 sq.cm and the length of the arc of the sector is 20.78 cm, the radius of the circle is
(i)
10.00 cm
(ii)
7.00 cm
(iii)
15.00 cm
(iv)
13.00 cm
(v)
5.00 cm
Question
27
27.
If the area of a sector of a circle is 80.54 sq.cm and the length of the arc of the sector is 10.74 cm, the angle subtended at the center by the arc of the sector is
(i)
36.00°
(ii)
46.00°
(iii)
38.00°
(iv)
44.00°
(v)
41.00°
Question
28
28.
If the area of a sector of a circle is 77.70 sq.cm and the length of the arc of the sector is 15.54 cm, the perimeter of the sector is
(i)
40.54 cm
(ii)
35.54 cm
(iii)
32.54 cm
(iv)
38.54 cm
(v)
30.54 cm
Question
29
29.
If the area of a sector of a circle is 150.00 sq.cm and the length of the arc of the sector is 27.27 cm, the area of the circle is
(i)
396.29 sq.cm
(ii)
377.29 sq.cm
(iii)
364.29 sq.cm
(iv)
395.29 sq.cm
(v)
380.29 sq.cm
Question
30
30.
If the area of a sector of a circle is 193.28 sq.cm and the length of the arc of the sector is 29.73 cm, the perimeter of the circle is
(i)
78.71 cm
(ii)
81.71 cm
(iii)
76.71 cm
(iv)
86.71 cm
(v)
84.71 cm
Question
31
31.
If the area of a sector of a circle is 46.27 sq.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
32
32.
If the area of a sector of a circle is 180.71 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)
92.00°
(ii)
95.00°
(iii)
89.00°
(iv)
97.00°
(v)
87.00°
Question
33
33.
If the area of a sector of a circle is 39.29 sq.cm and the area of the circle is 314.29 sq.cm, the length of the arc of the sector is
(i)
5.86 cm
(ii)
6.86 cm
(iii)
7.86 cm
(iv)
9.86 cm
(v)
8.86 cm
Question
34
34.
If the area of a sector of a circle is 95.07 sq.cm and the area of the circle is 380.29 sq.cm, the perimeter of the sector is
(i)
42.29 cm
(ii)
34.29 cm
(iii)
36.29 cm
(iv)
39.29 cm
(v)
44.29 cm
Question
35
35.
If the area of a sector of a circle is 231.64 sq.cm and the area of the circle is 531.14 sq.cm, the perimeter of the circle is
(i)
84.71 cm
(ii)
86.71 cm
(iii)
78.71 cm
(iv)
76.71 cm
(v)
81.71 cm
Question
36
36.
If the length of the arc of a sector is 21.83 cm and the angle subtended at the center by the arc of the sector is 125.00°, the radius of the circle is
(i)
7.00 cm
(ii)
15.00 cm
(iii)
13.00 cm
(iv)
10.00 cm
(v)
5.00 cm
Question
37
37.
If the length of the arc of a sector is 24.01 cm and the angle subtended at the center by the arc of the sector is 125.00°, the area of the sector is
(i)
129.05 sq.cm
(ii)
132.05 sq.cm
(iii)
146.05 sq.cm
(iv)
110.05 sq.cm
(v)
149.05 sq.cm
Question
38
38.
If the length of the arc of a sector is 23.71 cm and the angle subtended at the center by the arc of the sector is 97.00°, the perimeter of the sector is
(i)
56.71 cm
(ii)
54.71 cm
(iii)
46.71 cm
(iv)
48.71 cm
(v)
51.71 cm
Question
39
39.
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 area of the circle is
(i)
707.14 sq.cm
(ii)
699.14 sq.cm
(iii)
722.14 sq.cm
(iv)
683.14 sq.cm
(v)
720.14 sq.cm
Question
40
40.
If the length of the arc of a sector is 12.75 cm and the angle subtended at the center by the arc of the sector is 73.00°, the perimeter of the circle is
(i)
65.86 cm
(ii)
57.86 cm
(iii)
67.86 cm
(iv)
62.86 cm
(v)
59.86 cm
Question
41
41.
If the length of the arc of a sector is 25.14 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)
13.00 cm
(iv)
7.00 cm
(v)
15.00 cm
Question
42
42.
If the length of the arc of a sector is 8.07 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)
28.00°
(ii)
33.00°
(iii)
38.00°
(iv)
30.00°
(v)
36.00°
Question
43
43.
If the length of the arc of a sector is 33.82 cm and the area of the circle is 531.14 sq.cm, the area of the sector is
(i)
232.83 sq.cm
(ii)
223.83 sq.cm
(iii)
219.83 sq.cm
(iv)
214.83 sq.cm
(v)
196.83 sq.cm
Question
44
44.
If the length of the arc of a sector is 19.21 cm and the area of the circle is 380.29 sq.cm, the perimeter of the sector is
(i)
38.21 cm
(ii)
41.21 cm
(iii)
46.21 cm
(iv)
36.21 cm
(v)
44.21 cm
Question
45
45.
If the length of the arc of a sector is 23.22 cm and the area of the circle is 314.29 sq.cm, the perimeter of the circle is
(i)
62.86 cm
(ii)
59.86 cm
(iii)
57.86 cm
(iv)
65.86 cm
(v)
67.86 cm
Question
46
46.
If the length of the arc of a sector is 33.53 cm and the perimeter of the circle is 94.29 cm, the radius of the circle is
(i)
10.00 cm
(ii)
18.00 cm
(iii)
20.00 cm
(iv)
12.00 cm
(v)
15.00 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)
149.00°
(ii)
192.00°
(iii)
163.00°
(iv)
166.00°
(v)
174.00°
Question
48
48.
If the length of the arc of a sector is 31.85 cm and the perimeter of the circle is 75.43 cm, the area of the sector is
(i)
184.09 sq.cm
(ii)
164.09 sq.cm
(iii)
193.09 sq.cm
(iv)
191.09 sq.cm
(v)
206.09 sq.cm
Question
49
49.
If the length of the arc of a sector is 6.53 cm and the perimeter of the circle is 69.14 cm, the perimeter of the sector is
(i)
33.53 cm
(ii)
28.53 cm
(iii)
31.53 cm
(iv)
23.53 cm
(v)
25.53 cm
Question
50
50.
If the length of the arc of a sector is 22.00 cm and the perimeter of the circle is 94.29 cm, the area of the circle is
(i)
715.14 sq.cm
(ii)
721.14 sq.cm
(iii)
684.14 sq.cm
(iv)
707.14 sq.cm
(v)
705.14 sq.cm
Assignment Key
1) (iii)
2) (v)
3) (i)
4) (iii)
5) (v)
6) (ii)
7) (iv)
8) (i)
9) (i)
10) (iv)
11) (iv)
12) (iii)
13) (iii)
14) (iii)
15) (i)
16) (i)
17) (i)
18) (i)
19) (i)
20) (i)
21) (iv)
22) (iv)
23) (ii)
24) (iv)
25) (ii)
26) (i)
27) (v)
28) (ii)
29) (v)
30) (ii)
31) (iii)
32) (i)
33) (iii)
34) (iv)
35) (v)
36) (iv)
37) (ii)
38) (v)
39) (i)
40) (iv)
41) (ii)
42) (ii)
43) (iii)
44) (ii)
45) (i)
46) (v)
47) (iv)
48) (iv)
49) (ii)
50) (iv)
