EduSahara™ Assignment
Name : Areas of Sectors
Chapter : Area Related to Circles
Grade : CBSE Grade X
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 74.00°, the length of the arc of the sector is
(i)
12.51 cm
(ii)
18.51 cm
(iii)
20.51 cm
(iv)
15.51 cm
(v)
10.51 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 113.00°, the area of the sector is
(i)
193.36 sq.cm
(ii)
205.36 sq.cm
(iii)
187.36 sq.cm
(iv)
197.36 sq.cm
(v)
171.36 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 35.00°, the perimeter of the sector is
(i)
33.72 cm
(ii)
31.72 cm
(iii)
25.72 cm
(iv)
23.72 cm
(v)
28.72 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 70.00°, the area of the circle is
(i)
609.00 sq.cm
(ii)
634.00 sq.cm
(iii)
591.00 sq.cm
(iv)
616.00 sq.cm
(v)
629.00 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 99.00°, the perimeter of the circle is
(i)
99.29 cm
(ii)
91.29 cm
(iii)
97.29 cm
(iv)
89.29 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 33.14 cm, the angle subtended at the center by the arc of the sector is
(i)
146.00°
(ii)
138.00°
(iii)
129.00°
(iv)
172.00°
(v)
161.00°
Question
7
7.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 23.05 cm, the area of the sector is
(i)
125.29 sq.cm
(ii)
138.29 sq.cm
(iii)
156.29 sq.cm
(iv)
131.29 sq.cm
(v)
154.29 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 26.61 cm, the perimeter of the sector is
(i)
53.61 cm
(ii)
50.61 cm
(iii)
55.61 cm
(iv)
47.61 cm
(v)
45.61 cm
Question
9
9.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 13.83 cm, the area of the circle is
(i)
372.29 sq.cm
(ii)
407.29 sq.cm
(iii)
384.29 sq.cm
(iv)
355.29 sq.cm
(v)
380.29 sq.cm
Question
10
10.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 22.28 cm, the perimeter of the circle is
(i)
69.14 cm
(ii)
66.14 cm
(iii)
74.14 cm
(iv)
64.14 cm
(v)
72.14 cm
Question
11
11.
If the radius of a circle is 10.00 cm and the area of a sector is 115.24 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
146.00°
(ii)
132.00°
(iii)
116.00°
(iv)
144.00°
(v)
109.00°
Question
12
12.
If the radius of a circle is 15.00 cm and the area of a sector is 284.82 sq.cm, the length of the arc of the sector is
(i)
37.98 cm
(ii)
32.98 cm
(iii)
34.98 cm
(iv)
42.98 cm
(v)
40.98 cm
Question
13
13.
If the radius of a circle is 15.00 cm and the area of a sector is 243.57 sq.cm, the perimeter of the sector is
(i)
57.48 cm
(ii)
59.48 cm
(iii)
67.48 cm
(iv)
65.48 cm
(v)
62.48 cm
Question
14
14.
If the radius of a circle is 11.00 cm and the area of a sector is 68.66 sq.cm, the area of the circle is
(i)
396.29 sq.cm
(ii)
404.29 sq.cm
(iii)
380.29 sq.cm
(iv)
373.29 sq.cm
(v)
367.29 sq.cm
Question
15
15.
If the radius of a circle is 12.00 cm and the area of a sector is 165.94 sq.cm, 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
16
16.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 47.54 cm, the angle subtended at the center by the arc of the sector is
(i)
146.00°
(ii)
133.00°
(iii)
145.00°
(iv)
120.00°
(v)
125.00°
Question
17
17.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 27.16 cm, the length of the arc of the sector is
(i)
7.16 cm
(ii)
6.16 cm
(iii)
5.16 cm
(iv)
9.16 cm
(v)
8.16 cm
Question
18
18.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 44.41 cm, the area of the sector is
(i)
108.04 sq.cm
(ii)
95.04 sq.cm
(iii)
120.04 sq.cm
(iv)
116.04 sq.cm
(v)
82.04 sq.cm
Question
19
19.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 59.53 cm, the area of the circle is
(i)
602.00 sq.cm
(ii)
622.00 sq.cm
(iii)
616.00 sq.cm
(iv)
634.00 sq.cm
(v)
599.00 sq.cm
Question
20
20.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 48.81 cm, the perimeter of the circle is
(i)
65.86 cm
(ii)
67.86 cm
(iii)
62.86 cm
(iv)
59.86 cm
(v)
57.86 cm
Question
21
21.
If the area of a sector of a circle is 149.29 sq.cm and the angle subtended at the center by the arc of the sector is 76.00°, the radius of the circle is
(i)
20.00 cm
(ii)
18.00 cm
(iii)
15.00 cm
(iv)
12.00 cm
(v)
10.00 cm
Question
22
22.
If the area of a sector of a circle is 215.41 sq.cm and the angle subtended at the center by the arc of the sector is 146.00°, the length of the arc of the sector is
(i)
33.14 cm
(ii)
28.14 cm
(iii)
36.14 cm
(iv)
38.14 cm
(v)
30.14 cm
Question
23
23.
If the area of a sector of a circle is 133.47 sq.cm and the angle subtended at the center by the arc of the sector is 78.00°, the perimeter of the sector is
(i)
44.07 cm
(ii)
50.07 cm
(iii)
52.07 cm
(iv)
42.07 cm
(v)
47.07 cm
Question
24
24.
If the area of a sector of a circle is 162.17 sq.cm and the angle subtended at the center by the arc of the sector is 129.00°, the area of the circle is
(i)
452.57 sq.cm
(ii)
457.57 sq.cm
(iii)
429.57 sq.cm
(iv)
444.57 sq.cm
(v)
468.57 sq.cm
Question
25
25.
If the area of a sector of a circle is 241.27 sq.cm and the angle subtended at the center by the arc of the sector is 141.00°, the perimeter of the circle is
(i)
91.00 cm
(ii)
93.00 cm
(iii)
83.00 cm
(iv)
85.00 cm
(v)
88.00 cm
Question
26
26.
If the area of a sector of a circle is 178.75 sq.cm and the length of the arc of the sector is 23.83 cm, the radius of the circle is
(i)
20.00 cm
(ii)
18.00 cm
(iii)
15.00 cm
(iv)
10.00 cm
(v)
12.00 cm
Question
27
27.
If the area of a sector of a circle is 88.18 sq.cm and the length of the arc of the sector is 17.64 cm, the angle subtended at the center by the arc of the sector is
(i)
129.00°
(ii)
101.00°
(iii)
85.00°
(iv)
118.00°
Question
28
28.
If the area of a sector of a circle is 104.34 sq.cm and the length of the arc of the sector is 17.39 cm, the perimeter of the sector is
(i)
38.39 cm
(ii)
44.39 cm
(iii)
46.39 cm
(iv)
36.39 cm
(v)
41.39 cm
Question
29
29.
If the area of a sector of a circle is 178.53 sq.cm and the length of the arc of the sector is 32.46 cm, the area of the circle is
(i)
394.29 sq.cm
(ii)
378.29 sq.cm
(iii)
362.29 sq.cm
(iv)
380.29 sq.cm
(v)
386.29 sq.cm
Question
30
30.
If the area of a sector of a circle is 196.78 sq.cm and the length of the arc of the sector is 28.11 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
31
31.
If the area of a sector of a circle is 155.71 sq.cm and the area of the circle is 616.00 sq.cm, the radius of the circle is
(i)
17.00 cm
(ii)
9.00 cm
(iii)
19.00 cm
(iv)
14.00 cm
(v)
11.00 cm
Question
32
32.
If the area of a sector of a circle is 61.98 sq.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)
68.00°
(ii)
76.00°
(iii)
71.00°
(iv)
66.00°
(v)
74.00°
Question
33
33.
If the area of a sector of a circle is 191.64 sq.cm and the area of the circle is 616.00 sq.cm, the length of the arc of the sector is
(i)
27.38 cm
(ii)
32.38 cm
(iii)
30.38 cm
(iv)
24.38 cm
(v)
22.38 cm
Question
34
34.
If the area of a sector of a circle is 126.59 sq.cm and the area of the circle is 314.29 sq.cm, the perimeter of the sector is
(i)
40.32 cm
(ii)
45.32 cm
(iii)
48.32 cm
(iv)
50.32 cm
(v)
42.32 cm
Question
35
35.
If the area of a sector of a circle is 130.74 sq.cm and the area of the circle is 452.57 sq.cm, the perimeter of the circle is
(i)
80.43 cm
(ii)
72.43 cm
(iii)
78.43 cm
(iv)
75.43 cm
(v)
70.43 cm
Question
36
36.
If the length of the arc of a sector is 31.95 cm and the angle subtended at the center by the arc of the sector is 122.00°, the radius of the circle is
(i)
18.00 cm
(ii)
20.00 cm
(iii)
12.00 cm
(iv)
10.00 cm
(v)
15.00 cm
Question
37
37.
If the length of the arc of a sector is 40.09 cm and the angle subtended at the center by the arc of the sector is 164.00°, the area of the sector is
(i)
288.62 sq.cm
(ii)
256.62 sq.cm
(iii)
280.62 sq.cm
(iv)
265.62 sq.cm
(v)
293.62 sq.cm
Question
38
38.
If the length of the arc of a sector is 40.60 cm and the angle subtended at the center by the arc of the sector is 155.00°, the perimeter of the sector is
(i)
75.60 cm
(ii)
65.60 cm
(iii)
73.60 cm
(iv)
67.60 cm
(v)
70.60 cm
Question
39
39.
If the length of the arc of a sector is 18.61 cm and the angle subtended at the center by the arc of the sector is 82.00°, the perimeter of the circle is
(i)
86.71 cm
(ii)
76.71 cm
(iii)
78.71 cm
(iv)
84.71 cm
(v)
81.71 cm
Question
40
40.
If the length of the arc of a sector is 25.93 cm and the area of the circle is 707.14 sq.cm, the radius of the circle is
(i)
15.00 cm
(ii)
18.00 cm
(iii)
12.00 cm
(iv)
20.00 cm
(v)
10.00 cm
Question
41
41.
If the length of the arc of a sector is 26.19 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)
134.00°
(ii)
135.00°
(iii)
162.00°
(iv)
153.00°
(v)
150.00°
Question
42
42.
If the length of the arc of a sector is 19.75 cm and the area of the circle is 531.14 sq.cm, the area of the sector is
(i)
143.36 sq.cm
(ii)
128.36 sq.cm
(iii)
140.36 sq.cm
(iv)
124.36 sq.cm
(v)
104.36 sq.cm
Question
43
43.
If the length of the arc of a sector is 33.53 cm and the area of the circle is 707.14 sq.cm, the perimeter of the sector is
(i)
60.53 cm
(ii)
63.53 cm
(iii)
66.53 cm
(iv)
68.53 cm
(v)
58.53 cm
Question
44
44.
If the length of the arc of a sector is 26.64 cm and the area of the circle is 616.00 sq.cm, the perimeter of the circle is
(i)
83.00 cm
(ii)
85.00 cm
(iii)
93.00 cm
(iv)
88.00 cm
(v)
91.00 cm
Question
45
45.
If the length of the arc of a sector is 13.44 cm and the perimeter of the circle is 88.00 cm, the radius of the circle is
(i)
14.00 cm
(ii)
19.00 cm
(iii)
9.00 cm
(iv)
11.00 cm
(v)
17.00 cm
Question
46
46.
If the length of the arc of a sector is 21.27 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)
84.00°
(ii)
82.00°
(iii)
90.00°
(iv)
87.00°
(v)
92.00°
Question
47
47.
If the length of the arc of a sector is 35.10 cm and the perimeter of the circle is 94.29 cm, the area of the sector is
(i)
263.21 sq.cm
(ii)
280.21 sq.cm
(iii)
241.21 sq.cm
(iv)
249.21 sq.cm
(v)
268.21 sq.cm
Question
48
48.
If the length of the arc of a sector is 37.72 cm and the perimeter of the circle is 94.29 cm, the perimeter of the sector is
(i)
72.72 cm
(ii)
64.72 cm
(iii)
62.72 cm
(iv)
70.72 cm
(v)
67.72 cm
Question
49
49.
If the length of the arc of a sector is 20.65 cm and the perimeter of the circle is 81.71 cm, the area of the circle is
(i)
503.14 sq.cm
(ii)
531.14 sq.cm
(iii)
524.14 sq.cm
(iv)
558.14 sq.cm
(v)
537.14 sq.cm
Assignment Key
1) (iv)
2) (i)
3) (v)
4) (iv)
5) (v)
6) (i)
7) (ii)
8) (ii)
9) (v)
10) (i)
11) (ii)
12) (i)
13) (v)
14) (iii)
15) (iv)
16) (ii)
17) (i)
18) (i)
19) (iii)
20) (iii)
21) (iii)
22) (i)
23) (v)
24) (i)
25) (v)
26) (iii)
27) (ii)
28) (v)
29) (iv)
30) (iii)
31) (iv)
32) (iii)
33) (i)
34) (ii)
35) (iv)
36) (v)
37) (iii)
38) (v)
39) (v)
40) (i)
41) (v)
42) (ii)
43) (ii)
44) (iv)
45) (i)
46) (iv)
47) (i)
48) (v)
49) (ii)
