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 13.00 cm and the angle subtended at the center by the arc of a sector is 170.00°, the length of the arc of the sector is
(i)
43.59 cm
(ii)
35.59 cm
(iii)
33.59 cm
(iv)
38.59 cm
(v)
41.59 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 103.00°, the area of the sector is
(i)
194.24 sq.cm
(ii)
169.24 sq.cm
(iii)
154.24 sq.cm
(iv)
192.24 sq.cm
(v)
176.24 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 140.00°, the perimeter of the sector is
(i)
53.89 cm
(ii)
51.89 cm
(iii)
45.89 cm
(iv)
43.89 cm
(v)
48.89 cm
Question
4
4.
If the radius of a circle is 13.00 cm and the angle subtended at the center by the arc of a sector is 37.00°, the area of the circle is
(i)
538.14 sq.cm
(ii)
516.14 sq.cm
(iii)
547.14 sq.cm
(iv)
504.14 sq.cm
(v)
531.14 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 81.00°, the perimeter of the circle is
(i)
81.71 cm
(ii)
84.71 cm
(iii)
76.71 cm
(iv)
78.71 cm
(v)
86.71 cm
Question
6
6.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 32.46 cm, the angle subtended at the center by the arc of the sector is
(i)
143.00°
(ii)
125.00°
(iii)
129.00°
(iv)
160.00°
(v)
166.00°
Question
7
7.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 14.75 cm, the area of the sector is
(i)
95.90 sq.cm
(ii)
92.90 sq.cm
(iii)
90.90 sq.cm
(iv)
98.90 sq.cm
(v)
100.90 sq.cm
Question
8
8.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 17.70 cm, the perimeter of the sector is
(i)
40.70 cm
(ii)
48.70 cm
(iii)
38.70 cm
(iv)
46.70 cm
(v)
43.70 cm
Question
9
9.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 32.27 cm, the area of the circle is
(i)
426.57 sq.cm
(ii)
452.57 sq.cm
(iii)
457.57 sq.cm
(iv)
435.57 sq.cm
(v)
480.57 sq.cm
Question
10
10.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 20.25 cm, the perimeter of the circle is
(i)
65.86 cm
(ii)
62.86 cm
(iii)
67.86 cm
(iv)
57.86 cm
(v)
59.86 cm
Question
11
11.
If the radius of a circle is 10.00 cm and the area of a sector is 41.91 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
48.00°
(ii)
43.00°
(iii)
53.00°
(iv)
51.00°
(v)
45.00°
Question
12
12.
If the radius of a circle is 14.00 cm and the area of a sector is 241.27 sq.cm, the length of the arc of the sector is
(i)
31.47 cm
(ii)
34.47 cm
(iii)
29.47 cm
(iv)
39.47 cm
(v)
37.47 cm
Question
13
13.
If the radius of a circle is 15.00 cm and the area of a sector is 308.39 sq.cm, the perimeter of the sector is
(i)
68.12 cm
(ii)
71.12 cm
(iii)
74.12 cm
(iv)
66.12 cm
(v)
76.12 cm
Question
14
14.
If the radius of a circle is 10.00 cm and the area of a sector is 146.67 sq.cm, the area of the circle is
(i)
297.29 sq.cm
(ii)
326.29 sq.cm
(iii)
340.29 sq.cm
(iv)
298.29 sq.cm
(v)
314.29 sq.cm
Question
15
15.
If the radius of a circle is 15.00 cm and the area of a sector is 223.93 sq.cm, the perimeter of the circle is
(i)
99.29 cm
(ii)
97.29 cm
(iii)
89.29 cm
(iv)
91.29 cm
(v)
94.29 cm
Question
16
16.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 39.86 cm, the angle subtended at the center by the arc of the sector is
(i)
98.00°
(ii)
96.00°
(iii)
90.00°
(iv)
93.00°
(v)
88.00°
Question
17
17.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 36.31 cm, the length of the arc of the sector is
(i)
8.31 cm
(ii)
7.31 cm
(iii)
9.31 cm
(iv)
6.31 cm
(v)
10.31 cm
Question
18
18.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 33.62 cm, the area of the sector is
(i)
63.10 sq.cm
(ii)
71.10 sq.cm
(iii)
68.10 sq.cm
(iv)
73.10 sq.cm
(v)
65.10 sq.cm
Question
19
19.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 59.04 cm, the area of the circle is
(i)
621.00 sq.cm
(ii)
603.00 sq.cm
(iii)
616.00 sq.cm
(iv)
640.00 sq.cm
(v)
598.00 sq.cm
Question
20
20.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 32.95 cm, the perimeter of the circle is
(i)
64.14 cm
(ii)
72.14 cm
(iii)
69.14 cm
(iv)
74.14 cm
(v)
66.14 cm
Question
21
21.
If the area of a sector of a circle is 158.40 sq.cm and the angle subtended at the center by the arc of the sector is 126.00°, the radius of the circle is
(i)
7.00 cm
(ii)
9.00 cm
(iii)
15.00 cm
(iv)
12.00 cm
(v)
17.00 cm
Question
22
22.
If the area of a sector of a circle is 154.00 sq.cm and the angle subtended at the center by the arc of the sector is 90.00°, the length of the arc of the sector is
(i)
17.00 cm
(ii)
27.00 cm
(iii)
19.00 cm
(iv)
25.00 cm
(v)
22.00 cm
Question
23
23.
If the area of a sector of a circle is 116.91 sq.cm and the angle subtended at the center by the arc of the sector is 93.00°, the perimeter of the sector is
(i)
40.49 cm
(ii)
38.49 cm
(iii)
43.49 cm
(iv)
46.49 cm
(v)
48.49 cm
Question
24
24.
If the area of a sector of a circle is 75.24 sq.cm and the angle subtended at the center by the arc of the sector is 51.00°, the area of the circle is
(i)
556.14 sq.cm
(ii)
531.14 sq.cm
(iii)
543.14 sq.cm
(iv)
517.14 sq.cm
(v)
503.14 sq.cm
Question
25
25.
If the area of a sector of a circle is 150.58 sq.cm and the angle subtended at the center by the arc of the sector is 88.00°, the perimeter of the circle is
(i)
83.00 cm
(ii)
88.00 cm
(iii)
91.00 cm
(iv)
93.00 cm
(v)
85.00 cm
Question
26
26.
If the area of a sector of a circle is 95.16 sq.cm and the length of the arc of the sector is 19.03 cm, the radius of the circle is
(i)
5.00 cm
(ii)
13.00 cm
(iii)
7.00 cm
(iv)
15.00 cm
(v)
10.00 cm
Question
27
27.
If the area of a sector of a circle is 181.47 sq.cm and the length of the arc of the sector is 27.92 cm, the angle subtended at the center by the arc of the sector is
(i)
100.00°
(ii)
138.00°
(iii)
123.00°
(iv)
119.00°
(v)
137.00°
Question
28
28.
If the area of a sector of a circle is 166.96 sq.cm and the length of the arc of the sector is 22.26 cm, the perimeter of the sector is
(i)
49.26 cm
(ii)
55.26 cm
(iii)
57.26 cm
(iv)
47.26 cm
(v)
52.26 cm
Question
29
29.
If the area of a sector of a circle is 94.29 sq.cm and the length of the arc of the sector is 18.86 cm, the area of the circle is
(i)
328.29 sq.cm
(ii)
289.29 sq.cm
(iii)
314.29 sq.cm
(iv)
332.29 sq.cm
(v)
297.29 sq.cm
Question
30
30.
If the area of a sector of a circle is 213.71 sq.cm and the length of the arc of the sector is 35.62 cm, the perimeter of the circle is
(i)
72.43 cm
(ii)
78.43 cm
(iii)
75.43 cm
(iv)
80.43 cm
(v)
70.43 cm
Question
31
31.
If the area of a sector of a circle is 155.89 sq.cm and the area of the circle is 452.57 sq.cm, the radius of the circle is
(i)
15.00 cm
(ii)
9.00 cm
(iii)
17.00 cm
(iv)
12.00 cm
(v)
7.00 cm
Question
32
32.
If the area of a sector of a circle is 68.10 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)
83.00°
(ii)
81.00°
(iii)
75.00°
(iv)
73.00°
(v)
78.00°
Question
33
33.
If the area of a sector of a circle is 149.29 sq.cm and the area of the circle is 707.14 sq.cm, the length of the arc of the sector is
(i)
24.91 cm
(ii)
19.91 cm
(iii)
16.91 cm
(iv)
14.91 cm
(v)
22.91 cm
Question
34
34.
If the area of a sector of a circle is 55.99 sq.cm and the area of the circle is 380.29 sq.cm, the perimeter of the sector is
(i)
27.18 cm
(ii)
29.18 cm
(iii)
32.18 cm
(iv)
37.18 cm
(v)
35.18 cm
Question
35
35.
If the area of a sector of a circle is 218.36 sq.cm and the area of the circle is 531.14 sq.cm, the perimeter of the circle is
(i)
84.71 cm
(ii)
78.71 cm
(iii)
76.71 cm
(iv)
86.71 cm
(v)
81.71 cm
Question
36
36.
If the length of the arc of a sector is 37.45 cm and the angle subtended at the center by the arc of the sector is 143.00°, the radius of the circle is
(i)
15.00 cm
(ii)
18.00 cm
(iii)
10.00 cm
(iv)
20.00 cm
(v)
12.00 cm
Question
37
37.
If the length of the arc of a sector is 38.13 cm and the angle subtended at the center by the arc of the sector is 156.00°, the area of the sector is
(i)
273.93 sq.cm
(ii)
258.93 sq.cm
(iii)
251.93 sq.cm
(iv)
266.93 sq.cm
(v)
292.93 sq.cm
Question
38
38.
If the length of the arc of a sector is 8.21 cm and the angle subtended at the center by the arc of the sector is 47.00°, the perimeter of the sector is
(i)
31.21 cm
(ii)
25.21 cm
(iii)
23.21 cm
(iv)
33.21 cm
(v)
28.21 cm
Question
39
39.
If the length of the arc of a sector is 40.82 cm and the angle subtended at the center by the arc of the sector is 167.00°, the perimeter of the circle is
(i)
93.00 cm
(ii)
91.00 cm
(iii)
85.00 cm
(iv)
88.00 cm
(v)
83.00 cm
Question
40
40.
If the length of the arc of a sector is 16.13 cm and the area of the circle is 380.29 sq.cm, the radius of the circle is
(i)
8.00 cm
(ii)
16.00 cm
(iii)
14.00 cm
(iv)
11.00 cm
(v)
6.00 cm
Question
41
41.
If the length of the arc of a sector is 26.89 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)
110.00°
(ii)
105.00°
(iii)
133.00°
(iv)
113.00°
(v)
92.00°
Question
42
42.
If the length of the arc of a sector is 14.14 cm and the area of the circle is 314.29 sq.cm, the area of the sector is
(i)
67.72 sq.cm
(ii)
75.72 sq.cm
(iii)
70.72 sq.cm
(iv)
65.72 sq.cm
(v)
73.72 sq.cm
Question
43
43.
If the length of the arc of a sector is 9.53 cm and the area of the circle is 616.00 sq.cm, the perimeter of the sector is
(i)
34.53 cm
(ii)
40.53 cm
(iii)
32.53 cm
(iv)
37.53 cm
(v)
42.53 cm
Question
44
44.
If the length of the arc of a sector is 30.64 cm and the area of the circle is 707.14 sq.cm, the perimeter of the circle is
(i)
91.29 cm
(ii)
97.29 cm
(iii)
99.29 cm
(iv)
94.29 cm
(v)
89.29 cm
Question
45
45.
If the length of the arc of a sector is 23.24 cm and the perimeter of the circle is 69.14 cm, the radius of the circle is
(i)
8.00 cm
(ii)
16.00 cm
(iii)
6.00 cm
(iv)
11.00 cm
(v)
14.00 cm
Question
46
46.
If the length of the arc of a sector is 25.42 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)
89.00°
(ii)
104.00°
(iii)
88.00°
(iv)
118.00°
(v)
106.00°
Question
47
47.
If the length of the arc of a sector is 30.64 cm and the perimeter of the circle is 81.71 cm, the area of the sector is
(i)
214.18 sq.cm
(ii)
192.18 sq.cm
(iii)
199.18 sq.cm
(iv)
216.18 sq.cm
(v)
171.18 sq.cm
Question
48
48.
If the length of the arc of a sector is 9.99 cm and the perimeter of the circle is 69.14 cm, the perimeter of the sector is
(i)
31.99 cm
(ii)
34.99 cm
(iii)
26.99 cm
(iv)
28.99 cm
(v)
36.99 cm
Question
49
49.
If the length of the arc of a sector is 11.26 cm and the perimeter of the circle is 94.29 cm, the area of the circle is
(i)
695.14 sq.cm
(ii)
732.14 sq.cm
(iii)
710.14 sq.cm
(iv)
707.14 sq.cm
(v)
683.14 sq.cm
Assignment Key
1) (iv)
2) (v)
3) (v)
4) (v)
5) (i)
6) (i)
7) (i)
8) (v)
9) (ii)
10) (ii)
11) (i)
12) (ii)
13) (ii)
14) (v)
15) (v)
16) (iv)
17) (i)
18) (iii)
19) (iii)
20) (iii)
21) (iv)
22) (v)
23) (iii)
24) (ii)
25) (ii)
26) (v)
27) (iii)
28) (v)
29) (iii)
30) (iii)
31) (iv)
32) (v)
33) (ii)
34) (iii)
35) (v)
36) (i)
37) (iv)
38) (v)
39) (iv)
40) (iv)
41) (i)
42) (iii)
43) (iv)
44) (iv)
45) (iv)
46) (ii)
47) (iii)
48) (i)
49) (iv)
