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 44.00°, the length of the arc of the sector is
(i)
10.99 cm
(ii)
8.99 cm
(iii)
9.99 cm
(iv)
7.99 cm
(v)
11.99 cm
Question
2
2.
If the radius of a circle is 15.00 cm and the angle subtended at the center by the arc of a sector is 153.00°, the area of the sector is
(i)
294.53 sq.cm
(ii)
312.53 sq.cm
(iii)
286.53 sq.cm
(iv)
300.53 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 144.00°, the perimeter of the sector is
(i)
67.72 cm
(ii)
72.72 cm
(iii)
64.72 cm
(iv)
62.72 cm
(v)
70.72 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 60.00°, the area of the circle is
(i)
604.00 sq.cm
(ii)
631.00 sq.cm
(iii)
590.00 sq.cm
(iv)
616.00 sq.cm
(v)
630.00 sq.cm
Question
5
5.
If the radius of a circle is 10.00 cm and the angle subtended at the center by the arc of a sector is 153.00°, the perimeter of the circle is
(i)
57.86 cm
(ii)
67.86 cm
(iii)
62.86 cm
(iv)
65.86 cm
(v)
59.86 cm
Question
6
6.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 14.75 cm, the angle subtended at the center by the arc of the sector is
(i)
62.00°
(ii)
60.00°
(iii)
68.00°
(iv)
65.00°
(v)
70.00°
Question
7
7.
If the radius of a circle is 14.00 cm and the length of the arc of a sector is 29.09 cm, the area of the sector is
(i)
210.62 sq.cm
(ii)
203.62 sq.cm
(iii)
198.62 sq.cm
(iv)
219.62 sq.cm
(v)
176.62 sq.cm
Question
8
8.
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 sector is
(i)
55.52 cm
(ii)
47.52 cm
(iii)
57.52 cm
(iv)
49.52 cm
(v)
52.52 cm
Question
9
9.
If the radius of a circle is 15.00 cm and the length of the arc of a sector is 11.00 cm, the area of the circle is
(i)
719.14 sq.cm
(ii)
723.14 sq.cm
(iii)
699.14 sq.cm
(iv)
684.14 sq.cm
(v)
707.14 sq.cm
Question
10
10.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 26.82 cm, the perimeter of the circle is
(i)
72.43 cm
(ii)
75.43 cm
(iii)
80.43 cm
(iv)
70.43 cm
(v)
78.43 cm
Question
11
11.
If the radius of a circle is 11.00 cm and the area of a sector is 75.00 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
66.00°
(ii)
71.00°
(iii)
68.00°
(iv)
76.00°
(v)
74.00°
Question
12
12.
If the radius of a circle is 11.00 cm and the area of a sector is 118.31 sq.cm, the length of the arc of the sector is
(i)
24.51 cm
(ii)
18.51 cm
(iii)
21.51 cm
(iv)
16.51 cm
(v)
26.51 cm
Question
13
13.
If the radius of a circle is 15.00 cm and the area of a sector is 157.14 sq.cm, the perimeter of the sector is
(i)
53.95 cm
(ii)
47.95 cm
(iii)
55.95 cm
(iv)
45.95 cm
(v)
50.95 cm
Question
14
14.
If the radius of a circle is 13.00 cm and the area of a sector is 84.10 sq.cm, the area of the circle is
(i)
513.14 sq.cm
(ii)
544.14 sq.cm
(iii)
533.14 sq.cm
(iv)
531.14 sq.cm
(v)
517.14 sq.cm
Question
15
15.
If the radius of a circle is 10.00 cm and the area of a sector is 31.43 sq.cm, the perimeter of the circle is
(i)
67.86 cm
(ii)
59.86 cm
(iii)
65.86 cm
(iv)
62.86 cm
(v)
57.86 cm
Question
16
16.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 47.74 cm, the angle subtended at the center by the arc of the sector is
(i)
132.00°
(ii)
134.00°
(iii)
147.00°
(iv)
108.00°
Question
17
17.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 46.50 cm, the length of the arc of the sector is
(i)
16.50 cm
(ii)
13.50 cm
(iii)
19.50 cm
(iv)
21.50 cm
(v)
11.50 cm
Question
18
18.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 71.38 cm, the area of the sector is
(i)
287.36 sq.cm
(ii)
326.36 sq.cm
(iii)
310.36 sq.cm
(iv)
292.36 sq.cm
(v)
325.36 sq.cm
Question
19
19.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 27.16 cm, the area of the circle is
(i)
314.29 sq.cm
(ii)
312.29 sq.cm
(iii)
330.29 sq.cm
(iv)
291.29 sq.cm
(v)
329.29 sq.cm
Question
20
20.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 46.02 cm, the perimeter of the circle is
(i)
59.86 cm
(ii)
67.86 cm
(iii)
57.86 cm
(iv)
65.86 cm
(v)
62.86 cm
Question
21
21.
If the area of a sector of a circle is 89.79 sq.cm and the angle subtended at the center by the arc of the sector is 85.00°, the radius of the circle is
(i)
8.00 cm
(ii)
11.00 cm
(iii)
14.00 cm
(iv)
16.00 cm
(v)
6.00 cm
Question
22
22.
If the area of a sector of a circle is 76.61 sq.cm and the angle subtended at the center by the arc of the sector is 39.00°, the length of the arc of the sector is
(i)
7.21 cm
(ii)
13.21 cm
(iii)
15.21 cm
(iv)
5.21 cm
(v)
10.21 cm
Question
23
23.
If the area of a sector of a circle is 192.34 sq.cm and the angle subtended at the center by the arc of the sector is 153.00°, the perimeter of the sector is
(i)
53.06 cm
(ii)
61.06 cm
(iii)
51.06 cm
(iv)
56.06 cm
(v)
59.06 cm
Question
24
24.
If the area of a sector of a circle is 81.71 sq.cm and the angle subtended at the center by the arc of the sector is 65.00°, the area of the circle is
(i)
470.57 sq.cm
(ii)
447.57 sq.cm
(iii)
458.57 sq.cm
(iv)
452.57 sq.cm
(v)
426.57 sq.cm
Question
25
25.
If the area of a sector of a circle is 65.48 sq.cm and the angle subtended at the center by the arc of the sector is 75.00°, the perimeter of the circle is
(i)
67.86 cm
(ii)
57.86 cm
(iii)
62.86 cm
(iv)
59.86 cm
(v)
65.86 cm
Question
26
26.
If the area of a sector of a circle is 106.51 sq.cm and the length of the arc of the sector is 21.30 cm, the radius of the circle is
(i)
15.00 cm
(ii)
5.00 cm
(iii)
10.00 cm
(iv)
13.00 cm
(v)
7.00 cm
Question
27
27.
If the area of a sector of a circle is 227.58 sq.cm and the length of the arc of the sector is 32.51 cm, the angle subtended at the center by the arc of the sector is
(i)
138.00°
(ii)
133.00°
(iii)
150.00°
(iv)
109.00°
(v)
130.00°
Question
28
28.
If the area of a sector of a circle is 104.38 sq.cm and the length of the arc of the sector is 14.91 cm, the perimeter of the sector is
(i)
47.91 cm
(ii)
45.91 cm
(iii)
42.91 cm
(iv)
37.91 cm
(v)
39.91 cm
Question
29
29.
If the area of a sector of a circle is 74.21 sq.cm and the length of the arc of the sector is 14.84 cm, the area of the circle is
(i)
314.29 sq.cm
(ii)
331.29 sq.cm
(iii)
306.29 sq.cm
(iv)
319.29 sq.cm
(v)
300.29 sq.cm
Question
30
30.
If the area of a sector of a circle is 125.71 sq.cm and the length of the arc of the sector is 16.76 cm, the perimeter of the circle is
(i)
91.29 cm
(ii)
89.29 cm
(iii)
99.29 cm
(iv)
97.29 cm
(v)
94.29 cm
Question
31
31.
If the area of a sector of a circle is 202.40 sq.cm and the area of the circle is 452.57 sq.cm, the radius of the circle is
(i)
15.00 cm
(ii)
17.00 cm
(iii)
12.00 cm
(iv)
9.00 cm
(v)
7.00 cm
Question
32
32.
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 angle subtended at the center by the arc of the sector is
(i)
108.00°
(ii)
101.00°
(iii)
122.00°
(iv)
104.00°
(v)
88.00°
Question
33
33.
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 length of the arc of the sector is
(i)
9.07 cm
(ii)
7.07 cm
(iii)
10.07 cm
(iv)
6.07 cm
(v)
8.07 cm
Question
34
34.
If the area of a sector of a circle is 104.11 sq.cm and the area of the circle is 707.14 sq.cm, the perimeter of the sector is
(i)
38.88 cm
(ii)
48.88 cm
(iii)
43.88 cm
(iv)
46.88 cm
(v)
40.88 cm
Question
35
35.
If the area of a sector of a circle is 249.34 sq.cm and the area of the circle is 531.14 sq.cm, the perimeter of the circle is
(i)
84.71 cm
(ii)
81.71 cm
(iii)
86.71 cm
(iv)
76.71 cm
(v)
78.71 cm
Question
36
36.
If the length of the arc of a sector is 19.64 cm and the angle subtended at the center by the arc of the sector is 75.00°, the radius of the circle is
(i)
18.00 cm
(ii)
20.00 cm
(iii)
10.00 cm
(iv)
12.00 cm
(v)
15.00 cm
Question
37
37.
If the length of the arc of a sector is 8.26 cm and the angle subtended at the center by the arc of the sector is 43.00°, the area of the sector is
(i)
40.42 sq.cm
(ii)
48.42 sq.cm
(iii)
50.42 sq.cm
(iv)
42.42 sq.cm
(v)
45.42 sq.cm
Question
38
38.
If the length of the arc of a sector is 38.24 cm and the angle subtended at the center by the arc of the sector is 146.00°, the perimeter of the sector is
(i)
68.24 cm
(ii)
63.24 cm
(iii)
73.24 cm
(iv)
71.24 cm
(v)
65.24 cm
Question
39
39.
If the length of the arc of a sector is 11.18 cm and the angle subtended at the center by the arc of the sector is 64.00°, the perimeter of the circle is
(i)
67.86 cm
(ii)
62.86 cm
(iii)
59.86 cm
(iv)
57.86 cm
(v)
65.86 cm
Question
40
40.
If the length of the arc of a sector is 37.22 cm and the area of the circle is 531.14 sq.cm, the radius of the circle is
(i)
10.00 cm
(ii)
8.00 cm
(iii)
16.00 cm
(iv)
18.00 cm
(v)
13.00 cm
Question
41
41.
If the length of the arc of a sector is 9.41 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)
46.00°
(ii)
54.00°
(iii)
52.00°
(iv)
49.00°
(v)
44.00°
Question
42
42.
If the length of the arc of a sector is 25.32 cm and the area of the circle is 314.29 sq.cm, the area of the sector is
(i)
122.59 sq.cm
(ii)
113.59 sq.cm
(iii)
142.59 sq.cm
(iv)
126.59 sq.cm
(v)
133.59 sq.cm
Question
43
43.
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)
46.21 cm
(ii)
36.21 cm
(iii)
41.21 cm
(iv)
44.21 cm
(v)
38.21 cm
Question
44
44.
If the length of the arc of a sector is 15.72 cm and the area of the circle is 707.14 sq.cm, the perimeter of the circle is
(i)
97.29 cm
(ii)
89.29 cm
(iii)
99.29 cm
(iv)
94.29 cm
(v)
91.29 cm
Question
45
45.
If the length of the arc of a sector is 6.15 cm and the perimeter of the circle is 69.14 cm, the radius of the circle is
(i)
16.00 cm
(ii)
11.00 cm
(iii)
14.00 cm
(iv)
8.00 cm
(v)
6.00 cm
Question
46
46.
If the length of the arc of a sector is 39.29 cm and the perimeter of the circle is 94.29 cm, the angle subtended at the center by the arc of the sector is
(i)
134.00°
(ii)
163.00°
(iii)
150.00°
(iv)
168.00°
(v)
125.00°
Question
47
47.
If the length of the arc of a sector is 37.90 cm and the perimeter of the circle is 81.71 cm, the area of the sector is
(i)
268.39 sq.cm
(ii)
219.39 sq.cm
(iii)
251.39 sq.cm
(iv)
246.39 sq.cm
(v)
232.39 sq.cm
Question
48
48.
If the length of the arc of a sector is 13.44 cm and the perimeter of the circle is 88.00 cm, the perimeter of the sector is
(i)
36.44 cm
(ii)
38.44 cm
(iii)
44.44 cm
(iv)
46.44 cm
(v)
41.44 cm
Question
49
49.
If the length of the arc of a sector is 24.36 cm and the perimeter of the circle is 94.29 cm, the area of the circle is
(i)
709.14 sq.cm
(ii)
707.14 sq.cm
(iii)
721.14 sq.cm
(iv)
702.14 sq.cm
(v)
694.14 sq.cm
Assignment Key
1) (iii)
2) (iv)
3) (i)
4) (iv)
5) (iii)
6) (iv)
7) (ii)
8) (v)
9) (v)
10) (ii)
11) (ii)
12) (iii)
13) (v)
14) (iv)
15) (iv)
16) (ii)
17) (i)
18) (iii)
19) (i)
20) (v)
21) (ii)
22) (v)
23) (iv)
24) (iv)
25) (iii)
26) (iii)
27) (ii)
28) (iii)
29) (i)
30) (v)
31) (iii)
32) (iv)
33) (v)
34) (iii)
35) (ii)
36) (v)
37) (v)
38) (i)
39) (ii)
40) (v)
41) (iv)
42) (iv)
43) (iii)
44) (iv)
45) (ii)
46) (iii)
47) (iv)
48) (v)
49) (ii)
