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 14.00 cm and the angle subtended at the center by the arc of a sector is 49.00°, the length of the arc of the sector is
(i)
16.98 cm
(ii)
8.98 cm
(iii)
6.98 cm
(iv)
14.98 cm
(v)
11.98 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 83.00°, the area of the sector is
(i)
135.02 sq.cm
(ii)
124.02 sq.cm
(iii)
142.02 sq.cm
(iv)
157.02 sq.cm
(v)
156.02 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 89.00°, the perimeter of the sector is
(i)
37.65 cm
(ii)
47.65 cm
(iii)
45.65 cm
(iv)
42.65 cm
(v)
39.65 cm
Question
4
4.
If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 156.00°, the area of the circle is
(i)
437.57 sq.cm
(ii)
460.57 sq.cm
(iii)
468.57 sq.cm
(iv)
452.57 sq.cm
(v)
434.57 sq.cm
Question
5
5.
If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 36.00°, the perimeter of the circle is
(i)
64.14 cm
(ii)
69.14 cm
(iii)
74.14 cm
(iv)
72.14 cm
(v)
66.14 cm
Question
6
6.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 21.13 cm, the angle subtended at the center by the arc of the sector is
(i)
138.00°
(ii)
125.00°
(iii)
106.00°
(iv)
121.00°
(v)
119.00°
Question
7
7.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 8.17 cm, the area of the sector is
(i)
50.11 sq.cm
(ii)
48.11 sq.cm
(iii)
58.11 sq.cm
(iv)
56.11 sq.cm
(v)
53.11 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 15.89 cm, the perimeter of the sector is
(i)
38.89 cm
(ii)
32.89 cm
(iii)
40.89 cm
(iv)
30.89 cm
(v)
35.89 cm
Question
9
9.
If the radius of a circle is 15.00 cm and the length of the arc of a sector is 22.26 cm, the area of the circle is
(i)
713.14 sq.cm
(ii)
680.14 sq.cm
(iii)
724.14 sq.cm
(iv)
702.14 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 31.22 cm, the perimeter of the circle is
(i)
78.43 cm
(ii)
72.43 cm
(iii)
75.43 cm
(iv)
70.43 cm
(v)
80.43 cm
Question
11
11.
If the radius of a circle is 14.00 cm and the area of a sector is 159.13 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
93.00°
(ii)
88.00°
(iii)
96.00°
(iv)
98.00°
(v)
90.00°
Question
12
12.
If the radius of a circle is 12.00 cm and the area of a sector is 47.77 sq.cm, the length of the arc of the sector is
(i)
6.96 cm
(ii)
9.96 cm
(iii)
7.96 cm
(iv)
8.96 cm
(v)
5.96 cm
Question
13
13.
If the radius of a circle is 15.00 cm and the area of a sector is 194.46 sq.cm, the perimeter of the sector is
(i)
60.93 cm
(ii)
55.93 cm
(iii)
52.93 cm
(iv)
58.93 cm
(v)
50.93 cm
Question
14
14.
If the radius of a circle is 10.00 cm and the area of a sector is 67.22 sq.cm, the area of the circle is
(i)
307.29 sq.cm
(ii)
314.29 sq.cm
(iii)
330.29 sq.cm
(iv)
339.29 sq.cm
(v)
286.29 sq.cm
Question
15
15.
If the radius of a circle is 15.00 cm and the area of a sector is 180.71 sq.cm, the perimeter of the circle is
(i)
89.29 cm
(ii)
97.29 cm
(iii)
91.29 cm
(iv)
94.29 cm
(v)
99.29 cm
Question
16
16.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 51.03 cm, the angle subtended at the center by the arc of the sector is
(i)
129.00°
(ii)
102.00°
(iii)
131.00°
(iv)
154.00°
(v)
115.00°
Question
17
17.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 69.81 cm, the length of the arc of the sector is
(i)
39.81 cm
(ii)
44.81 cm
(iii)
34.81 cm
(iv)
36.81 cm
(v)
42.81 cm
Question
18
18.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 28.38 cm, the area of the sector is
(i)
36.91 sq.cm
(ii)
38.91 sq.cm
(iii)
41.91 sq.cm
(iv)
44.91 sq.cm
(v)
46.91 sq.cm
Question
19
19.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 46.00 cm, the area of the circle is
(i)
452.57 sq.cm
(ii)
474.57 sq.cm
(iii)
448.57 sq.cm
(iv)
424.57 sq.cm
(v)
469.57 sq.cm
Question
20
20.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 40.05 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 290.71 sq.cm and the angle subtended at the center by the arc of the sector is 148.00°, the radius of the circle is
(i)
15.00 cm
(ii)
18.00 cm
(iii)
20.00 cm
(iv)
10.00 cm
(v)
12.00 cm
Question
22
22.
If the area of a sector of a circle is 59.37 sq.cm and the angle subtended at the center by the arc of the sector is 68.00°, the length of the arc of the sector is
(i)
11.87 cm
(ii)
6.87 cm
(iii)
8.87 cm
(iv)
16.87 cm
(v)
14.87 cm
Question
23
23.
If the area of a sector of a circle is 239.01 sq.cm and the angle subtended at the center by the arc of the sector is 162.00°, the perimeter of the sector is
(i)
65.77 cm
(ii)
67.77 cm
(iii)
62.77 cm
(iv)
57.77 cm
(v)
59.77 cm
Question
24
24.
If the area of a sector of a circle is 191.80 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)
518.14 sq.cm
(ii)
537.14 sq.cm
(iii)
513.14 sq.cm
(iv)
543.14 sq.cm
(v)
531.14 sq.cm
Question
25
25.
If the area of a sector of a circle is 154.92 sq.cm and the angle subtended at the center by the arc of the sector is 105.00°, the perimeter of the circle is
(i)
81.71 cm
(ii)
86.71 cm
(iii)
84.71 cm
(iv)
78.71 cm
(v)
76.71 cm
Question
26
26.
If the area of a sector of a circle is 114.09 sq.cm and the length of the arc of the sector is 20.74 cm, the radius of the circle is
(i)
14.00 cm
(ii)
6.00 cm
(iii)
8.00 cm
(iv)
11.00 cm
(v)
16.00 cm
Question
27
27.
If the area of a sector of a circle is 86.43 sq.cm and the length of the arc of the sector is 17.29 cm, the angle subtended at the center by the arc of the sector is
(i)
102.00°
(ii)
104.00°
(iii)
94.00°
(iv)
99.00°
(v)
96.00°
Question
28
28.
If the area of a sector of a circle is 75.95 sq.cm and the length of the arc of the sector is 15.19 cm, the perimeter of the sector is
(i)
32.19 cm
(ii)
38.19 cm
(iii)
30.19 cm
(iv)
40.19 cm
(v)
35.19 cm
Question
29
29.
If the area of a sector of a circle is 205.08 sq.cm and the length of the arc of the sector is 31.55 cm, the area of the circle is
(i)
531.14 sq.cm
(ii)
545.14 sq.cm
(iii)
537.14 sq.cm
(iv)
509.14 sq.cm
(v)
529.14 sq.cm
Question
30
30.
If the area of a sector of a circle is 318.21 sq.cm and the length of the arc of the sector is 42.43 cm, the perimeter of the circle is
(i)
94.29 cm
(ii)
91.29 cm
(iii)
89.29 cm
(iv)
97.29 cm
(v)
99.29 cm
Question
31
31.
If the area of a sector of a circle is 187.37 sq.cm and the area of the circle is 531.14 sq.cm, the radius of the circle is
(i)
18.00 cm
(ii)
10.00 cm
(iii)
16.00 cm
(iv)
8.00 cm
(v)
13.00 cm
Question
32
32.
If the area of a sector of a circle is 90.69 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)
48.00°
(ii)
53.00°
(iii)
50.00°
(iv)
56.00°
(v)
58.00°
Question
33
33.
If the area of a sector of a circle is 86.74 sq.cm and the area of the circle is 452.57 sq.cm, the length of the arc of the sector is
(i)
14.46 cm
(ii)
19.46 cm
(iii)
9.46 cm
(iv)
11.46 cm
(v)
17.46 cm
Question
34
34.
If the area of a sector of a circle is 38.41 sq.cm and the area of the circle is 314.29 sq.cm, the perimeter of the sector is
(i)
30.68 cm
(ii)
27.68 cm
(iii)
32.68 cm
(iv)
22.68 cm
(v)
24.68 cm
Question
35
35.
If the area of a sector of a circle is 103.89 sq.cm and the area of the circle is 314.29 sq.cm, the perimeter of the circle is
(i)
57.86 cm
(ii)
65.86 cm
(iii)
59.86 cm
(iv)
67.86 cm
(v)
62.86 cm
Question
36
36.
If the length of the arc of a sector is 17.46 cm and the angle subtended at the center by the arc of the sector is 100.00°, the radius of the circle is
(i)
5.00 cm
(ii)
10.00 cm
(iii)
15.00 cm
(iv)
7.00 cm
(v)
13.00 cm
Question
37
37.
If the length of the arc of a sector is 22.52 cm and the angle subtended at the center by the arc of the sector is 86.00°, the area of the sector is
(i)
151.93 sq.cm
(ii)
168.93 sq.cm
(iii)
193.93 sq.cm
(iv)
170.93 sq.cm
Question
38
38.
If the length of the arc of a sector is 19.38 cm and the angle subtended at the center by the arc of the sector is 111.00°, the perimeter of the sector is
(i)
44.38 cm
(ii)
36.38 cm
(iii)
42.38 cm
(iv)
34.38 cm
(v)
39.38 cm
Question
39
39.
If the length of the arc of a sector is 24.51 cm and the angle subtended at the center by the arc of the sector is 108.00°, 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
40
40.
If the length of the arc of a sector is 29.73 cm and the area of the circle is 531.14 sq.cm, the radius of the circle is
(i)
13.00 cm
(ii)
10.00 cm
(iii)
8.00 cm
(iv)
18.00 cm
(v)
16.00 cm
Question
41
41.
If the length of the arc of a sector is 27.92 cm and the area of the circle is 531.14 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
109.00°
(ii)
123.00°
(iii)
128.00°
(iv)
110.00°
(v)
151.00°
Question
42
42.
If the length of the arc of a sector is 23.05 cm and the area of the circle is 380.29 sq.cm, the area of the sector is
(i)
138.76 sq.cm
(ii)
126.76 sq.cm
(iii)
151.76 sq.cm
(iv)
123.76 sq.cm
(v)
98.76 sq.cm
Question
43
43.
If the length of the arc of a sector is 10.76 cm and the area of the circle is 616.00 sq.cm, the perimeter of the sector is
(i)
35.76 cm
(ii)
33.76 cm
(iii)
41.76 cm
(iv)
38.76 cm
(v)
43.76 cm
Question
44
44.
If the length of the arc of a sector is 6.81 cm and the area of the circle is 531.14 sq.cm, the perimeter of the circle is
(i)
86.71 cm
(ii)
81.71 cm
(iii)
76.71 cm
(iv)
78.71 cm
(v)
84.71 cm
Question
45
45.
If the length of the arc of a sector is 31.69 cm and the perimeter of the circle is 94.29 cm, the radius of the circle is
(i)
12.00 cm
(ii)
10.00 cm
(iii)
18.00 cm
(iv)
20.00 cm
(v)
15.00 cm
Question
46
46.
If the length of the arc of a sector is 17.39 cm and the perimeter of the circle is 75.43 cm, the angle subtended at the center by the arc of the sector is
(i)
88.00°
(ii)
83.00°
(iii)
86.00°
(iv)
80.00°
(v)
78.00°
Question
47
47.
If the length of the arc of a sector is 18.86 cm and the perimeter of the circle is 94.29 cm, the area of the sector is
(i)
124.43 sq.cm
(ii)
159.43 sq.cm
(iii)
156.43 sq.cm
(iv)
138.43 sq.cm
(v)
141.43 sq.cm
Question
48
48.
If the length of the arc of a sector is 25.56 cm and the perimeter of the circle is 75.43 cm, the perimeter of the sector is
(i)
46.56 cm
(ii)
44.56 cm
(iii)
49.56 cm
(iv)
54.56 cm
(v)
52.56 cm
Question
49
49.
If the length of the arc of a sector is 12.68 cm and the perimeter of the circle is 69.14 cm, the area of the circle is
(i)
398.29 sq.cm
(ii)
393.29 sq.cm
(iii)
368.29 sq.cm
(iv)
354.29 sq.cm
(v)
380.29 sq.cm
Assignment Key
1) (v)
2) (iii)
3) (iv)
4) (iv)
5) (ii)
6) (iv)
7) (v)
8) (v)
9) (v)
10) (iii)
11) (i)
12) (iii)
13) (ii)
14) (ii)
15) (iv)
16) (i)
17) (i)
18) (iii)
19) (i)
20) (i)
21) (i)
22) (i)
23) (iii)
24) (v)
25) (i)
26) (iv)
27) (iv)
28) (v)
29) (i)
30) (i)
31) (v)
32) (ii)
33) (i)
34) (ii)
35) (v)
36) (ii)
37) (ii)
38) (v)
39) (i)
40) (i)
41) (ii)
42) (ii)
43) (iv)
44) (ii)
45) (v)
46) (ii)
47) (v)
48) (iii)
49) (v)
