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 11.00 cm and the angle subtended at the center by the arc of a sector is 156.00°, the length of the arc of the sector is
(i)
34.96 cm
(ii)
24.96 cm
(iii)
29.96 cm
(iv)
26.96 cm
(v)
32.96 cm
Question
2
2.
If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 135.00°, the area of the sector is
(i)
156.71 sq.cm
(ii)
187.71 sq.cm
(iii)
145.71 sq.cm
(iv)
174.71 sq.cm
(v)
169.71 sq.cm
Question
3
3.
If the radius of a circle is 13.00 cm and the angle subtended at the center by the arc of a sector is 131.00°, the perimeter of the sector is
(i)
60.73 cm
(ii)
52.73 cm
(iii)
58.73 cm
(iv)
55.73 cm
(v)
50.73 cm
Question
4
4.
If the radius of a circle is 15.00 cm and the angle subtended at the center by the arc of a sector is 69.00°, the area of the circle is
(i)
720.14 sq.cm
(ii)
693.14 sq.cm
(iii)
707.14 sq.cm
(iv)
729.14 sq.cm
(v)
692.14 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 61.00°, the perimeter of the circle is
(i)
91.29 cm
(ii)
99.29 cm
(iii)
89.29 cm
(iv)
97.29 cm
(v)
94.29 cm
Question
6
6.
If the radius of a circle is 15.00 cm and the length of the arc of a sector is 13.88 cm, the angle subtended at the center by the arc of the sector is
(i)
53.00°
(ii)
56.00°
(iii)
58.00°
(iv)
50.00°
(v)
48.00°
Question
7
7.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 33.36 cm, the area of the sector is
(i)
208.88 sq.cm
(ii)
242.88 sq.cm
(iii)
216.88 sq.cm
(iv)
223.88 sq.cm
(v)
189.88 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 25.41 cm, the perimeter of the sector is
(i)
55.41 cm
(ii)
60.41 cm
(iii)
58.41 cm
(iv)
52.41 cm
(v)
50.41 cm
Question
9
9.
If the radius of a circle is 15.00 cm and the length of the arc of a sector is 17.29 cm, the area of the circle is
(i)
719.14 sq.cm
(ii)
724.14 sq.cm
(iii)
681.14 sq.cm
(iv)
707.14 sq.cm
(v)
702.14 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 39.81 cm, the perimeter of the circle is
(i)
99.29 cm
(ii)
94.29 cm
(iii)
89.29 cm
(iv)
91.29 cm
(v)
97.29 cm
Question
11
11.
If the radius of a circle is 15.00 cm and the area of a sector is 192.50 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
93.00°
(ii)
98.00°
(iii)
95.00°
(iv)
103.00°
(v)
101.00°
Question
12
12.
If the radius of a circle is 14.00 cm and the area of a sector is 237.84 sq.cm, the length of the arc of the sector is
(i)
33.98 cm
(ii)
38.98 cm
(iii)
36.98 cm
(iv)
28.98 cm
(v)
30.98 cm
Question
13
13.
If the radius of a circle is 11.00 cm and the area of a sector is 122.54 sq.cm, the perimeter of the sector is
(i)
41.28 cm
(ii)
47.28 cm
(iii)
44.28 cm
(iv)
49.28 cm
(v)
39.28 cm
Question
14
14.
If the radius of a circle is 12.00 cm and the area of a sector is 67.89 sq.cm, the area of the circle is
(i)
452.57 sq.cm
(ii)
468.57 sq.cm
(iii)
434.57 sq.cm
(iv)
437.57 sq.cm
Question
15
15.
If the radius of a circle is 15.00 cm and the area of a sector is 106.07 sq.cm, the perimeter of the circle is
(i)
89.29 cm
(ii)
94.29 cm
(iii)
97.29 cm
(iv)
99.29 cm
(v)
91.29 cm
Question
16
16.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 46.65 cm, the angle subtended at the center by the arc of the sector is
(i)
91.00°
(ii)
96.00°
(iii)
88.00°
(iv)
94.00°
(v)
86.00°
Question
17
17.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 50.17 cm, the length of the arc of the sector is
(i)
15.17 cm
(ii)
23.17 cm
(iii)
20.17 cm
(iv)
25.17 cm
(v)
17.17 cm
Question
18
18.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 47.80 cm, the area of the sector is
(i)
138.60 sq.cm
(ii)
121.60 sq.cm
(iii)
163.60 sq.cm
(iv)
136.60 sq.cm
(v)
152.60 sq.cm
Question
19
19.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 34.32 cm, the area of the circle is
(i)
309.29 sq.cm
(ii)
318.29 sq.cm
(iii)
287.29 sq.cm
(iv)
314.29 sq.cm
(v)
342.29 sq.cm
Question
20
20.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 48.31 cm, the perimeter of the circle is
(i)
75.43 cm
(ii)
78.43 cm
(iii)
80.43 cm
(iv)
72.43 cm
(v)
70.43 cm
Question
21
21.
If the area of a sector of a circle is 63.73 sq.cm and the angle subtended at the center by the arc of the sector is 73.00°, the radius of the circle is
(i)
13.00 cm
(ii)
7.00 cm
(iii)
5.00 cm
(iv)
15.00 cm
(v)
10.00 cm
Question
22
22.
If the area of a sector of a circle is 114.64 sq.cm and the angle subtended at the center by the arc of the sector is 67.00°, the length of the arc of the sector is
(i)
21.38 cm
(ii)
16.38 cm
(iii)
13.38 cm
(iv)
19.38 cm
(v)
11.38 cm
Question
23
23.
If the area of a sector of a circle is 109.37 sq.cm and the angle subtended at the center by the arc of the sector is 87.00°, the perimeter of the sector is
(i)
37.23 cm
(ii)
47.23 cm
(iii)
42.23 cm
(iv)
39.23 cm
(v)
45.23 cm
Question
24
24.
If the area of a sector of a circle is 145.44 sq.cm and the angle subtended at the center by the arc of the sector is 85.00°, the area of the circle is
(i)
616.00 sq.cm
(ii)
634.00 sq.cm
(iii)
609.00 sq.cm
(iv)
592.00 sq.cm
(v)
621.00 sq.cm
Question
25
25.
If the area of a sector of a circle is 113.93 sq.cm and the angle subtended at the center by the arc of the sector is 58.00°, the perimeter of the circle is
(i)
94.29 cm
(ii)
89.29 cm
(iii)
99.29 cm
(iv)
91.29 cm
(v)
97.29 cm
Question
26
26.
If the area of a sector of a circle is 134.26 sq.cm and the length of the arc of the sector is 20.65 cm, the radius of the circle is
(i)
18.00 cm
(ii)
10.00 cm
(iii)
16.00 cm
(iv)
13.00 cm
(v)
8.00 cm
Question
27
27.
If the area of a sector of a circle is 217.31 sq.cm and the length of the arc of the sector is 31.04 cm, the angle subtended at the center by the arc of the sector is
(i)
129.00°
(ii)
151.00°
(iii)
102.00°
(iv)
127.00°
(v)
114.00°
Question
28
28.
If the area of a sector of a circle is 132.78 sq.cm and the length of the arc of the sector is 20.43 cm, the perimeter of the sector is
(i)
49.43 cm
(ii)
51.43 cm
(iii)
41.43 cm
(iv)
43.43 cm
(v)
46.43 cm
Question
29
29.
If the area of a sector of a circle is 84.68 sq.cm and the length of the arc of the sector is 16.94 cm, the area of the circle is
(i)
299.29 sq.cm
(ii)
326.29 sq.cm
(iii)
327.29 sq.cm
(iv)
297.29 sq.cm
(v)
314.29 sq.cm
Question
30
30.
If the area of a sector of a circle is 178.51 sq.cm and the length of the arc of the sector is 29.75 cm, the perimeter of the circle is
(i)
75.43 cm
(ii)
70.43 cm
(iii)
72.43 cm
(iv)
78.43 cm
(v)
80.43 cm
Question
31
31.
If the area of a sector of a circle is 72.29 sq.cm and the area of the circle is 531.14 sq.cm, the radius of the circle is
(i)
18.00 cm
(ii)
16.00 cm
(iii)
10.00 cm
(iv)
8.00 cm
(v)
13.00 cm
Question
32
32.
If the area of a sector of a circle is 123.20 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)
101.00°
(ii)
98.00°
(iii)
103.00°
(iv)
95.00°
(v)
93.00°
Question
33
33.
If the area of a sector of a circle is 123.20 sq.cm and the area of the circle is 452.57 sq.cm, the length of the arc of the sector is
(i)
20.53 cm
(ii)
23.53 cm
(iii)
15.53 cm
(iv)
25.53 cm
(v)
17.53 cm
Question
34
34.
If the area of a sector of a circle is 141.43 sq.cm and the area of the circle is 314.29 sq.cm, the perimeter of the sector is
(i)
51.29 cm
(ii)
53.29 cm
(iii)
48.29 cm
(iv)
43.29 cm
(v)
45.29 cm
Question
35
35.
If the area of a sector of a circle is 127.82 sq.cm and the area of the circle is 380.29 sq.cm, the perimeter of the circle is
(i)
66.14 cm
(ii)
74.14 cm
(iii)
69.14 cm
(iv)
64.14 cm
(v)
72.14 cm
Question
36
36.
If the length of the arc of a sector is 26.89 cm and the angle subtended at the center by the arc of the sector is 140.00°, the radius of the circle is
(i)
14.00 cm
(ii)
8.00 cm
(iii)
16.00 cm
(iv)
6.00 cm
(v)
11.00 cm
Question
37
37.
If the length of the arc of a sector is 32.51 cm and the angle subtended at the center by the arc of the sector is 133.00°, the area of the sector is
(i)
227.58 sq.cm
(ii)
224.58 sq.cm
(iii)
249.58 sq.cm
(iv)
240.58 sq.cm
(v)
212.58 sq.cm
Question
38
38.
If the length of the arc of a sector is 31.78 cm and the angle subtended at the center by the arc of the sector is 140.00°, the perimeter of the sector is
(i)
60.78 cm
(ii)
52.78 cm
(iii)
57.78 cm
(iv)
62.78 cm
(v)
54.78 cm
Question
39
39.
If the length of the arc of a sector is 35.93 cm and the angle subtended at the center by the arc of the sector is 147.00°, the perimeter of the circle is
(i)
85.00 cm
(ii)
91.00 cm
(iii)
83.00 cm
(iv)
93.00 cm
(v)
88.00 cm
Question
40
40.
If the length of the arc of a sector is 21.16 cm and the area of the circle is 452.57 sq.cm, the radius of the circle is
(i)
12.00 cm
(ii)
7.00 cm
(iii)
17.00 cm
(iv)
15.00 cm
(v)
9.00 cm
Question
41
41.
If the length of the arc of a sector is 31.17 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)
107.00°
(ii)
119.00°
(iii)
142.00°
(iv)
91.00°
(v)
134.00°
Question
42
42.
If the length of the arc of a sector is 5.41 cm and the area of the circle is 314.29 sq.cm, the area of the sector is
(i)
24.06 sq.cm
(ii)
27.06 sq.cm
(iii)
22.06 sq.cm
(iv)
30.06 sq.cm
(v)
32.06 sq.cm
Question
43
43.
If the length of the arc of a sector is 34.95 cm and the area of the circle is 531.14 sq.cm, the perimeter of the sector is
(i)
57.95 cm
(ii)
60.95 cm
(iii)
65.95 cm
(iv)
63.95 cm
(v)
55.95 cm
Question
44
44.
If the length of the arc of a sector is 29.38 cm and the area of the circle is 380.29 sq.cm, the perimeter of the circle is
(i)
69.14 cm
(ii)
74.14 cm
(iii)
64.14 cm
(iv)
72.14 cm
(v)
66.14 cm
Question
45
45.
If the length of the arc of a sector is 27.69 cm and the perimeter of the circle is 81.71 cm, 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
46
46.
If the length of the arc of a sector is 21.13 cm and the perimeter of the circle is 62.86 cm, the angle subtended at the center by the arc of the sector is
(i)
117.00°
(ii)
145.00°
(iii)
121.00°
(iv)
103.00°
(v)
128.00°
Question
47
47.
If the length of the arc of a sector is 32.27 cm and the perimeter of the circle is 75.43 cm, the area of the sector is
(i)
171.60 sq.cm
(ii)
197.60 sq.cm
(iii)
193.60 sq.cm
(iv)
206.60 sq.cm
(v)
187.60 sq.cm
Question
48
48.
If the length of the arc of a sector is 23.68 cm and the perimeter of the circle is 75.43 cm, the perimeter of the sector is
(i)
47.68 cm
(ii)
44.68 cm
(iii)
50.68 cm
(iv)
52.68 cm
(v)
42.68 cm
Question
49
49.
If the length of the arc of a sector is 29.28 cm and the perimeter of the circle is 81.71 cm, the area of the circle is
(i)
534.14 sq.cm
(ii)
515.14 sq.cm
(iii)
531.14 sq.cm
(iv)
507.14 sq.cm
(v)
548.14 sq.cm
Assignment Key
1) (iii)
2) (v)
3) (iv)
4) (iii)
5) (v)
6) (i)
7) (iii)
8) (i)
9) (iv)
10) (ii)
11) (ii)
12) (i)
13) (iii)
14) (i)
15) (ii)
16) (i)
17) (iii)
18) (i)
19) (iv)
20) (i)
21) (v)
22) (ii)
23) (iii)
24) (i)
25) (i)
26) (iv)
27) (iv)
28) (v)
29) (v)
30) (i)
31) (v)
32) (ii)
33) (i)
34) (iii)
35) (iii)
36) (v)
37) (i)
38) (iii)
39) (v)
40) (i)
41) (ii)
42) (ii)
43) (ii)
44) (i)
45) (iv)
46) (iii)
47) (iii)
48) (i)
49) (iii)
