EduSahara™ Assignment
Name : Areas of Sectors
Chapter : Circumference and Area of a Circle
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
If the radius of a circle is 10.00 cm and the angle subtended at the center by the arc of a sector is 61.00°, the length of the arc of the sector is
(i)
5.65 cm
(ii)
13.65 cm
(iii)
15.65 cm
(iv)
7.65 cm
(v)
10.65 cm
Question
2
2.
If the radius of a circle is 10.00 cm and the angle subtended at the center by the arc of a sector is 156.00°, the area of the sector is
(i)
141.19 sq.cm
(ii)
132.19 sq.cm
(iii)
123.19 sq.cm
(iv)
136.19 sq.cm
(v)
158.19 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 63.00°, the perimeter of the sector is
(i)
34.10 cm
(ii)
39.10 cm
(iii)
31.10 cm
(iv)
37.10 cm
(v)
29.10 cm
Question
4
4.
If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 114.00°, the area of the circle is
(i)
367.29 sq.cm
(ii)
366.29 sq.cm
(iii)
405.29 sq.cm
(iv)
397.29 sq.cm
(v)
380.29 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 88.00°, the perimeter of the circle is
(i)
76.71 cm
(ii)
86.71 cm
(iii)
78.71 cm
(iv)
84.71 cm
(v)
81.71 cm
Question
6
6.
If the radius of a circle is 15.00 cm and the length of the arc of a sector is 12.05 cm, the angle subtended at the center by the arc of the sector is
(i)
43.00°
(ii)
46.00°
(iii)
41.00°
(iv)
49.00°
(v)
51.00°
Question
7
7.
If the radius of a circle is 14.00 cm and the length of the arc of a sector is 17.11 cm, the area of the sector is
(i)
125.78 sq.cm
(ii)
111.78 sq.cm
(iii)
131.78 sq.cm
(iv)
92.78 sq.cm
(v)
119.78 sq.cm
Question
8
8.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 10.95 cm, the perimeter of the sector is
(i)
27.95 cm
(ii)
32.95 cm
(iii)
35.95 cm
(iv)
29.95 cm
(v)
37.95 cm
Question
9
9.
If the radius of a circle is 15.00 cm and the length of the arc of a sector is 20.43 cm, the area of the circle is
(i)
719.14 sq.cm
(ii)
707.14 sq.cm
(iii)
691.14 sq.cm
(iv)
683.14 sq.cm
(v)
722.14 sq.cm
Question
10
10.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 6.81 cm, the perimeter of the circle is
(i)
78.71 cm
(ii)
86.71 cm
(iii)
81.71 cm
(iv)
84.71 cm
(v)
76.71 cm
Question
11
11.
If the radius of a circle is 13.00 cm and the area of a sector is 63.44 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
40.00°
(ii)
38.00°
(iii)
48.00°
(iv)
43.00°
(v)
46.00°
Question
12
12.
If the radius of a circle is 11.00 cm and the area of a sector is 132.05 sq.cm, the length of the arc of the sector is
(i)
27.01 cm
(ii)
21.01 cm
(iii)
19.01 cm
(iv)
29.01 cm
(v)
24.01 cm
Question
13
13.
If the radius of a circle is 13.00 cm and the area of a sector is 146.06 sq.cm, the perimeter of the sector is
(i)
43.47 cm
(ii)
51.47 cm
(iii)
53.47 cm
(iv)
45.47 cm
(v)
48.47 cm
Question
14
14.
If the radius of a circle is 11.00 cm and the area of a sector is 41.20 sq.cm, the area of the circle is
(i)
380.29 sq.cm
(ii)
368.29 sq.cm
(iii)
397.29 sq.cm
(iv)
366.29 sq.cm
(v)
384.29 sq.cm
Question
15
15.
If the radius of a circle is 13.00 cm and the area of a sector is 123.93 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
16
16.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 44.10 cm, the angle subtended at the center by the arc of the sector is
(i)
138.00°
(ii)
112.00°
(iii)
123.00°
(iv)
155.00°
(v)
144.00°
Question
17
17.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 37.17 cm, the length of the arc of the sector is
(i)
15.17 cm
(ii)
20.17 cm
(iii)
18.17 cm
(iv)
12.17 cm
(v)
10.17 cm
Question
18
18.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 38.02 cm, the area of the sector is
(i)
75.16 sq.cm
(ii)
70.16 sq.cm
(iii)
65.16 sq.cm
(iv)
73.16 sq.cm
(v)
67.16 sq.cm
Question
19
19.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 41.48 cm, the area of the circle is
(i)
288.29 sq.cm
(ii)
342.29 sq.cm
(iii)
314.29 sq.cm
(iv)
321.29 sq.cm
(v)
299.29 sq.cm
Question
20
20.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 53.69 cm, the perimeter of the circle is
(i)
86.71 cm
(ii)
78.71 cm
(iii)
84.71 cm
(iv)
81.71 cm
(v)
76.71 cm
Question
21
21.
If the area of a sector of a circle is 115.14 sq.cm and the angle subtended at the center by the arc of the sector is 109.00°, the radius of the circle is
(i)
11.00 cm
(ii)
8.00 cm
(iii)
6.00 cm
(iv)
16.00 cm
(v)
14.00 cm
Question
22
22.
If the area of a sector of a circle is 27.94 sq.cm and the angle subtended at the center by the arc of the sector is 32.00°, the length of the arc of the sector is
(i)
4.59 cm
(ii)
5.59 cm
(iii)
6.59 cm
(iv)
7.59 cm
(v)
3.59 cm
Question
23
23.
If the area of a sector of a circle is 144.57 sq.cm and the angle subtended at the center by the arc of the sector is 115.00°, the perimeter of the sector is
(i)
48.10 cm
(ii)
43.10 cm
(iii)
53.10 cm
(iv)
45.10 cm
(v)
51.10 cm
Question
24
24.
If the area of a sector of a circle is 136.19 sq.cm and the angle subtended at the center by the arc of the sector is 156.00°, the area of the circle is
(i)
326.29 sq.cm
(ii)
322.29 sq.cm
(iii)
308.29 sq.cm
(iv)
301.29 sq.cm
(v)
314.29 sq.cm
Question
25
25.
If the area of a sector of a circle is 100.33 sq.cm and the angle subtended at the center by the arc of the sector is 68.00°, the perimeter of the circle is
(i)
78.71 cm
(ii)
86.71 cm
(iii)
84.71 cm
(iv)
76.71 cm
(v)
81.71 cm
Question
26
26.
If the area of a sector of a circle is 212.46 sq.cm and the length of the arc of the sector is 35.41 cm, the radius of the circle is
(i)
9.00 cm
(ii)
17.00 cm
(iii)
15.00 cm
(iv)
7.00 cm
(v)
12.00 cm
Question
27
27.
If the area of a sector of a circle is 44.00 sq.cm and the length of the arc of the sector is 7.33 cm, the angle subtended at the center by the arc of the sector is
(i)
38.00°
(ii)
30.00°
(iii)
40.00°
(iv)
35.00°
(v)
32.00°
Question
28
28.
If the area of a sector of a circle is 191.64 sq.cm and the length of the arc of the sector is 27.38 cm, the perimeter of the sector is
(i)
58.38 cm
(ii)
55.38 cm
(iii)
50.38 cm
(iv)
52.38 cm
(v)
60.38 cm
Question
29
29.
If the area of a sector of a circle is 118.31 sq.cm and the length of the arc of the sector is 21.51 cm, the area of the circle is
(i)
393.29 sq.cm
(ii)
380.29 sq.cm
(iii)
373.29 sq.cm
(iv)
362.29 sq.cm
(v)
396.29 sq.cm
Question
30
30.
If the area of a sector of a circle is 110.87 sq.cm and the length of the arc of the sector is 22.18 cm, the perimeter of the circle is
(i)
62.86 cm
(ii)
65.86 cm
(iii)
67.86 cm
(iv)
57.86 cm
(v)
59.86 cm
Question
31
31.
If the area of a sector of a circle is 202.13 sq.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)
18.00 cm
(iv)
16.00 cm
(v)
13.00 cm
Question
32
32.
If the area of a sector of a circle is 224.16 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)
137.00°
(ii)
106.00°
(iii)
118.00°
(iv)
153.00°
(v)
131.00°
Question
33
33.
If the area of a sector of a circle is 174.53 sq.cm and the area of the circle is 616.00 sq.cm, the length of the arc of the sector is
(i)
27.93 cm
(ii)
24.93 cm
(iii)
29.93 cm
(iv)
19.93 cm
(v)
21.93 cm
Question
34
34.
If the area of a sector of a circle is 154.92 sq.cm and the area of the circle is 531.14 sq.cm, the perimeter of the sector is
(i)
54.83 cm
(ii)
46.83 cm
(iii)
52.83 cm
(iv)
49.83 cm
(v)
44.83 cm
Question
35
35.
If the area of a sector of a circle is 67.89 sq.cm and the area of the circle is 452.57 sq.cm, the perimeter of the circle is
(i)
70.43 cm
(ii)
72.43 cm
(iii)
75.43 cm
(iv)
80.43 cm
(v)
78.43 cm
Question
36
36.
If the length of the arc of a sector is 36.54 cm and the angle subtended at the center by the arc of the sector is 161.00°, the radius of the circle is
(i)
18.00 cm
(ii)
10.00 cm
(iii)
8.00 cm
(iv)
16.00 cm
(v)
13.00 cm
Question
37
37.
If the length of the arc of a sector is 25.98 cm and the angle subtended at the center by the arc of the sector is 124.00°, the area of the sector is
(i)
162.89 sq.cm
(ii)
133.89 sq.cm
(iii)
155.89 sq.cm
(iv)
170.89 sq.cm
(v)
152.89 sq.cm
Question
38
38.
If the length of the arc of a sector is 11.35 cm and the angle subtended at the center by the arc of the sector is 50.00°, the perimeter of the sector is
(i)
32.35 cm
(ii)
40.35 cm
(iii)
42.35 cm
(iv)
34.35 cm
(v)
37.35 cm
Question
39
39.
If the length of the arc of a sector is 12.71 cm and the angle subtended at the center by the arc of the sector is 52.00°, the area of the circle is
(i)
629.00 sq.cm
(ii)
616.00 sq.cm
(iii)
628.00 sq.cm
(iv)
608.00 sq.cm
(v)
589.00 sq.cm
Question
40
40.
If the length of the arc of a sector is 27.66 cm and the angle subtended at the center by the arc of the sector is 132.00°, the perimeter of the circle is
(i)
72.43 cm
(ii)
80.43 cm
(iii)
70.43 cm
(iv)
75.43 cm
(v)
78.43 cm
Question
41
41.
If the length of the arc of a sector is 42.95 cm and the area of the circle is 707.14 sq.cm, the radius of the circle is
(i)
20.00 cm
(ii)
15.00 cm
(iii)
10.00 cm
(iv)
18.00 cm
(v)
12.00 cm
Question
42
42.
If the length of the arc of a sector is 26.10 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)
110.00°
(ii)
92.00°
(iii)
131.00°
(iv)
115.00°
(v)
133.00°
Question
43
43.
If the length of the arc of a sector is 34.71 cm and the area of the circle is 616.00 sq.cm, the area of the sector is
(i)
235.98 sq.cm
(ii)
227.98 sq.cm
(iii)
242.98 sq.cm
(iv)
264.98 sq.cm
(v)
256.98 sq.cm
Question
44
44.
If the length of the arc of a sector is 29.33 cm and the area of the circle is 616.00 sq.cm, the perimeter of the sector is
(i)
54.33 cm
(ii)
57.33 cm
(iii)
60.33 cm
(iv)
62.33 cm
(v)
52.33 cm
Question
45
45.
If the length of the arc of a sector is 17.70 cm and the area of the circle is 531.14 sq.cm, the perimeter of the circle is
(i)
76.71 cm
(ii)
78.71 cm
(iii)
81.71 cm
(iv)
86.71 cm
(v)
84.71 cm
Question
46
46.
If the length of the arc of a sector is 18.68 cm and the perimeter of the circle is 62.86 cm, the radius of the circle is
(i)
15.00 cm
(ii)
10.00 cm
(iii)
5.00 cm
(iv)
7.00 cm
(v)
13.00 cm
Question
47
47.
If the length of the arc of a sector is 20.25 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)
98.00°
(ii)
119.00°
(iii)
103.00°
(iv)
130.00°
(v)
116.00°
Question
48
48.
If the length of the arc of a sector is 20.95 cm and the perimeter of the circle is 75.43 cm, the area of the sector is
(i)
138.71 sq.cm
(ii)
125.71 sq.cm
(iii)
149.71 sq.cm
(iv)
103.71 sq.cm
(v)
122.71 sq.cm
Question
49
49.
If the length of the arc of a sector is 31.88 cm and the perimeter of the circle is 69.14 cm, the perimeter of the sector is
(i)
58.88 cm
(ii)
56.88 cm
(iii)
48.88 cm
(iv)
50.88 cm
(v)
53.88 cm
Question
50
50.
If the length of the arc of a sector is 36.09 cm and the perimeter of the circle is 81.71 cm, the area of the circle is
(i)
555.14 sq.cm
(ii)
533.14 sq.cm
(iii)
504.14 sq.cm
(iv)
531.14 sq.cm
(v)
527.14 sq.cm
Assignment Key
1) (v)
2) (iv)
3) (i)
4) (v)
5) (v)
6) (ii)
7) (v)
8) (ii)
9) (ii)
10) (iii)
11) (iv)
12) (v)
13) (v)
14) (i)
15) (ii)
16) (i)
17) (i)
18) (ii)
19) (iii)
20) (iv)
21) (i)
22) (ii)
23) (i)
24) (v)
25) (v)
26) (v)
27) (iv)
28) (ii)
29) (ii)
30) (i)
31) (v)
32) (v)
33) (ii)
34) (iv)
35) (iii)
36) (v)
37) (iii)
38) (v)
39) (ii)
40) (iv)
41) (ii)
42) (iv)
43) (iii)
44) (ii)
45) (iii)
46) (ii)
47) (v)
48) (ii)
49) (v)
50) (iv)
