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 13.00 cm and the angle subtended at the center by the arc of a sector is 152.00°, the length of the arc of the sector is
(i)
37.50 cm
(ii)
31.50 cm
(iii)
34.50 cm
(iv)
29.50 cm
(v)
39.50 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 162.00°, the area of the sector is
(i)
315.21 sq.cm
(ii)
341.21 sq.cm
(iii)
318.21 sq.cm
(iv)
294.21 sq.cm
(v)
323.21 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 33.00°, the perimeter of the sector is
(i)
33.49 cm
(ii)
36.49 cm
(iii)
28.49 cm
(iv)
30.49 cm
(v)
38.49 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 44.00°, the area of the circle is
(i)
600.00 sq.cm
(ii)
633.00 sq.cm
(iii)
616.00 sq.cm
(iv)
642.00 sq.cm
(v)
603.00 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 117.00°, the perimeter of the circle is
(i)
74.14 cm
(ii)
64.14 cm
(iii)
66.14 cm
(iv)
69.14 cm
(v)
72.14 cm
Question
6
6.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 10.65 cm, the angle subtended at the center by the arc of the sector is
(i)
56.00°
(ii)
58.00°
(iii)
64.00°
(iv)
66.00°
(v)
61.00°
Question
7
7.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 23.47 cm, the area of the sector is
(i)
140.80 sq.cm
(ii)
162.80 sq.cm
(iii)
156.80 sq.cm
(iv)
112.80 sq.cm
(v)
135.80 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 34.27 cm, the perimeter of the sector is
(i)
60.27 cm
(ii)
65.27 cm
(iii)
57.27 cm
(iv)
55.27 cm
(v)
63.27 cm
Question
9
9.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 18.68 cm, the area of the circle is
(i)
314.29 sq.cm
(ii)
331.29 sq.cm
(iii)
337.29 sq.cm
(iv)
290.29 sq.cm
(v)
302.29 sq.cm
Question
10
10.
If the radius of a circle is 14.00 cm and the length of the arc of a sector is 23.47 cm, the perimeter of the circle is
(i)
93.00 cm
(ii)
88.00 cm
(iii)
85.00 cm
(iv)
83.00 cm
(v)
91.00 cm
Question
11
11.
If the radius of a circle is 14.00 cm and the area of a sector is 248.11 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
157.00°
(ii)
145.00°
(iii)
132.00°
(iv)
117.00°
(v)
159.00°
Question
12
12.
If the radius of a circle is 11.00 cm and the area of a sector is 133.10 sq.cm, the length of the arc of the sector is
(i)
24.20 cm
(ii)
27.20 cm
(iii)
19.20 cm
(iv)
21.20 cm
(v)
29.20 cm
Question
13
13.
If the radius of a circle is 14.00 cm and the area of a sector is 136.89 sq.cm, the perimeter of the sector is
(i)
52.56 cm
(ii)
50.56 cm
(iii)
47.56 cm
(iv)
44.56 cm
(v)
42.56 cm
Question
14
14.
If the radius of a circle is 11.00 cm and the area of a sector is 135.21 sq.cm, the area of the circle is
(i)
364.29 sq.cm
(ii)
363.29 sq.cm
(iii)
385.29 sq.cm
(iv)
380.29 sq.cm
(v)
398.29 sq.cm
Question
15
15.
If the radius of a circle is 12.00 cm and the area of a sector is 89.26 sq.cm, the perimeter of the circle is
(i)
78.43 cm
(ii)
80.43 cm
(iii)
72.43 cm
(iv)
75.43 cm
(v)
70.43 cm
Question
16
16.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 36.78 cm, the angle subtended at the center by the arc of the sector is
(i)
58.00°
(ii)
61.00°
(iii)
66.00°
(iv)
56.00°
(v)
64.00°
Question
17
17.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 59.82 cm, the length of the arc of the sector is
(i)
28.82 cm
(ii)
38.82 cm
(iii)
33.82 cm
(iv)
30.82 cm
(v)
36.82 cm
Question
18
18.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 58.46 cm, the area of the sector is
(i)
192.98 sq.cm
(ii)
207.98 sq.cm
(iii)
222.98 sq.cm
(iv)
215.98 sq.cm
(v)
210.98 sq.cm
Question
19
19.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 38.76 cm, the area of the circle is
(i)
602.00 sq.cm
(ii)
621.00 sq.cm
(iii)
643.00 sq.cm
(iv)
616.00 sq.cm
Question
20
20.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 63.22 cm, the perimeter of the circle is
(i)
76.71 cm
(ii)
78.71 cm
(iii)
86.71 cm
(iv)
81.71 cm
(v)
84.71 cm
Question
21
21.
If the area of a sector of a circle is 32.30 sq.cm and the angle subtended at the center by the arc of the sector is 37.00°, 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
22
22.
If the area of a sector of a circle is 164.69 sq.cm and the angle subtended at the center by the arc of the sector is 131.00°, the length of the arc of the sector is
(i)
32.45 cm
(ii)
30.45 cm
(iii)
24.45 cm
(iv)
22.45 cm
(v)
27.45 cm
Question
23
23.
If the area of a sector of a circle is 82.62 sq.cm and the angle subtended at the center by the arc of the sector is 56.00°, the perimeter of the sector is
(i)
41.71 cm
(ii)
38.71 cm
(iii)
43.71 cm
(iv)
33.71 cm
(v)
35.71 cm
Question
24
24.
If the area of a sector of a circle is 300.53 sq.cm and the angle subtended at the center by the arc of the sector is 153.00°, the area of the circle is
(i)
690.14 sq.cm
(ii)
691.14 sq.cm
(iii)
707.14 sq.cm
(iv)
732.14 sq.cm
(v)
720.14 sq.cm
Question
25
25.
If the area of a sector of a circle is 246.39 sq.cm and the angle subtended at the center by the arc of the sector is 167.00°, the perimeter of the circle is
(i)
84.71 cm
(ii)
76.71 cm
(iii)
86.71 cm
(iv)
81.71 cm
(v)
78.71 cm
Question
26
26.
If the area of a sector of a circle is 312.32 sq.cm and the length of the arc of the sector is 41.64 cm, the radius of the circle is
(i)
20.00 cm
(ii)
12.00 cm
(iii)
18.00 cm
(iv)
10.00 cm
(v)
15.00 cm
Question
27
27.
If the area of a sector of a circle is 107.75 sq.cm and the length of the arc of the sector is 19.59 cm, the angle subtended at the center by the arc of the sector is
(i)
100.00°
(ii)
119.00°
(iii)
79.00°
(iv)
102.00°
(v)
127.00°
Question
28
28.
If the area of a sector of a circle is 275.49 sq.cm and the length of the arc of the sector is 39.36 cm, the perimeter of the sector is
(i)
62.36 cm
(ii)
70.36 cm
(iii)
67.36 cm
(iv)
72.36 cm
(v)
64.36 cm
Question
29
29.
If the area of a sector of a circle is 213.89 sq.cm and the length of the arc of the sector is 30.56 cm, the area of the circle is
(i)
638.00 sq.cm
(ii)
616.00 sq.cm
(iii)
614.00 sq.cm
(iv)
619.00 sq.cm
(v)
600.00 sq.cm
Question
30
30.
If the area of a sector of a circle is 153.37 sq.cm and the length of the arc of the sector is 25.56 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
31
31.
If the area of a sector of a circle is 124.65 sq.cm and the area of the circle is 380.29 sq.cm, the radius of the circle is
(i)
14.00 cm
(ii)
8.00 cm
(iii)
16.00 cm
(iv)
11.00 cm
(v)
6.00 cm
Question
32
32.
If the area of a sector of a circle is 75.24 sq.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)
48.00°
(ii)
56.00°
(iii)
46.00°
(iv)
51.00°
(v)
54.00°
Question
33
33.
If the area of a sector of a circle is 102.47 sq.cm and the area of the circle is 380.29 sq.cm, the length of the arc of the sector is
(i)
15.63 cm
(ii)
18.63 cm
(iii)
13.63 cm
(iv)
21.63 cm
(v)
23.63 cm
Question
34
34.
If the area of a sector of a circle is 200.20 sq.cm and the area of the circle is 616.00 sq.cm, the perimeter of the sector is
(i)
59.60 cm
(ii)
56.60 cm
(iii)
51.60 cm
(iv)
61.60 cm
(v)
53.60 cm
Question
35
35.
If the area of a sector of a circle is 65.02 sq.cm and the area of the circle is 616.00 sq.cm, the perimeter of the circle is
(i)
83.00 cm
(ii)
85.00 cm
(iii)
93.00 cm
(iv)
88.00 cm
(v)
91.00 cm
Question
36
36.
If the length of the arc of a sector is 23.24 cm and the angle subtended at the center by the arc of the sector is 121.00°, the radius of the circle is
(i)
11.00 cm
(ii)
16.00 cm
(iii)
8.00 cm
(iv)
14.00 cm
(v)
6.00 cm
Question
37
37.
If the length of the arc of a sector is 35.86 cm and the angle subtended at the center by the arc of the sector is 158.00°, the area of the sector is
(i)
233.11 sq.cm
(ii)
227.11 sq.cm
(iii)
250.11 sq.cm
(iv)
258.11 sq.cm
(v)
216.11 sq.cm
Question
38
38.
If the length of the arc of a sector is 10.83 cm and the angle subtended at the center by the arc of the sector is 62.00°, the perimeter of the sector is
(i)
27.83 cm
(ii)
35.83 cm
(iii)
30.83 cm
(iv)
25.83 cm
(v)
33.83 cm
Question
39
39.
If the length of the arc of a sector is 41.64 cm and the angle subtended at the center by the arc of the sector is 159.00°, the area of the circle is
(i)
693.14 sq.cm
(ii)
700.14 sq.cm
(iii)
707.14 sq.cm
(iv)
719.14 sq.cm
(v)
732.14 sq.cm
Question
40
40.
If the length of the arc of a sector is 17.36 cm and the angle subtended at the center by the arc of the sector is 71.00°, the perimeter of the circle is
(i)
83.00 cm
(ii)
91.00 cm
(iii)
93.00 cm
(iv)
85.00 cm
(v)
88.00 cm
Question
41
41.
If the length of the arc of a sector is 11.52 cm and the area of the circle is 452.57 sq.cm, the radius of the circle is
(i)
17.00 cm
(ii)
7.00 cm
(iii)
9.00 cm
(iv)
15.00 cm
(v)
12.00 cm
Question
42
42.
If the length of the arc of a sector is 12.96 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)
53.00°
(ii)
56.00°
(iii)
50.00°
(iv)
58.00°
(v)
48.00°
Question
43
43.
If the length of the arc of a sector is 22.47 cm and the area of the circle is 380.29 sq.cm, the area of the sector is
(i)
137.59 sq.cm
(ii)
123.59 sq.cm
(iii)
107.59 sq.cm
(iv)
140.59 sq.cm
(v)
105.59 sq.cm
Question
44
44.
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 perimeter of the sector is
(i)
29.14 cm
(ii)
37.14 cm
(iii)
31.14 cm
(iv)
34.14 cm
(v)
39.14 cm
Question
45
45.
If the length of the arc of a sector is 38.24 cm and the area of the circle is 707.14 sq.cm, the perimeter of the circle is
(i)
89.29 cm
(ii)
99.29 cm
(iii)
91.29 cm
(iv)
97.29 cm
(v)
94.29 cm
Question
46
46.
If the length of the arc of a sector is 23.96 cm and the perimeter of the circle is 88.00 cm, the radius of the circle is
(i)
14.00 cm
(ii)
19.00 cm
(iii)
9.00 cm
(iv)
17.00 cm
(v)
11.00 cm
Question
47
47.
If the length of the arc of a sector is 20.78 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)
85.00°
(ii)
88.00°
(iii)
80.00°
(iv)
82.00°
(v)
90.00°
Question
48
48.
If the length of the arc of a sector is 16.13 cm and the perimeter of the circle is 75.43 cm, the area of the sector is
(i)
96.80 sq.cm
(ii)
99.80 sq.cm
(iii)
93.80 sq.cm
(iv)
91.80 sq.cm
(v)
101.80 sq.cm
Question
49
49.
If the length of the arc of a sector is 21.74 cm and the perimeter of the circle is 94.29 cm, the perimeter of the sector is
(i)
48.74 cm
(ii)
54.74 cm
(iii)
46.74 cm
(iv)
56.74 cm
(v)
51.74 cm
Question
50
50.
If the length of the arc of a sector is 20.43 cm and the perimeter of the circle is 62.86 cm, the area of the circle is
(i)
310.29 sq.cm
(ii)
291.29 sq.cm
(iii)
326.29 sq.cm
(iv)
341.29 sq.cm
(v)
314.29 sq.cm
Assignment Key
1) (iii)
2) (iii)
3) (i)
4) (iii)
5) (iv)
6) (v)
7) (i)
8) (i)
9) (i)
10) (ii)
11) (ii)
12) (i)
13) (iii)
14) (iv)
15) (iv)
16) (ii)
17) (iii)
18) (v)
19) (iv)
20) (iv)
21) (ii)
22) (v)
23) (ii)
24) (iii)
25) (iv)
26) (v)
27) (iv)
28) (iii)
29) (ii)
30) (i)
31) (iv)
32) (iv)
33) (ii)
34) (ii)
35) (iv)
36) (i)
37) (i)
38) (iii)
39) (iii)
40) (v)
41) (v)
42) (i)
43) (ii)
44) (iv)
45) (v)
46) (i)
47) (i)
48) (i)
49) (v)
50) (v)
