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 12.00 cm and the angle subtended at the center by the arc of a sector is 158.00°, the length of the arc of the sector is
(i)
28.11 cm
(ii)
33.11 cm
(iii)
30.11 cm
(iv)
38.11 cm
(v)
36.11 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 109.00°, the area of the sector is
(i)
92.16 sq.cm
(ii)
100.16 sq.cm
(iii)
90.16 sq.cm
(iv)
95.16 sq.cm
(v)
98.16 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 78.00°, the perimeter of the sector is
(i)
48.70 cm
(ii)
40.70 cm
(iii)
38.70 cm
(iv)
46.70 cm
(v)
43.70 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 67.00°, the area of the circle is
(i)
592.00 sq.cm
(ii)
632.00 sq.cm
(iii)
631.00 sq.cm
(iv)
614.00 sq.cm
(v)
616.00 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 97.00°, the perimeter of the circle is
(i)
72.14 cm
(ii)
74.14 cm
(iii)
64.14 cm
(iv)
69.14 cm
(v)
66.14 cm
Question
6
6.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 13.62 cm, the angle subtended at the center by the arc of the sector is
(i)
57.00°
(ii)
55.00°
(iii)
60.00°
(iv)
63.00°
(v)
65.00°
Question
7
7.
If the radius of a circle is 14.00 cm and the length of the arc of a sector is 27.87 cm, the area of the sector is
(i)
213.07 sq.cm
(ii)
189.07 sq.cm
(iii)
220.07 sq.cm
(iv)
169.07 sq.cm
(v)
195.07 sq.cm
Question
8
8.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 34.15 cm, the perimeter of the sector is
(i)
53.15 cm
(ii)
58.15 cm
(iii)
55.15 cm
(iv)
63.15 cm
(v)
61.15 cm
Question
9
9.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 11.52 cm, the area of the circle is
(i)
357.29 sq.cm
(ii)
380.29 sq.cm
(iii)
397.29 sq.cm
(iv)
365.29 sq.cm
(v)
406.29 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 10.69 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
11
11.
If the radius of a circle is 15.00 cm and the area of a sector is 115.89 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
54.00°
(ii)
62.00°
(iii)
56.00°
(iv)
59.00°
(v)
64.00°
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)
21.51 cm
(ii)
26.51 cm
(iii)
16.51 cm
(iv)
18.51 cm
(v)
24.51 cm
Question
13
13.
If the radius of a circle is 11.00 cm and the area of a sector is 82.40 sq.cm, the perimeter of the sector is
(i)
41.98 cm
(ii)
39.98 cm
(iii)
33.98 cm
(iv)
31.98 cm
(v)
36.98 cm
Question
14
14.
If the radius of a circle is 12.00 cm and the area of a sector is 152.11 sq.cm, the area of the circle is
(i)
439.57 sq.cm
(ii)
480.57 sq.cm
(iii)
452.57 sq.cm
(iv)
466.57 sq.cm
(v)
434.57 sq.cm
Question
15
15.
If the radius of a circle is 15.00 cm and the area of a sector is 227.86 sq.cm, the perimeter of the circle is
(i)
89.29 cm
(ii)
91.29 cm
(iii)
97.29 cm
(iv)
99.29 cm
(v)
94.29 cm
Question
16
16.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 61.86 cm, the angle subtended at the center by the arc of the sector is
(i)
158.00°
(ii)
161.00°
(iii)
133.00°
(iv)
180.00°
(v)
154.00°
Question
17
17.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 41.93 cm, the length of the arc of the sector is
(i)
18.93 cm
(ii)
10.93 cm
(iii)
13.93 cm
(iv)
8.93 cm
(v)
16.93 cm
Question
18
18.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 62.09 cm, the area of the sector is
(i)
238.59 sq.cm
(ii)
262.59 sq.cm
(iii)
219.59 sq.cm
(iv)
234.59 sq.cm
(v)
220.59 sq.cm
Question
19
19.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 36.57 cm, the area of the circle is
(i)
452.57 sq.cm
(ii)
465.57 sq.cm
(iii)
470.57 sq.cm
(iv)
446.57 sq.cm
(v)
438.57 sq.cm
Question
20
20.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 65.88 cm, the perimeter of the circle is
(i)
94.29 cm
(ii)
99.29 cm
(iii)
89.29 cm
(iv)
97.29 cm
(v)
91.29 cm
Question
21
21.
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 radius of the circle is
(i)
10.00 cm
(ii)
13.00 cm
(iii)
15.00 cm
(iv)
7.00 cm
(v)
5.00 cm
Question
22
22.
If the area of a sector of a circle is 46.27 sq.cm and the angle subtended at the center by the arc of the sector is 53.00°, the length of the arc of the sector is
(i)
10.25 cm
(ii)
11.25 cm
(iii)
7.25 cm
(iv)
8.25 cm
(v)
9.25 cm
Question
23
23.
If the area of a sector of a circle is 82.94 sq.cm and the angle subtended at the center by the arc of the sector is 95.00°, the perimeter of the sector is
(i)
33.59 cm
(ii)
41.59 cm
(iii)
36.59 cm
(iv)
31.59 cm
(v)
39.59 cm
Question
24
24.
If the area of a sector of a circle is 268.64 sq.cm and the angle subtended at the center by the arc of the sector is 157.00°, the area of the circle is
(i)
623.00 sq.cm
(ii)
642.00 sq.cm
(iii)
601.00 sq.cm
(iv)
604.00 sq.cm
(v)
616.00 sq.cm
Question
25
25.
If the area of a sector of a circle is 33.18 sq.cm and the angle subtended at the center by the arc of the sector is 38.00°, the perimeter of the circle is
(i)
59.86 cm
(ii)
67.86 cm
(iii)
57.86 cm
(iv)
62.86 cm
(v)
65.86 cm
Question
26
26.
If the area of a sector of a circle is 204.91 sq.cm and the length of the arc of the sector is 34.15 cm, the radius of the circle is
(i)
15.00 cm
(ii)
12.00 cm
(iii)
17.00 cm
(iv)
9.00 cm
(v)
7.00 cm
Question
27
27.
If the area of a sector of a circle is 100.40 sq.cm and the length of the arc of the sector is 20.08 cm, the angle subtended at the center by the arc of the sector is
(i)
99.00°
(ii)
115.00°
(iii)
130.00°
(iv)
118.00°
(v)
103.00°
Question
28
28.
If the area of a sector of a circle is 285.76 sq.cm and the length of the arc of the sector is 40.82 cm, the perimeter of the sector is
(i)
68.82 cm
(ii)
73.82 cm
(iii)
71.82 cm
(iv)
65.82 cm
(v)
63.82 cm
Question
29
29.
If the area of a sector of a circle is 80.32 sq.cm and the length of the arc of the sector is 16.06 cm, the area of the circle is
(i)
286.29 sq.cm
(ii)
317.29 sq.cm
(iii)
314.29 sq.cm
(iv)
306.29 sq.cm
(v)
328.29 sq.cm
Question
30
30.
If the area of a sector of a circle is 114.40 sq.cm and the length of the arc of the sector is 19.07 cm, the perimeter of the circle is
(i)
70.43 cm
(ii)
72.43 cm
(iii)
78.43 cm
(iv)
80.43 cm
(v)
75.43 cm
Question
31
31.
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 radius of the circle is
(i)
10.00 cm
(ii)
18.00 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 312.32 sq.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)
131.00°
(ii)
152.00°
(iii)
162.00°
(iv)
174.00°
(v)
159.00°
Question
33
33.
If the area of a sector of a circle is 176.00 sq.cm and the area of the circle is 452.57 sq.cm, the length of the arc of the sector is
(i)
29.33 cm
(ii)
32.33 cm
(iii)
24.33 cm
(iv)
26.33 cm
(v)
34.33 cm
Question
34
34.
If the area of a sector of a circle is 280.62 sq.cm and the area of the circle is 616.00 sq.cm, the perimeter of the sector is
(i)
68.09 cm
(ii)
71.09 cm
(iii)
73.09 cm
(iv)
63.09 cm
(v)
65.09 cm
Question
35
35.
If the area of a sector of a circle is 172.86 sq.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)
97.29 cm
(iv)
91.29 cm
(v)
94.29 cm
Question
36
36.
If the length of the arc of a sector is 20.11 cm and the angle subtended at the center by the arc of the sector is 96.00°, the radius of the circle is
(i)
9.00 cm
(ii)
17.00 cm
(iii)
7.00 cm
(iv)
15.00 cm
(v)
12.00 cm
Question
37
37.
If the length of the arc of a sector is 37.45 cm and the angle subtended at the center by the arc of the sector is 165.00°, the area of the sector is
(i)
269.44 sq.cm
(ii)
257.44 sq.cm
(iii)
236.44 sq.cm
(iv)
243.44 sq.cm
(v)
216.44 sq.cm
Question
38
38.
If the length of the arc of a sector is 10.21 cm and the angle subtended at the center by the arc of the sector is 45.00°, the perimeter of the sector is
(i)
33.21 cm
(ii)
39.21 cm
(iii)
41.21 cm
(iv)
36.21 cm
(v)
31.21 cm
Question
39
39.
If the length of the arc of a sector is 10.74 cm and the angle subtended at the center by the arc of the sector is 41.00°, the area of the circle is
(i)
730.14 sq.cm
(ii)
711.14 sq.cm
(iii)
695.14 sq.cm
(iv)
707.14 sq.cm
(v)
693.14 sq.cm
Question
40
40.
If the length of the arc of a sector is 22.70 cm and the angle subtended at the center by the arc of the sector is 130.00°, the perimeter of the circle is
(i)
67.86 cm
(ii)
59.86 cm
(iii)
65.86 cm
(iv)
57.86 cm
(v)
62.86 cm
Question
41
41.
If the length of the arc of a sector is 31.69 cm and the area of the circle is 380.29 sq.cm, the radius of the circle is
(i)
11.00 cm
(ii)
16.00 cm
(iii)
6.00 cm
(iv)
14.00 cm
(v)
8.00 cm
Question
42
42.
If the length of the arc of a sector is 24.51 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)
108.00°
(ii)
90.00°
(iii)
116.00°
(iv)
132.00°
(v)
82.00°
Question
43
43.
If the length of the arc of a sector is 38.87 cm and the area of the circle is 616.00 sq.cm, the area of the sector is
(i)
272.07 sq.cm
(ii)
255.07 sq.cm
(iii)
249.07 sq.cm
(iv)
284.07 sq.cm
(v)
278.07 sq.cm
Question
44
44.
If the length of the arc of a sector is 20.43 cm and the area of the circle is 314.29 sq.cm, the perimeter of the sector is
(i)
40.43 cm
(ii)
45.43 cm
(iii)
37.43 cm
(iv)
35.43 cm
(v)
43.43 cm
Question
45
45.
If the length of the arc of a sector is 23.71 cm and the area of the circle is 616.00 sq.cm, the perimeter of the circle is
(i)
91.00 cm
(ii)
85.00 cm
(iii)
83.00 cm
(iv)
88.00 cm
(v)
93.00 cm
Question
46
46.
If the length of the arc of a sector is 16.59 cm and the perimeter of the circle is 62.86 cm, the radius of the circle is
(i)
7.00 cm
(ii)
5.00 cm
(iii)
10.00 cm
(iv)
15.00 cm
(v)
13.00 cm
Question
47
47.
If the length of the arc of a sector is 10.30 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)
64.00°
(ii)
56.00°
(iii)
59.00°
(iv)
62.00°
(v)
54.00°
Question
48
48.
If the length of the arc of a sector is 27.94 cm and the perimeter of the circle is 62.86 cm, the area of the sector is
(i)
164.68 sq.cm
(ii)
139.68 sq.cm
(iii)
127.68 sq.cm
(iv)
147.68 sq.cm
(v)
136.68 sq.cm
Question
49
49.
If the length of the arc of a sector is 11.18 cm and the perimeter of the circle is 62.86 cm, the perimeter of the sector is
(i)
28.18 cm
(ii)
36.18 cm
(iii)
31.18 cm
(iv)
34.18 cm
(v)
26.18 cm
Question
50
50.
If the length of the arc of a sector is 31.04 cm and the perimeter of the circle is 88.00 cm, the area of the circle is
(i)
632.00 sq.cm
(ii)
616.00 sq.cm
(iii)
588.00 sq.cm
(iv)
608.00 sq.cm
(v)
631.00 sq.cm
Assignment Key
1) (ii)
2) (iv)
3) (v)
4) (v)
5) (iv)
6) (iii)
7) (v)
8) (ii)
9) (ii)
10) (iv)
11) (iv)
12) (i)
13) (v)
14) (iii)
15) (v)
16) (i)
17) (iii)
18) (iv)
19) (i)
20) (i)
21) (i)
22) (v)
23) (iii)
24) (v)
25) (iv)
26) (ii)
27) (ii)
28) (i)
29) (iii)
30) (v)
31) (v)
32) (v)
33) (i)
34) (i)
35) (v)
36) (v)
37) (iv)
38) (iv)
39) (iv)
40) (v)
41) (i)
42) (i)
43) (i)
44) (i)
45) (iv)
46) (iii)
47) (iii)
48) (ii)
49) (iii)
50) (ii)
