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 88.00°, the length of the arc of the sector is
(i)
15.37 cm
(ii)
10.37 cm
(iii)
18.37 cm
(iv)
20.37 cm
(v)
12.37 cm
Question
2
2.
If the radius of a circle is 13.00 cm and the angle subtended at the center by the arc of a sector is 143.00°, the area of the sector is
(i)
224.98 sq.cm
(ii)
207.98 sq.cm
(iii)
198.98 sq.cm
(iv)
215.98 sq.cm
(v)
210.98 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 143.00°, the perimeter of the sector is
(i)
46.46 cm
(ii)
49.46 cm
(iii)
52.46 cm
(iv)
44.46 cm
(v)
54.46 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 105.00°, the area of the circle is
(i)
380.29 sq.cm
(ii)
382.29 sq.cm
(iii)
367.29 sq.cm
(iv)
397.29 sq.cm
(v)
365.29 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 161.00°, the perimeter of the circle is
(i)
89.29 cm
(ii)
97.29 cm
(iii)
94.29 cm
(iv)
91.29 cm
(v)
99.29 cm
Question
6
6.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 19.91 cm, the angle subtended at the center by the arc of the sector is
(i)
129.00°
(ii)
98.00°
(iii)
127.00°
(iv)
96.00°
(v)
114.00°
Question
7
7.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 23.89 cm, the area of the sector is
(i)
118.31 sq.cm
(ii)
143.31 sq.cm
(iii)
155.31 sq.cm
(iv)
139.31 sq.cm
(v)
156.31 sq.cm
Question
8
8.
If the radius of a circle is 14.00 cm and the length of the arc of a sector is 32.76 cm, the perimeter of the sector is
(i)
63.76 cm
(ii)
60.76 cm
(iii)
57.76 cm
(iv)
65.76 cm
(v)
55.76 cm
Question
9
9.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 8.07 cm, the area of the circle is
(i)
392.29 sq.cm
(ii)
367.29 sq.cm
(iii)
380.29 sq.cm
(iv)
386.29 sq.cm
(v)
368.29 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 22.84 cm, the perimeter of the circle is
(i)
70.43 cm
(ii)
75.43 cm
(iii)
72.43 cm
(iv)
80.43 cm
(v)
78.43 cm
Question
11
11.
If the radius of a circle is 13.00 cm and the area of a sector is 94.42 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
59.00°
(ii)
61.00°
(iii)
67.00°
(iv)
69.00°
(v)
64.00°
Question
12
12.
If the radius of a circle is 10.00 cm and the area of a sector is 130.08 sq.cm, the length of the arc of the sector is
(i)
29.02 cm
(ii)
31.02 cm
(iii)
21.02 cm
(iv)
26.02 cm
(v)
23.02 cm
Question
13
13.
If the radius of a circle is 10.00 cm and the area of a sector is 136.19 sq.cm, the perimeter of the sector is
(i)
47.24 cm
(ii)
52.24 cm
(iii)
50.24 cm
(iv)
42.24 cm
(v)
44.24 cm
Question
14
14.
If the radius of a circle is 10.00 cm and the area of a sector is 72.46 sq.cm, the area of the circle is
(i)
330.29 sq.cm
(ii)
314.29 sq.cm
(iii)
299.29 sq.cm
(iv)
312.29 sq.cm
(v)
318.29 sq.cm
Question
15
15.
If the radius of a circle is 11.00 cm and the area of a sector is 71.83 sq.cm, the perimeter of the circle is
(i)
74.14 cm
(ii)
69.14 cm
(iii)
66.14 cm
(iv)
64.14 cm
(v)
72.14 cm
Question
16
16.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 53.69 cm, the angle subtended at the center by the arc of the sector is
(i)
98.00°
(ii)
119.00°
(iii)
122.00°
(iv)
137.00°
(v)
124.00°
Question
17
17.
If the radius of a circle is 13.00 cm and the perimeter of a sector is 38.48 cm, the length of the arc of the sector is
(i)
9.48 cm
(ii)
17.48 cm
(iii)
7.48 cm
(iv)
12.48 cm
(v)
15.48 cm
Question
18
18.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 55.22 cm, the area of the sector is
(i)
187.31 sq.cm
(ii)
171.31 sq.cm
(iii)
202.31 sq.cm
(iv)
210.31 sq.cm
(v)
183.31 sq.cm
Question
19
19.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 62.71 cm, the area of the circle is
(i)
634.00 sq.cm
(ii)
593.00 sq.cm
(iii)
612.00 sq.cm
(iv)
630.00 sq.cm
(v)
616.00 sq.cm
Question
20
20.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 41.39 cm, the perimeter of the circle is
(i)
72.43 cm
(ii)
80.43 cm
(iii)
75.43 cm
(iv)
70.43 cm
(v)
78.43 cm
Question
21
21.
If the area of a sector of a circle is 60.21 sq.cm and the angle subtended at the center by the arc of the sector is 57.00°, the radius of the circle is
(i)
6.00 cm
(ii)
8.00 cm
(iii)
16.00 cm
(iv)
11.00 cm
(v)
14.00 cm
Question
22
22.
If the area of a sector of a circle is 147.89 sq.cm and the angle subtended at the center by the arc of the sector is 140.00°, the length of the arc of the sector is
(i)
31.89 cm
(ii)
26.89 cm
(iii)
23.89 cm
(iv)
29.89 cm
(v)
21.89 cm
Question
23
23.
If the area of a sector of a circle is 121.49 sq.cm and the angle subtended at the center by the arc of the sector is 71.00°, the perimeter of the sector is
(i)
45.36 cm
(ii)
50.36 cm
(iii)
42.36 cm
(iv)
40.36 cm
(v)
48.36 cm
Question
24
24.
If the area of a sector of a circle is 98.06 sq.cm and the angle subtended at the center by the arc of the sector is 78.00°, the area of the circle is
(i)
466.57 sq.cm
(ii)
475.57 sq.cm
(iii)
452.57 sq.cm
(iv)
450.57 sq.cm
(v)
437.57 sq.cm
Question
25
25.
If the area of a sector of a circle is 207.43 sq.cm and the angle subtended at the center by the arc of the sector is 165.00°, the perimeter of the circle is
(i)
72.43 cm
(ii)
80.43 cm
(iii)
75.43 cm
(iv)
70.43 cm
(v)
78.43 cm
Question
26
26.
If the area of a sector of a circle is 89.05 sq.cm and the length of the arc of the sector is 17.81 cm, the radius of the circle is
(i)
5.00 cm
(ii)
10.00 cm
(iii)
7.00 cm
(iv)
15.00 cm
(v)
13.00 cm
Question
27
27.
If the area of a sector of a circle is 174.82 sq.cm and the length of the arc of the sector is 23.31 cm, the angle subtended at the center by the arc of the sector is
(i)
94.00°
(ii)
92.00°
(iii)
86.00°
(iv)
89.00°
(v)
84.00°
Question
28
28.
If the area of a sector of a circle is 126.59 sq.cm and the length of the arc of the sector is 25.32 cm, the perimeter of the sector is
(i)
42.32 cm
(ii)
40.32 cm
(iii)
50.32 cm
(iv)
48.32 cm
(v)
45.32 cm
Question
29
29.
If the area of a sector of a circle is 175.36 sq.cm and the length of the arc of the sector is 31.88 cm, the area of the circle is
(i)
397.29 sq.cm
(ii)
357.29 sq.cm
(iii)
395.29 sq.cm
(iv)
372.29 sq.cm
(v)
380.29 sq.cm
Question
30
30.
If the area of a sector of a circle is 266.93 sq.cm and the length of the arc of the sector is 38.13 cm, the perimeter of the circle is
(i)
88.00 cm
(ii)
91.00 cm
(iii)
83.00 cm
(iv)
93.00 cm
(v)
85.00 cm
Question
31
31.
If the area of a sector of a circle is 61.97 sq.cm and the area of the circle is 531.14 sq.cm, the radius of the circle is
(i)
16.00 cm
(ii)
8.00 cm
(iii)
13.00 cm
(iv)
18.00 cm
(v)
10.00 cm
Question
32
32.
If the area of a sector of a circle is 71.66 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)
62.00°
(ii)
54.00°
(iii)
57.00°
(iv)
60.00°
(v)
52.00°
Question
33
33.
If the area of a sector of a circle is 115.89 sq.cm and the area of the circle is 707.14 sq.cm, the length of the arc of the sector is
(i)
15.45 cm
(ii)
12.45 cm
(iii)
10.45 cm
(iv)
20.45 cm
(v)
18.45 cm
Question
34
34.
If the area of a sector of a circle is 144.92 sq.cm and the area of the circle is 314.29 sq.cm, the perimeter of the sector is
(i)
48.99 cm
(ii)
45.99 cm
(iii)
43.99 cm
(iv)
51.99 cm
(v)
53.99 cm
Question
35
35.
If the area of a sector of a circle is 105.64 sq.cm and the area of the circle is 380.29 sq.cm, the perimeter of the circle is
(i)
69.14 cm
(ii)
72.14 cm
(iii)
66.14 cm
(iv)
74.14 cm
(v)
64.14 cm
Question
36
36.
If the length of the arc of a sector is 13.62 cm and the angle subtended at the center by the arc of the sector is 65.00°, the radius of the circle is
(i)
12.00 cm
(ii)
17.00 cm
(iii)
7.00 cm
(iv)
15.00 cm
(v)
9.00 cm
Question
37
37.
If the length of the arc of a sector is 38.76 cm and the angle subtended at the center by the arc of the sector is 148.00°, the area of the sector is
(i)
276.71 sq.cm
(ii)
282.71 sq.cm
(iii)
304.71 sq.cm
(iv)
290.71 sq.cm
(v)
307.71 sq.cm
Question
38
38.
If the length of the arc of a sector is 17.29 cm and the angle subtended at the center by the arc of the sector is 66.00°, the perimeter of the sector is
(i)
47.29 cm
(ii)
52.29 cm
(iii)
50.29 cm
(iv)
44.29 cm
(v)
42.29 cm
Question
39
39.
If the length of the arc of a sector is 12.83 cm and the angle subtended at the center by the arc of the sector is 49.00°, the area of the circle is
(i)
707.14 sq.cm
(ii)
703.14 sq.cm
(iii)
735.14 sq.cm
(iv)
690.14 sq.cm
(v)
721.14 sq.cm
Question
40
40.
If the length of the arc of a sector is 9.29 cm and the angle subtended at the center by the arc of the sector is 38.00°, the perimeter of the circle is
(i)
83.00 cm
(ii)
88.00 cm
(iii)
85.00 cm
(iv)
93.00 cm
(v)
91.00 cm
Question
41
41.
If the length of the arc of a sector is 38.13 cm and the area of the circle is 616.00 sq.cm, the radius of the circle is
(i)
17.00 cm
(ii)
9.00 cm
(iii)
14.00 cm
(iv)
11.00 cm
(v)
19.00 cm
Question
42
42.
If the length of the arc of a sector is 11.18 cm and the area of the circle is 314.29 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
64.00°
(ii)
69.00°
(iii)
59.00°
(iv)
67.00°
(v)
61.00°
Question
43
43.
If the length of the arc of a sector is 24.31 cm and the area of the circle is 452.57 sq.cm, the area of the sector is
(i)
133.83 sq.cm
(ii)
158.83 sq.cm
(iii)
157.83 sq.cm
(iv)
141.83 sq.cm
(v)
145.83 sq.cm
Question
44
44.
If the length of the arc of a sector is 9.60 cm and the area of the circle is 314.29 sq.cm, the perimeter of the sector is
(i)
29.60 cm
(ii)
32.60 cm
(iii)
24.60 cm
(iv)
34.60 cm
(v)
26.60 cm
Question
45
45.
If the length of the arc of a sector is 40.60 cm and the area of the circle is 707.14 sq.cm, the perimeter of the circle is
(i)
99.29 cm
(ii)
91.29 cm
(iii)
89.29 cm
(iv)
94.29 cm
(v)
97.29 cm
Question
46
46.
If the length of the arc of a sector is 28.84 cm and the perimeter of the circle is 88.00 cm, the radius of the circle is
(i)
11.00 cm
(ii)
9.00 cm
(iii)
19.00 cm
(iv)
17.00 cm
(v)
14.00 cm
Question
47
47.
If the length of the arc of a sector is 18.86 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)
93.00°
(ii)
87.00°
(iii)
90.00°
(iv)
85.00°
(v)
95.00°
Question
48
48.
If the length of the arc of a sector is 26.89 cm and the perimeter of the circle is 88.00 cm, the area of the sector is
(i)
163.22 sq.cm
(ii)
192.22 sq.cm
(iii)
215.22 sq.cm
(iv)
188.22 sq.cm
(v)
175.22 sq.cm
Question
49
49.
If the length of the arc of a sector is 25.32 cm and the perimeter of the circle is 62.86 cm, the perimeter of the sector is
(i)
42.32 cm
(ii)
48.32 cm
(iii)
45.32 cm
(iv)
50.32 cm
(v)
40.32 cm
Question
50
50.
If the length of the arc of a sector is 15.21 cm and the perimeter of the circle is 81.71 cm, the area of the circle is
(i)
529.14 sq.cm
(ii)
514.14 sq.cm
(iii)
556.14 sq.cm
(iv)
539.14 sq.cm
(v)
531.14 sq.cm
Assignment Key
1) (i)
2) (v)
3) (ii)
4) (i)
5) (iii)
6) (v)
7) (ii)
8) (ii)
9) (iii)
10) (ii)
11) (v)
12) (iv)
13) (i)
14) (ii)
15) (ii)
16) (iii)
17) (iv)
18) (i)
19) (v)
20) (iii)
21) (iv)
22) (ii)
23) (i)
24) (iii)
25) (iii)
26) (ii)
27) (iv)
28) (v)
29) (v)
30) (i)
31) (iii)
32) (iii)
33) (i)
34) (i)
35) (i)
36) (i)
37) (iv)
38) (i)
39) (i)
40) (ii)
41) (iii)
42) (i)
43) (v)
44) (i)
45) (iv)
46) (v)
47) (iii)
48) (iv)
49) (iii)
50) (v)
