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 116.00°, the length of the arc of the sector is
(i)
19.31 cm
(ii)
21.31 cm
(iii)
29.31 cm
(iv)
24.31 cm
(v)
27.31 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 32.00°, the area of the sector is
(i)
67.86 sq.cm
(ii)
65.86 sq.cm
(iii)
57.86 sq.cm
(iv)
62.86 sq.cm
(v)
59.86 sq.cm
Question
3
3.
If the radius of a circle is 10.00 cm and the angle subtended at the center by the arc of a sector is 44.00°, the perimeter of the sector is
(i)
30.68 cm
(ii)
24.68 cm
(iii)
22.68 cm
(iv)
32.68 cm
(v)
27.68 cm
Question
4
4.
If the radius of a circle is 10.00 cm and the angle subtended at the center by the arc of a sector is 30.00°, the area of the circle is
(i)
308.29 sq.cm
(ii)
339.29 sq.cm
(iii)
331.29 sq.cm
(iv)
314.29 sq.cm
(v)
297.29 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 39.00°, the perimeter of the circle is
(i)
81.71 cm
(ii)
78.71 cm
(iii)
76.71 cm
(iv)
84.71 cm
(v)
86.71 cm
Question
6
6.
If the radius of a circle is 14.00 cm and the length of the arc of a sector is 31.29 cm, the angle subtended at the center by the arc of the sector is
(i)
141.00°
(ii)
120.00°
(iii)
100.00°
(iv)
132.00°
(v)
128.00°
Question
7
7.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 14.67 cm, the area of the sector is
(i)
91.00 sq.cm
(ii)
85.00 sq.cm
(iii)
93.00 sq.cm
(iv)
88.00 sq.cm
(v)
83.00 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 13.16 cm, the perimeter of the sector is
(i)
42.16 cm
(ii)
44.16 cm
(iii)
36.16 cm
(iv)
34.16 cm
(v)
39.16 cm
Question
9
9.
If the radius of a circle is 12.00 cm and the length of the arc of a sector is 23.68 cm, the area of the circle is
(i)
467.57 sq.cm
(ii)
438.57 sq.cm
(iii)
435.57 sq.cm
(iv)
452.57 sq.cm
(v)
466.57 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 13.62 cm, the perimeter of the circle is
(i)
75.43 cm
(ii)
80.43 cm
(iii)
72.43 cm
(iv)
78.43 cm
(v)
70.43 cm
Question
11
11.
If the radius of a circle is 14.00 cm and the area of a sector is 53.04 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
34.00°
(ii)
28.00°
(iii)
36.00°
(iv)
26.00°
(v)
31.00°
Question
12
12.
If the radius of a circle is 13.00 cm and the area of a sector is 106.23 sq.cm, the length of the arc of the sector is
(i)
16.34 cm
(ii)
21.34 cm
(iii)
11.34 cm
(iv)
19.34 cm
(v)
13.34 cm
Question
13
13.
If the radius of a circle is 13.00 cm and the area of a sector is 47.21 sq.cm, the perimeter of the sector is
(i)
30.26 cm
(ii)
38.26 cm
(iii)
33.26 cm
(iv)
28.26 cm
(v)
36.26 cm
Question
14
14.
If the radius of a circle is 12.00 cm and the area of a sector is 104.34 sq.cm, the area of the circle is
(i)
439.57 sq.cm
(ii)
426.57 sq.cm
(iii)
452.57 sq.cm
(iv)
467.57 sq.cm
(v)
465.57 sq.cm
Question
15
15.
If the radius of a circle is 14.00 cm and the area of a sector is 229.29 sq.cm, the perimeter of the circle is
(i)
88.00 cm
(ii)
85.00 cm
(iii)
93.00 cm
(iv)
91.00 cm
(v)
83.00 cm
Question
16
16.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 55.62 cm, the angle subtended at the center by the arc of the sector is
(i)
99.00°
(ii)
130.00°
(iii)
135.00°
(iv)
98.00°
(v)
113.00°
Question
17
17.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 27.76 cm, the length of the arc of the sector is
(i)
4.76 cm
(ii)
5.76 cm
(iii)
6.76 cm
(iv)
7.76 cm
(v)
3.76 cm
Question
18
18.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 45.98 cm, the area of the sector is
(i)
92.82 sq.cm
(ii)
137.82 sq.cm
(iii)
112.82 sq.cm
(iv)
119.82 sq.cm
(v)
134.82 sq.cm
Question
19
19.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 70.86 cm, the area of the circle is
(i)
719.14 sq.cm
(ii)
695.14 sq.cm
(iii)
732.14 sq.cm
(iv)
707.14 sq.cm
(v)
694.14 sq.cm
Question
20
20.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 44.93 cm, the perimeter of the circle is
(i)
89.29 cm
(ii)
97.29 cm
(iii)
99.29 cm
(iv)
91.29 cm
(v)
94.29 cm
Question
21
21.
If the area of a sector of a circle is 194.86 sq.cm and the angle subtended at the center by the arc of the sector is 155.00°, the radius of the circle is
(i)
15.00 cm
(ii)
9.00 cm
(iii)
7.00 cm
(iv)
12.00 cm
(v)
17.00 cm
Question
22
22.
If the area of a sector of a circle is 153.21 sq.cm and the angle subtended at the center by the arc of the sector is 78.00°, the length of the arc of the sector is
(i)
17.43 cm
(ii)
20.43 cm
(iii)
25.43 cm
(iv)
23.43 cm
(v)
15.43 cm
Question
23
23.
If the area of a sector of a circle is 105.60 sq.cm and the angle subtended at the center by the arc of the sector is 84.00°, the perimeter of the sector is
(i)
36.60 cm
(ii)
46.60 cm
(iii)
41.60 cm
(iv)
44.60 cm
(v)
38.60 cm
Question
24
24.
If the area of a sector of a circle is 203.60 sq.cm and the angle subtended at the center by the arc of the sector is 138.00°, the area of the circle is
(i)
524.14 sq.cm
(ii)
544.14 sq.cm
(iii)
543.14 sq.cm
(iv)
531.14 sq.cm
(v)
506.14 sq.cm
Question
25
25.
If the area of a sector of a circle is 65.37 sq.cm and the angle subtended at the center by the arc of the sector is 52.00°, the perimeter of the circle is
(i)
80.43 cm
(ii)
78.43 cm
(iii)
70.43 cm
(iv)
72.43 cm
(v)
75.43 cm
Question
26
26.
If the area of a sector of a circle is 143.73 sq.cm and the length of the arc of the sector is 20.53 cm, the radius of the circle is
(i)
11.00 cm
(ii)
14.00 cm
(iii)
19.00 cm
(iv)
9.00 cm
(v)
17.00 cm
Question
27
27.
If the area of a sector of a circle is 53.87 sq.cm and the length of the arc of the sector is 9.79 cm, the angle subtended at the center by the arc of the sector is
(i)
54.00°
(ii)
48.00°
(iii)
51.00°
(iv)
56.00°
(v)
46.00°
Question
28
28.
If the area of a sector of a circle is 123.93 sq.cm and the length of the arc of the sector is 19.07 cm, the perimeter of the sector is
(i)
48.07 cm
(ii)
50.07 cm
(iii)
40.07 cm
(iv)
45.07 cm
(v)
42.07 cm
Question
29
29.
If the area of a sector of a circle is 278.91 sq.cm and the length of the arc of the sector is 39.84 cm, the area of the circle is
(i)
616.00 sq.cm
(ii)
602.00 sq.cm
(iii)
631.00 sq.cm
(iv)
633.00 sq.cm
(v)
590.00 sq.cm
Question
30
30.
If the area of a sector of a circle is 202.40 sq.cm and the length of the arc of the sector is 33.73 cm, the perimeter of the circle is
(i)
80.43 cm
(ii)
70.43 cm
(iii)
75.43 cm
(iv)
78.43 cm
(v)
72.43 cm
Question
31
31.
If the area of a sector of a circle is 234.59 sq.cm and the area of the circle is 531.14 sq.cm, the radius of the circle is
(i)
13.00 cm
(ii)
16.00 cm
(iii)
8.00 cm
(iv)
10.00 cm
(v)
18.00 cm
Question
32
32.
If the area of a sector of a circle is 96.91 sq.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)
114.00°
(ii)
99.00°
(iii)
95.00°
(iv)
137.00°
(v)
111.00°
Question
33
33.
If the area of a sector of a circle is 150.49 sq.cm and the area of the circle is 531.14 sq.cm, the length of the arc of the sector is
(i)
26.15 cm
(ii)
23.15 cm
(iii)
28.15 cm
(iv)
20.15 cm
(v)
18.15 cm
Question
34
34.
If the area of a sector of a circle is 246.40 sq.cm and the area of the circle is 616.00 sq.cm, the perimeter of the sector is
(i)
63.20 cm
(ii)
66.20 cm
(iii)
60.20 cm
(iv)
58.20 cm
(v)
68.20 cm
Question
35
35.
If the area of a sector of a circle is 86.62 sq.cm and the area of the circle is 380.29 sq.cm, the perimeter of the circle is
(i)
72.14 cm
(ii)
69.14 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 17.02 cm and the angle subtended at the center by the arc of the sector is 75.00°, the radius of the circle is
(i)
8.00 cm
(ii)
18.00 cm
(iii)
16.00 cm
(iv)
10.00 cm
(v)
13.00 cm
Question
37
37.
If the length of the arc of a sector is 33.24 cm and the angle subtended at the center by the arc of the sector is 136.00°, the area of the sector is
(i)
232.71 sq.cm
(ii)
228.71 sq.cm
(iii)
208.71 sq.cm
(iv)
247.71 sq.cm
(v)
244.71 sq.cm
Question
38
38.
If the length of the arc of a sector is 25.42 cm and the angle subtended at the center by the arc of the sector is 104.00°, the perimeter of the sector is
(i)
53.42 cm
(ii)
50.42 cm
(iii)
56.42 cm
(iv)
48.42 cm
(v)
58.42 cm
Question
39
39.
If the length of the arc of a sector is 25.65 cm and the angle subtended at the center by the arc of the sector is 113.00°, the area of the circle is
(i)
548.14 sq.cm
(ii)
531.14 sq.cm
(iii)
517.14 sq.cm
(iv)
543.14 sq.cm
(v)
525.14 sq.cm
Question
40
40.
If the length of the arc of a sector is 35.63 cm and the angle subtended at the center by the arc of the sector is 157.00°, the perimeter of the circle is
(i)
76.71 cm
(ii)
86.71 cm
(iii)
81.71 cm
(iv)
78.71 cm
(v)
84.71 cm
Question
41
41.
If the length of the arc of a sector is 38.50 cm and the area of the circle is 707.14 sq.cm, the radius of the circle is
(i)
12.00 cm
(ii)
18.00 cm
(iii)
10.00 cm
(iv)
20.00 cm
(v)
15.00 cm
Question
42
42.
If the length of the arc of a sector is 32.27 cm and the area of the circle is 380.29 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
168.00°
(ii)
172.00°
(iii)
150.00°
(iv)
192.00°
Question
43
43.
If the length of the arc of a sector is 8.73 cm and the area of the circle is 314.29 sq.cm, the area of the sector is
(i)
40.65 sq.cm
(ii)
46.65 sq.cm
(iii)
38.65 sq.cm
(iv)
43.65 sq.cm
(v)
48.65 sq.cm
Question
44
44.
If the length of the arc of a sector is 26.89 cm and the area of the circle is 380.29 sq.cm, the perimeter of the sector is
(i)
43.89 cm
(ii)
53.89 cm
(iii)
45.89 cm
(iv)
51.89 cm
(v)
48.89 cm
Question
45
45.
If the length of the arc of a sector is 7.33 cm and the area of the circle is 452.57 sq.cm, the perimeter of the circle is
(i)
75.43 cm
(ii)
72.43 cm
(iii)
70.43 cm
(iv)
80.43 cm
(v)
78.43 cm
Question
46
46.
If the length of the arc of a sector is 28.81 cm and the perimeter of the circle is 69.14 cm, the radius of the circle is
(i)
16.00 cm
(ii)
6.00 cm
(iii)
11.00 cm
(iv)
14.00 cm
(v)
8.00 cm
Question
47
47.
If the length of the arc of a sector is 15.64 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)
67.00°
(ii)
64.00°
(iii)
69.00°
(iv)
59.00°
(v)
61.00°
Question
48
48.
If the length of the arc of a sector is 14.40 cm and the perimeter of the circle is 69.14 cm, the area of the sector is
(i)
84.23 sq.cm
(ii)
79.23 sq.cm
(iii)
74.23 sq.cm
(iv)
76.23 sq.cm
(v)
82.23 sq.cm
Question
49
49.
If the length of the arc of a sector is 25.42 cm and the perimeter of the circle is 88.00 cm, the perimeter of the sector is
(i)
50.42 cm
(ii)
56.42 cm
(iii)
58.42 cm
(iv)
48.42 cm
(v)
53.42 cm
Question
50
50.
If the length of the arc of a sector is 11.94 cm and the perimeter of the circle is 75.43 cm, the area of the circle is
(i)
425.57 sq.cm
(ii)
454.57 sq.cm
(iii)
475.57 sq.cm
(iv)
437.57 sq.cm
(v)
452.57 sq.cm
Assignment Key
1) (iv)
2) (iv)
3) (v)
4) (iv)
5) (i)
6) (v)
7) (iv)
8) (v)
9) (iv)
10) (i)
11) (v)
12) (i)
13) (iii)
14) (iii)
15) (i)
16) (v)
17) (ii)
18) (iv)
19) (iv)
20) (v)
21) (iv)
22) (ii)
23) (iii)
24) (iv)
25) (v)
26) (ii)
27) (iii)
28) (iv)
29) (i)
30) (iii)
31) (i)
32) (v)
33) (ii)
34) (i)
35) (ii)
36) (v)
37) (i)
38) (i)
39) (ii)
40) (iii)
41) (v)
42) (i)
43) (iv)
44) (v)
45) (i)
46) (iii)
47) (ii)
48) (ii)
49) (v)
50) (v)
