EduSahara™ Assignment
Name : Areas of Sectors
Chapter : Area Related to Circles
Grade : CBSE 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 53.00°, the length of the arc of the sector is
(i)
9.25 cm
(ii)
11.25 cm
(iii)
7.25 cm
(iv)
10.25 cm
(v)
8.25 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 46.00°, the area of the sector is
(i)
70.87 sq.cm
(ii)
62.87 sq.cm
(iii)
67.87 sq.cm
(iv)
72.87 sq.cm
(v)
64.87 sq.cm
Question
3
3.
If the radius of a circle is 14.00 cm and the angle subtended at the center by the arc of a sector is 139.00°, the perimeter of the sector is
(i)
56.98 cm
(ii)
66.98 cm
(iii)
64.98 cm
(iv)
58.98 cm
(v)
61.98 cm
Question
4
4.
If the radius of a circle is 15.00 cm and the angle subtended at the center by the arc of a sector is 69.00°, the area of the circle is
(i)
703.14 sq.cm
(ii)
732.14 sq.cm
(iii)
694.14 sq.cm
(iv)
715.14 sq.cm
(v)
707.14 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 140.00°, the perimeter of the circle is
(i)
84.71 cm
(ii)
78.71 cm
(iii)
76.71 cm
(iv)
86.71 cm
(v)
81.71 cm
Question
6
6.
If the radius of a circle is 13.00 cm and the length of the arc of a sector is 24.06 cm, the angle subtended at the center by the arc of the sector is
(i)
118.00°
(ii)
90.00°
(iii)
106.00°
(iv)
89.00°
(v)
129.00°
Question
7
7.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 6.53 cm, the area of the sector is
(i)
32.92 sq.cm
(ii)
40.92 sq.cm
(iii)
30.92 sq.cm
(iv)
38.92 sq.cm
(v)
35.92 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 24.20 cm, the perimeter of the sector is
(i)
49.20 cm
(ii)
43.20 cm
(iii)
51.20 cm
(iv)
41.20 cm
(v)
46.20 cm
Question
9
9.
If the radius of a circle is 14.00 cm and the length of the arc of a sector is 12.71 cm, the area of the circle is
(i)
628.00 sq.cm
(ii)
633.00 sq.cm
(iii)
616.00 sq.cm
(iv)
608.00 sq.cm
(v)
600.00 sq.cm
Question
10
10.
If the radius of a circle is 15.00 cm and the length of the arc of a sector is 35.10 cm, the perimeter of the circle is
(i)
91.29 cm
(ii)
99.29 cm
(iii)
97.29 cm
(iv)
89.29 cm
(v)
94.29 cm
Question
11
11.
If the radius of a circle is 15.00 cm and the area of a sector is 231.78 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
96.00°
(ii)
118.00°
(iii)
114.00°
(iv)
133.00°
(v)
146.00°
Question
12
12.
If the radius of a circle is 15.00 cm and the area of a sector is 249.46 sq.cm, the length of the arc of the sector is
(i)
33.26 cm
(ii)
28.26 cm
(iii)
30.26 cm
(iv)
38.26 cm
(v)
36.26 cm
Question
13
13.
If the radius of a circle is 13.00 cm and the area of a sector is 88.52 sq.cm, the perimeter of the sector is
(i)
34.62 cm
(ii)
44.62 cm
(iii)
36.62 cm
(iv)
39.62 cm
(v)
42.62 cm
Question
14
14.
If the radius of a circle is 14.00 cm and the area of a sector is 181.38 sq.cm, the area of the circle is
(i)
619.00 sq.cm
(ii)
601.00 sq.cm
(iii)
644.00 sq.cm
(iv)
616.00 sq.cm
(v)
592.00 sq.cm
Question
15
15.
If the radius of a circle is 13.00 cm and the area of a sector is 188.85 sq.cm, the perimeter of the circle is
(i)
78.71 cm
(ii)
81.71 cm
(iii)
86.71 cm
(iv)
84.71 cm
(v)
76.71 cm
Question
16
16.
If the radius of a circle is 12.00 cm and the perimeter of a sector is 30.50 cm, the angle subtended at the center by the arc of the sector is
(i)
26.00°
(ii)
28.00°
(iii)
34.00°
(iv)
31.00°
(v)
36.00°
Question
17
17.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 55.14 cm, the length of the arc of the sector is
(i)
22.14 cm
(ii)
30.14 cm
(iii)
20.14 cm
(iv)
25.14 cm
(v)
28.14 cm
Question
18
18.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 62.96 cm, the area of the sector is
(i)
259.69 sq.cm
(ii)
230.69 sq.cm
(iii)
244.69 sq.cm
(iv)
226.69 sq.cm
(v)
248.69 sq.cm
Question
19
19.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 28.38 cm, the area of the circle is
(i)
328.29 sq.cm
(ii)
296.29 sq.cm
(iii)
314.29 sq.cm
(iv)
331.29 sq.cm
(v)
312.29 sq.cm
Question
20
20.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 61.00 cm, the perimeter of the circle is
(i)
91.00 cm
(ii)
83.00 cm
(iii)
85.00 cm
(iv)
93.00 cm
(v)
88.00 cm
Question
21
21.
If the area of a sector of a circle is 93.41 sq.cm and the angle subtended at the center by the arc of the sector is 107.00°, the radius of the circle is
(i)
15.00 cm
(ii)
13.00 cm
(iii)
5.00 cm
(iv)
10.00 cm
(v)
7.00 cm
Question
22
22.
If the area of a sector of a circle is 149.01 sq.cm and the angle subtended at the center by the arc of the sector is 101.00°, the length of the arc of the sector is
(i)
22.92 cm
(ii)
27.92 cm
(iii)
25.92 cm
(iv)
17.92 cm
(v)
19.92 cm
Question
23
23.
If the area of a sector of a circle is 171.15 sq.cm and the angle subtended at the center by the arc of the sector is 116.00°, the perimeter of the sector is
(i)
52.33 cm
(ii)
57.33 cm
(iii)
55.33 cm
(iv)
47.33 cm
(v)
49.33 cm
Question
24
24.
If the area of a sector of a circle is 79.45 sq.cm and the angle subtended at the center by the arc of the sector is 91.00°, the area of the circle is
(i)
314.29 sq.cm
(ii)
301.29 sq.cm
(iii)
328.29 sq.cm
(iv)
302.29 sq.cm
(v)
327.29 sq.cm
Question
25
25.
If the area of a sector of a circle is 102.14 sq.cm and the angle subtended at the center by the arc of the sector is 117.00°, the perimeter of the circle is
(i)
62.86 cm
(ii)
57.86 cm
(iii)
65.86 cm
(iv)
67.86 cm
(v)
59.86 cm
Question
26
26.
If the area of a sector of a circle is 141.43 sq.cm and the length of the arc of the sector is 28.29 cm, the radius of the circle is
(i)
10.00 cm
(ii)
5.00 cm
(iii)
15.00 cm
(iv)
13.00 cm
(v)
7.00 cm
Question
27
27.
If the area of a sector of a circle is 175.57 sq.cm and the length of the arc of the sector is 27.01 cm, the angle subtended at the center by the arc of the sector is
(i)
142.00°
(ii)
104.00°
(iii)
121.00°
(iv)
102.00°
(v)
119.00°
Question
28
28.
If the area of a sector of a circle is 95.16 sq.cm and the length of the arc of the sector is 19.03 cm, the perimeter of the sector is
(i)
39.03 cm
(ii)
44.03 cm
(iii)
34.03 cm
(iv)
36.03 cm
(v)
42.03 cm
Question
29
29.
If the area of a sector of a circle is 222.44 sq.cm and the length of the arc of the sector is 31.78 cm, the area of the circle is
(i)
638.00 sq.cm
(ii)
633.00 sq.cm
(iii)
601.00 sq.cm
(iv)
616.00 sq.cm
(v)
602.00 sq.cm
Question
30
30.
If the area of a sector of a circle is 84.23 sq.cm and the length of the arc of the sector is 14.04 cm, the perimeter of the circle is
(i)
80.43 cm
(ii)
78.43 cm
(iii)
75.43 cm
(iv)
70.43 cm
(v)
72.43 cm
Question
31
31.
If the area of a sector of a circle is 48.89 sq.cm and the area of the circle is 314.29 sq.cm, the radius of the circle is
(i)
7.00 cm
(ii)
13.00 cm
(iii)
15.00 cm
(iv)
5.00 cm
(v)
10.00 cm
Question
32
32.
If the area of a sector of a circle is 85.56 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)
98.00°
(ii)
103.00°
(iii)
95.00°
(iv)
101.00°
(v)
93.00°
Question
33
33.
If the area of a sector of a circle is 64.82 sq.cm and the area of the circle is 707.14 sq.cm, the length of the arc of the sector is
(i)
8.64 cm
(ii)
9.64 cm
(iii)
7.64 cm
(iv)
6.64 cm
(v)
10.64 cm
Question
34
34.
If the area of a sector of a circle is 80.28 sq.cm and the area of the circle is 380.29 sq.cm, the perimeter of the sector is
(i)
39.60 cm
(ii)
33.60 cm
(iii)
31.60 cm
(iv)
41.60 cm
(v)
36.60 cm
Question
35
35.
If the area of a sector of a circle is 149.60 sq.cm and the area of the circle is 452.57 sq.cm, the perimeter of the circle is
(i)
70.43 cm
(ii)
78.43 cm
(iii)
80.43 cm
(iv)
72.43 cm
(v)
75.43 cm
Question
36
36.
If the length of the arc of a sector is 34.50 cm and the angle subtended at the center by the arc of the sector is 152.00°, the radius of the circle is
(i)
16.00 cm
(ii)
8.00 cm
(iii)
18.00 cm
(iv)
10.00 cm
(v)
13.00 cm
Question
37
37.
If the length of the arc of a sector is 18.51 cm and the angle subtended at the center by the arc of the sector is 106.00°, the area of the sector is
(i)
92.54 sq.cm
(ii)
89.54 sq.cm
(iii)
87.54 sq.cm
(iv)
97.54 sq.cm
(v)
95.54 sq.cm
Question
38
38.
If the length of the arc of a sector is 10.18 cm and the angle subtended at the center by the arc of the sector is 53.00°, the perimeter of the sector is
(i)
37.18 cm
(ii)
29.18 cm
(iii)
35.18 cm
(iv)
32.18 cm
(v)
27.18 cm
Question
39
39.
If the length of the arc of a sector is 9.31 cm and the angle subtended at the center by the arc of the sector is 41.00°, the perimeter of the circle is
(i)
84.71 cm
(ii)
86.71 cm
(iii)
81.71 cm
(iv)
78.71 cm
(v)
76.71 cm
Question
40
40.
If the length of the arc of a sector is 21.89 cm and the area of the circle is 380.29 sq.cm, the radius of the circle is
(i)
16.00 cm
(ii)
14.00 cm
(iii)
11.00 cm
(iv)
8.00 cm
(v)
6.00 cm
Question
41
41.
If the length of the arc of a sector is 35.86 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)
161.00°
(ii)
144.00°
(iii)
158.00°
(iv)
143.00°
(v)
186.00°
Question
42
42.
If the length of the arc of a sector is 23.31 cm and the area of the circle is 707.14 sq.cm, the area of the sector is
(i)
201.82 sq.cm
(ii)
158.82 sq.cm
(iii)
179.82 sq.cm
(iv)
150.82 sq.cm
(v)
174.82 sq.cm
Question
43
43.
If the length of the arc of a sector is 23.22 cm and the area of the circle is 616.00 sq.cm, the perimeter of the sector is
(i)
56.22 cm
(ii)
46.22 cm
(iii)
48.22 cm
(iv)
51.22 cm
(v)
54.22 cm
Question
44
44.
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 perimeter of the circle is
(i)
93.00 cm
(ii)
88.00 cm
(iii)
91.00 cm
(iv)
85.00 cm
(v)
83.00 cm
Question
45
45.
If the length of the arc of a sector is 40.58 cm and the perimeter of the circle is 88.00 cm, the radius of the circle is
(i)
11.00 cm
(ii)
19.00 cm
(iii)
14.00 cm
(iv)
9.00 cm
(v)
17.00 cm
Question
46
46.
If the length of the arc of a sector is 30.31 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)
124.00°
(ii)
109.00°
(iii)
132.00°
(iv)
107.00°
(v)
137.00°
Question
47
47.
If the length of the arc of a sector is 27.27 cm and the perimeter of the circle is 69.14 cm, the area of the sector is
(i)
127.00 sq.cm
(ii)
150.00 sq.cm
(iii)
144.00 sq.cm
(iv)
155.00 sq.cm
(v)
177.00 sq.cm
Question
48
48.
If the length of the arc of a sector is 27.38 cm and the perimeter of the circle is 88.00 cm, the perimeter of the sector is
(i)
52.38 cm
(ii)
55.38 cm
(iii)
60.38 cm
(iv)
58.38 cm
(v)
50.38 cm
Question
49
49.
If the length of the arc of a sector is 30.07 cm and the perimeter of the circle is 88.00 cm, the area of the circle is
(i)
590.00 sq.cm
(ii)
616.00 sq.cm
(iii)
634.00 sq.cm
(iv)
598.00 sq.cm
(v)
621.00 sq.cm
Assignment Key
1) (i)
2) (iii)
3) (v)
4) (v)
5) (v)
6) (iii)
7) (v)
8) (v)
9) (iii)
10) (v)
11) (ii)
12) (i)
13) (iv)
14) (iv)
15) (ii)
16) (iv)
17) (iv)
18) (iii)
19) (iii)
20) (v)
21) (iv)
22) (i)
23) (i)
24) (i)
25) (i)
26) (i)
27) (v)
28) (i)
29) (iv)
30) (iii)
31) (v)
32) (i)
33) (i)
34) (v)
35) (v)
36) (v)
37) (i)
38) (iv)
39) (iii)
40) (iii)
41) (iii)
42) (v)
43) (iv)
44) (ii)
45) (iii)
46) (i)
47) (ii)
48) (ii)
49) (ii)
