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 11.00 cm and the angle subtended at the center by the arc of a sector is 52.00°, the length of the arc of the sector is
(i)
7.99 cm
(ii)
11.99 cm
(iii)
10.99 cm
(iv)
9.99 cm
(v)
8.99 cm
Question
2
2.
If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 149.00°, the area of the sector is
(i)
174.40 sq.cm
(ii)
141.40 sq.cm
(iii)
133.40 sq.cm
(iv)
157.40 sq.cm
(v)
160.40 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 35.00°, the perimeter of the sector is
(i)
33.72 cm
(ii)
31.72 cm
(iii)
23.72 cm
(iv)
25.72 cm
(v)
28.72 cm
Question
4
4.
If the radius of a circle is 13.00 cm and the angle subtended at the center by the arc of a sector is 126.00°, the area of the circle is
(i)
547.14 sq.cm
(ii)
558.14 sq.cm
(iii)
514.14 sq.cm
(iv)
523.14 sq.cm
(v)
531.14 sq.cm
Question
5
5.
If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 166.00°, the perimeter of the circle is
(i)
75.43 cm
(ii)
70.43 cm
(iii)
72.43 cm
(iv)
78.43 cm
(v)
80.43 cm
Question
6
6.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 27.94 cm, the angle subtended at the center by the arc of the sector is
(i)
167.00°
(ii)
174.00°
(iii)
160.00°
(iv)
143.00°
(v)
145.00°
Question
7
7.
If the radius of a circle is 14.00 cm and the length of the arc of a sector is 37.40 cm, the area of the sector is
(i)
289.80 sq.cm
(ii)
256.80 sq.cm
(iii)
237.80 sq.cm
(iv)
268.80 sq.cm
(v)
261.80 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 31.43 cm, the perimeter of the sector is
(i)
60.43 cm
(ii)
50.43 cm
(iii)
58.43 cm
(iv)
52.43 cm
(v)
55.43 cm
Question
9
9.
If the radius of a circle is 10.00 cm and the length of the arc of a sector is 21.48 cm, the area of the circle is
(i)
306.29 sq.cm
(ii)
314.29 sq.cm
(iii)
301.29 sq.cm
(iv)
331.29 sq.cm
(v)
328.29 sq.cm
Question
10
10.
If the radius of a circle is 11.00 cm and the length of the arc of a sector is 8.64 cm, the perimeter of the circle is
(i)
64.14 cm
(ii)
69.14 cm
(iii)
74.14 cm
(iv)
72.14 cm
(v)
66.14 cm
Question
11
11.
If the radius of a circle is 11.00 cm and the area of a sector is 155.29 sq.cm, the angle subtended at the center by the arc of the sector is
(i)
170.00°
(ii)
147.00°
(iii)
129.00°
(iv)
152.00°
Question
12
12.
If the radius of a circle is 10.00 cm and the area of a sector is 52.38 sq.cm, the length of the arc of the sector is
(i)
7.48 cm
(ii)
13.48 cm
(iii)
10.48 cm
(iv)
5.48 cm
(v)
15.48 cm
Question
13
13.
If the radius of a circle is 10.00 cm and the area of a sector is 122.22 sq.cm, the perimeter of the sector is
(i)
39.45 cm
(ii)
44.45 cm
(iii)
41.45 cm
(iv)
47.45 cm
(v)
49.45 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)
402.29 sq.cm
(ii)
387.29 sq.cm
(iii)
376.29 sq.cm
(iv)
364.29 sq.cm
(v)
380.29 sq.cm
Question
15
15.
If the radius of a circle is 15.00 cm and the area of a sector is 94.29 sq.cm, the perimeter of the circle is
(i)
91.29 cm
(ii)
99.29 cm
(iii)
94.29 cm
(iv)
97.29 cm
(v)
89.29 cm
Question
16
16.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 51.22 cm, the angle subtended at the center by the arc of the sector is
(i)
90.00°
(ii)
92.00°
(iii)
95.00°
(iv)
98.00°
(v)
100.00°
Question
17
17.
If the radius of a circle is 10.00 cm and the perimeter of a sector is 33.10 cm, the length of the arc of the sector is
(i)
8.10 cm
(ii)
13.10 cm
(iii)
18.10 cm
(iv)
16.10 cm
(v)
10.10 cm
Question
18
18.
If the radius of a circle is 14.00 cm and the perimeter of a sector is 47.80 cm, the area of the sector is
(i)
124.60 sq.cm
(ii)
143.60 sq.cm
(iii)
138.60 sq.cm
(iv)
126.60 sq.cm
(v)
161.60 sq.cm
Question
19
19.
If the radius of a circle is 15.00 cm and the perimeter of a sector is 66.93 cm, the area of the circle is
(i)
707.14 sq.cm
(ii)
733.14 sq.cm
(iii)
692.14 sq.cm
(iv)
720.14 sq.cm
(v)
685.14 sq.cm
Question
20
20.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 39.67 cm, the perimeter of the circle is
(i)
72.14 cm
(ii)
64.14 cm
(iii)
74.14 cm
(iv)
66.14 cm
(v)
69.14 cm
Question
21
21.
If the area of a sector of a circle is 116.11 sq.cm and the angle subtended at the center by the arc of the sector is 133.00°, the radius of the circle is
(i)
10.00 cm
(ii)
5.00 cm
(iii)
7.00 cm
(iv)
15.00 cm
(v)
13.00 cm
Question
22
22.
If the area of a sector of a circle is 61.97 sq.cm and the angle subtended at the center by the arc of the sector is 42.00°, the length of the arc of the sector is
(i)
9.53 cm
(ii)
10.53 cm
(iii)
11.53 cm
(iv)
8.53 cm
(v)
7.53 cm
Question
23
23.
If the area of a sector of a circle is 125.72 sq.cm and the angle subtended at the center by the arc of the sector is 144.00°, the perimeter of the sector is
(i)
40.14 cm
(ii)
42.14 cm
(iii)
50.14 cm
(iv)
48.14 cm
(v)
45.14 cm
Question
24
24.
If the area of a sector of a circle is 106.86 sq.cm and the angle subtended at the center by the arc of the sector is 85.00°, the area of the circle is
(i)
457.57 sq.cm
(ii)
475.57 sq.cm
(iii)
428.57 sq.cm
(iv)
452.57 sq.cm
(v)
434.57 sq.cm
Question
25
25.
If the area of a sector of a circle is 45.42 sq.cm and the angle subtended at the center by the arc of the sector is 43.00°, the perimeter of the circle is
(i)
66.14 cm
(ii)
74.14 cm
(iii)
64.14 cm
(iv)
72.14 cm
(v)
69.14 cm
Question
26
26.
If the area of a sector of a circle is 77.70 sq.cm and the length of the arc of the sector is 15.54 cm, the radius of the circle is
(i)
7.00 cm
(ii)
15.00 cm
(iii)
13.00 cm
(iv)
5.00 cm
(v)
10.00 cm
Question
27
27.
If the area of a sector of a circle is 73.33 sq.cm and the length of the arc of the sector is 14.67 cm, the angle subtended at the center by the arc of the sector is
(i)
84.00°
(ii)
87.00°
(iii)
79.00°
(iv)
81.00°
(v)
89.00°
Question
28
28.
If the area of a sector of a circle is 198.63 sq.cm and the length of the arc of the sector is 33.11 cm, the perimeter of the sector is
(i)
52.11 cm
(ii)
60.11 cm
(iii)
62.11 cm
(iv)
57.11 cm
(v)
54.11 cm
Question
29
29.
If the area of a sector of a circle is 110.87 sq.cm and the length of the arc of the sector is 22.18 cm, the area of the circle is
(i)
320.29 sq.cm
(ii)
314.29 sq.cm
(iii)
331.29 sq.cm
(iv)
302.29 sq.cm
Question
30
30.
If the area of a sector of a circle is 280.89 sq.cm and the length of the arc of the sector is 37.45 cm, the perimeter of the circle is
(i)
94.29 cm
(ii)
91.29 cm
(iii)
89.29 cm
(iv)
99.29 cm
(v)
97.29 cm
Question
31
31.
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 radius of the circle is
(i)
20.00 cm
(ii)
10.00 cm
(iii)
15.00 cm
(iv)
18.00 cm
(v)
12.00 cm
Question
32
32.
If the area of a sector of a circle is 142.06 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)
136.00°
(ii)
105.00°
(iii)
113.00°
(iv)
97.00°
(v)
117.00°
Question
33
33.
If the area of a sector of a circle is 59.37 sq.cm and the area of the circle is 314.29 sq.cm, the length of the arc of the sector is
(i)
14.87 cm
(ii)
6.87 cm
(iii)
16.87 cm
(iv)
8.87 cm
(v)
11.87 cm
Question
34
34.
If the area of a sector of a circle is 63.73 sq.cm and the area of the circle is 314.29 sq.cm, the perimeter of the sector is
(i)
32.75 cm
(ii)
29.75 cm
(iii)
27.75 cm
(iv)
37.75 cm
(v)
35.75 cm
Question
35
35.
If the area of a sector of a circle is 194.86 sq.cm and the area of the circle is 452.57 sq.cm, the perimeter of the circle is
(i)
70.43 cm
(ii)
80.43 cm
(iii)
78.43 cm
(iv)
72.43 cm
(v)
75.43 cm
Question
36
36.
If the length of the arc of a sector is 29.58 cm and the angle subtended at the center by the arc of the sector is 121.00°, the radius of the circle is
(i)
19.00 cm
(ii)
14.00 cm
(iii)
9.00 cm
(iv)
17.00 cm
(v)
11.00 cm
Question
37
37.
If the length of the arc of a sector is 14.98 cm and the angle subtended at the center by the arc of the sector is 66.00°, the area of the sector is
(i)
97.38 sq.cm
(ii)
94.38 sq.cm
(iii)
92.38 sq.cm
(iv)
102.38 sq.cm
(v)
100.38 sq.cm
Question
38
38.
If the length of the arc of a sector is 32.48 cm and the angle subtended at the center by the arc of the sector is 155.00°, the perimeter of the sector is
(i)
59.48 cm
(ii)
61.48 cm
(iii)
56.48 cm
(iv)
51.48 cm
(v)
53.48 cm
Question
39
39.
If the length of the arc of a sector is 27.66 cm and the angle subtended at the center by the arc of the sector is 132.00°, 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
40
40.
If the length of the arc of a sector is 14.21 cm and the area of the circle is 380.29 sq.cm, the radius of the circle is
(i)
14.00 cm
(ii)
16.00 cm
(iii)
6.00 cm
(iv)
8.00 cm
(v)
11.00 cm
Question
41
41.
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 angle subtended at the center by the arc of the sector is
(i)
92.00°
(ii)
95.00°
(iii)
90.00°
(iv)
100.00°
(v)
98.00°
Question
42
42.
If the length of the arc of a sector is 22.18 cm and the area of the circle is 314.29 sq.cm, the area of the sector is
(i)
110.87 sq.cm
(ii)
118.87 sq.cm
(iii)
82.87 sq.cm
(iv)
103.87 sq.cm
(v)
125.87 sq.cm
Question
43
43.
If the length of the arc of a sector is 17.02 cm and the area of the circle is 707.14 sq.cm, the perimeter of the sector is
(i)
52.02 cm
(ii)
47.02 cm
(iii)
42.02 cm
(iv)
44.02 cm
(v)
50.02 cm
Question
44
44.
If the length of the arc of a sector is 16.76 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)
97.29 cm
(iv)
94.29 cm
(v)
89.29 cm
Question
45
45.
If the length of the arc of a sector is 27.06 cm and the perimeter of the circle is 62.86 cm, the radius of the circle is
(i)
13.00 cm
(ii)
15.00 cm
(iii)
10.00 cm
(iv)
7.00 cm
(v)
5.00 cm
Question
46
46.
If the length of the arc of a sector is 32.51 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)
120.00°
(ii)
133.00°
(iii)
151.00°
(iv)
147.00°
(v)
108.00°
Question
47
47.
If the length of the arc of a sector is 23.96 cm and the perimeter of the circle is 88.00 cm, the area of the sector is
(i)
184.69 sq.cm
(ii)
179.69 sq.cm
(iii)
167.69 sq.cm
(iv)
162.69 sq.cm
(v)
145.69 sq.cm
Question
48
48.
If the length of the arc of a sector is 5.24 cm and the perimeter of the circle is 62.86 cm, the perimeter of the sector is
(i)
28.24 cm
(ii)
22.24 cm
(iii)
30.24 cm
(iv)
25.24 cm
(v)
20.24 cm
Question
49
49.
If the length of the arc of a sector is 8.62 cm and the perimeter of the circle is 81.71 cm, the area of the circle is
(i)
558.14 sq.cm
(ii)
518.14 sq.cm
(iii)
536.14 sq.cm
(iv)
507.14 sq.cm
(v)
531.14 sq.cm
Assignment Key
1) (iv)
2) (iv)
3) (v)
4) (v)
5) (i)
6) (iii)
7) (v)
8) (v)
9) (ii)
10) (ii)
11) (ii)
12) (iii)
13) (ii)
14) (v)
15) (iii)
16) (iii)
17) (ii)
18) (iii)
19) (i)
20) (v)
21) (i)
22) (i)
23) (v)
24) (iv)
25) (v)
26) (v)
27) (i)
28) (iv)
29) (ii)
30) (i)
31) (iii)
32) (iii)
33) (v)
34) (i)
35) (v)
36) (ii)
37) (i)
38) (iii)
39) (i)
40) (v)
41) (ii)
42) (i)
43) (ii)
44) (iv)
45) (iii)
46) (ii)
47) (iii)
48) (iv)
49) (v)
