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Class X
CBSE Grade X - Area Related to Circles
Question
1
1.
The major sector of the circle is
DFE
DGEHD
IDGEI
DGE
DFEHD
Question
2
2.
If the area of a sector of a circle is 136.89 sq.cm and the area of the circle is 616.00 sq.cm, the length of the arc of the sector is
16.56 cm
14.56 cm
22.56 cm
19.56 cm
24.56 cm
Question
3
3.
If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 31.00°, the area of the sector is
38.97 sq.cm
33.97 sq.cm
41.97 sq.cm
35.97 sq.cm
43.97 sq.cm
Question
4
4.
In the given figure, arcs of two concentric circles of radii 10.00 cm and 3.00 cm are drawn with center O. If ∠FOG = 80°, find the area of the shaded region
58.56 sq.cm
68.56 sq.cm
60.56 sq.cm
66.56 sq.cm
63.56 sq.cm
Question
5
5.
If area of the circle is 113.14 sq.cm, the circumference of the circle is
34.71 cm
32.71 cm
42.71 cm
37.71 cm
40.71 cm
Question
6
6.
If the length of the arc of a sector is 27.24 cm and the angle subtended at the center by the arc of the sector is 156.00°, the perimeter of the circle is
62.86 cm
65.86 cm
59.86 cm
67.86 cm
57.86 cm
Question
7
7.
If diameter of the circle is 18.00 cm, the perimeter of the semicircle is
51.29 cm
46.29 cm
41.29 cm
49.29 cm
43.29 cm
Question
8
8.
If the radius of a circle is 11.00 cm and the perimeter of a sector is 40.05 cm, the length of the arc of the sector is
21.05 cm
13.05 cm
18.05 cm
23.05 cm
15.05 cm
Question
9
9.
If the length of the arc of a sector is 19.64 cm and the angle subtended at the center by the arc of the sector is 75.00°, the area of the circle is
709.14 sq.cm
730.14 sq.cm
692.14 sq.cm
690.14 sq.cm
707.14 sq.cm
Question
10
10.
In the given figure, ABCD is a square of side 15.00 cm . At the centre there is a circle with radius 3.75 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.
148.61 sq.cm
136.61 sq.cm
120.61 sq.cm
143.61 sq.cm
123.61 sq.cm
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