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Class X
CBSE Grade X - Area Related to Circles
Question
1
1.
If the length of the arc of a sector is 28.64 cm and the angle subtended at the center by the arc of the sector is 164.00°, the radius of the circle is
7.00 cm
15.00 cm
10.00 cm
13.00 cm
5.00 cm
Question
2
2.
If the length of the arc of a sector is 14.67 cm and the perimeter of the circle is 62.86 cm, the area of the sector is
78.33 sq.cm
76.33 sq.cm
70.33 sq.cm
73.33 sq.cm
68.33 sq.cm
Question
3
3.
If the radius of a circle is 10.00 cm and the area of a sector is 117.86 sq.cm, the length of the arc of the sector is
23.57 cm
20.57 cm
28.57 cm
18.57 cm
26.57 cm
Question
4
4.
In the given figure ,PQRS is the diameter of the circle of radius 10.50 cm and PQ = QR = RS. Find the area of the shaded region
99.50 sq.cm
110.50 sq.cm
138.50 sq.cm
132.50 sq.cm
115.50 sq.cm
Question
5
5.
If diameter of the circle is 20.00 cm, the radius of the circle is
13.00 cm
10.00 cm
5.00 cm
15.00 cm
7.00 cm
Question
6
6.
In the given figure, ABCD is a square of side 8.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region
226.86 sq.cm
231.86 sq.cm
214.86 sq.cm
199.86 sq.cm
206.86 sq.cm
Question
7
7.
If area of the circle is 78.57 sq.cm, the area of the semicircle is
34.29 sq.cm
39.29 sq.cm
42.29 sq.cm
36.29 sq.cm
44.29 sq.cm
Question
8
8.
If circumference of the circle is 31.43 cm, the perimeter of the semicircle is
25.71 cm
28.71 cm
30.71 cm
20.71 cm
22.71 cm
Question
9
9.
If the area of a sector of a circle is 66.35 sq.cm and the length of the arc of the sector is 13.27 cm, the perimeter of the circle is
59.86 cm
57.86 cm
65.86 cm
67.86 cm
62.86 cm
Question
10
10.
If the length of the arc of a sector is 31.85 cm and the angle subtended at the center by the arc of the sector is 152.00°, the area of the sector is
208.09 sq.cm
167.09 sq.cm
203.09 sq.cm
186.09 sq.cm
191.09 sq.cm
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