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Class VI
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Class X
ICSE Grade X - Angle Properties of a Circle
Question
1
1.
The angle subtended by the diameter at any point on the circle is
95°
120°
105°
90°
100°
Question
2
2.
In the given figure, O is the centre of the circle. If ∠EHF = 82° and ∠EDG = 65°, find ∠DGF
38°
63°
43°
48°
33°
Question
3
3.
In the given figure, chords BD & CE meet at F. Given x = 118° and y = 36°, find ∠CBD
97°
87°
92°
82°
112°
Question
4
4.
In the given figure, find the angles of the quadrilateral.
D
=
76°
,
E
=
90°
,
F
=
104°
,
G
=
90°
D
=
73°
,
E
=
90°
,
F
=
107°
,
G
=
90°
D
=
75°
,
E
=
90°
,
F
=
105°
,
G
=
90°
D
=
74°
,
E
=
90°
,
F
=
106°
,
G
=
90°
D
=
77°
,
E
=
90°
,
F
=
103°
,
G
=
90°
Question
5
5.
In the given figure, ∠OEB = 45° & ∠DCB = 40°, find ∠OFE
40°
25°
35°
30°
55°
Question
6
6.
In the given figure, O is the centre of the circle . If ∠GJH = 74° and ∠GFI = 67°, find ∠FKG
28°
43°
38°
33°
58°
Question
7
7.
O is the centre of the circle.
If
∠F
+
∠GOH = 115.5°
,
find
∠GOH
77°
92°
107°
82°
87°
Question
8
8.
In the given figure, O is the centre of the circle and EH is a diameter. If ∠GHD = 95° and ∠DEH = 60°, find ∠EFG
125°
120°
145°
130°
115°
Question
9
9.
In the given figure, O is the centre of the circle. If ∠CDO = 26° and ∠OFC = 24°, find ∠DEF
130°
140°
135°
145°
160°
Question
10
10.
Which of the following statements are true?
a)
Angle subtended in the major segment is obtuse.
b)
Angle subtended by the major arc in its alternate segment is obtuse.
c)
If two chords are equal, then they are equidistant from the centre of the circle.
d)
Angle subtended by the major arc at the centre is acute.
e)
The angle subtended in a semicircle is a right angle.
{a,b}
{a,b,c}
{d,c}
{b,c,e}
{a,d,e}
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