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In a circle with centre
MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles
Problem
In a circle with centre
O
O
O
, chords
A
B
AB
A
B
and
C
D
CD
C
D
are equal in length. The chord
A
B
AB
A
B
subtends a central angle
∠
A
O
B
=
(
6
x
+
12
)
∘
\angle AOB = (6x+12)^{\circ}
∠
A
O
B
=
(
6
x
+
12
)
∘
. The chord
C
D
CD
C
D
subtends an angle
∠
C
E
D
=
(
4
x
−
8
)
∘
\angle CED = (4x-8)^{\circ}
∠
C
E
D
=
(
4
x
−
8
)
∘
at a point
E
E
E
on the circumference. (i) Value of
x
x
x
(ii) Measure of
∠
A
O
B
\angle AOB
∠
A
O
B
Related theory
Circles
Circle angle properties
Angle subtended by a chord
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