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In a circle with centre
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
In a circle with centre
O
O
O
, two chords
A
B
AB
A
B
and
C
D
CD
C
D
are equal. The central angles they subtend are given by
∠
A
O
B
=
(
3
x
+
10
)
∘
,
∠
C
O
D
=
(
5
x
−
26
)
∘
.
\angle AOB = (3x + 10)^{\circ}, \qquad \angle COD = (5x - 26)^{\circ}.
∠
A
O
B
=
(
3
x
+
10
)
∘
,
∠
C
O
D
=
(
5
x
−
26
)
∘
.
(i) Find the value of
x
x
x
. (ii) Hence calculate the common measure of the two central angles.
Related theory
Chord Properties
Circles
Equal chords and their distances
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