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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. The central angles they subtend are
∠
A
O
B
=
(
3
x
+
15
)
∘
\angle AOB = (3x + 15)^{\circ}
∠
A
O
B
=
(
3
x
+
15
)
∘
and
∠
C
O
D
=
(
5
x
−
21
)
∘
\angle COD = (5x - 21)^{\circ}
∠
C
O
D
=
(
5
x
−
21
)
∘
. (a) Calculate the value of
x
x
x
. (b) Find the measure of each central angle.
Related theory
Chord Properties
Circles
Equal chords and their distances
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