1
Question
Angles subtended by equal chords at the centre of the circle are
Angles subtended by equal chords at the centre of the circle are
Open in App
Solution
The correct option is B equal
Consider the above diagram of a circle with centre O.
PQ and RS are equal chords of the circle.
The angle subtended by chord PQ at the center of circle is ∠POQ.
The angle subtended by chord RS at the center of circle is ∠ROS.
In △s POQ and ROS, we have
PQ = RS (Given)
OP = OR (Radii of the same circle), and
OQ = OS.
Thus, by SSS congruency criterion, △POQ=△ROS.
By C.P.C.T., ∠POQ=∠ROS.
Consider the above diagram of a circle with centre O. PQ and RS are equal chords of the circle.
The angle subtended by chord PQ at the center of circle is ∠POQ.
The angle subtended by chord RS at the center of circle is ∠ROS.
In △s POQ and ROS, we have
PQ = RS (Given)
OP = OR (Radii of the same circle), and
OQ = OS.
Thus, by SSS congruency criterion, △POQ=△ROS.
By C.P.C.T., ∠POQ=∠ROS.
Suggest Corrections
1
Similar questions
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
