Angle subtended by a chord on the major are of the circle is 50 degree. What is the angle subtended by the same chord on the centre of the circle?
Answer & explanation
Correct answer: option 1
So, the major arc for the PQ chord is PRQ.
Hence, \(\angle\)PRQ = \({50}^\circ\)
Here, \(\angle\)POQ is the angle subtended by the same chord, PQ on the center of the circle.
According tot the concept,
\(\angle\)POQ = 2 x \(\angle\)PRQ
= \(\angle\)POQ = 2 x \({50}^\circ\)
= \(\angle\)POQ = \({100}^\circ\)
Therefore, the angle subtended by the same chord on the center of the circle is \({100}^\circ\).