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A chord of a circle is equal to the r...

A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

A

`150^@`

B

`180^@`

C

`160^@`

D

`170^@`

Text Solution

Verified by Experts

The correct Answer is:
A
`/_ACB` is the angle subtended by chord AB on the major are
`/_AOB` is a equateral triangle
AB=AO=OB `/_AOB=60^0`
`/_ACB=1/2/_AOB`
`/_ACB=1/2*60^0=30^0`
angle subtended by are ACB at centre
=reflex`/_AOB`
=`360^0-60^0=300^0`
...
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