Question

8: In circle, angle subtended by a chord in center is

double the angle subtended by any other chord

half of the angle subtended by any other chord

equal to the angle subtended by any other chord

none of these​

Answer 1

Answer:

In △OAB

∵OA=OB=AB [AB is the chord equal to the radius of the circle]

∴△OAB is a equilateral triangle

∠AOB=60

o

We know that the angle subtended by an arc at the centre is double the angle subtended by it at a any point on the remaining part of the circle

∴∠ACB=

2

1

∠AOB

=

2

1

×60

=30

o

∵ADBC is a cyclic quadrilateral

∴∠ADB+∠ACB=180

o

[The sum of either pair of opposite angles of a cyclic quadrilateral is 180

o

]

∠ADB+30

o

=180

o

⇒∠ADB=180

o

−30

o

∠ADB=150

o

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Answer 2

Step-by-step explanation:

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