Question

In the given figure, O is the centre of the circle and ∠BAC= 20°, ∠BOC is ______.

पर्याय

• 40°

• 30°

• 10°

• 20°

Answer 1

In the given figure, O is the centre of the circle and ∠BAC= 20°, ∠BOC is 40°.

Explanation:

Angle BAC is an inscribed angle that subtends arc BCBCBC.
The central angle BOC subtending the same arc is twice the inscribed angle.

So,

∠BOC = 2 × ∠BAC

= 2 × 20°

= 40°.