Advertisements
Advertisements
Question
In the figure, O is the centre of the circle and ∠ACB = 40° then ∠AOB =
Options
80°
85°
70°
65°
MCQ
Solution
80°
Explanation;
Hint:
∠AOB = 2∠ACB ...(The angle subtended by an arc of the circle at the centre is double the angle subtended at the remaining part of the circle.)
= 2 × 40°
= 80°
shaalaa.com
Theorem: The angle subtended by an arc of the circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.
Is there an error in this question or solution?
