Angle at the centre is double The Angle at circumference.
The angle subtended by an arc at the centre is twice the angle subtended at the circumference
The angle at the centre is double the angle at the circumference. Given : Given a Circle with centre O and a Chord HK To Prove Construction: Join OG, OH and OK. Extend HO to J Proof Let
Putting the values from (1) and (2) in (3) we Get
From (4) and (5 ) we Get Hence Proved. | ![]() |
Illustration: If A, B, M are three points on a circle with centre O such that and
Find
Solution: If A, B, M are three points on a circle with centre O such that Reflex of As angle at the centre is double the angle and the circumference. | ![]() |