“There is no chord of a circle that is longer than its diameter.” How do you verify this statement?
Explanation:
By the theorem, .
The diameter passes through .
The diameter passes through .
So, the perpendicular distance between the diameter and the centre is .
Therefore, every chord of a circle is either , if it passes through the centre, or .
Hence, there is no chord of a circle longer than its diameter.
Hence, there is no chord of a circle longer than its diameter.