A Chord of length 16 cm is drawn in a circle of radius 10 cm, find the distance of the chord from the center of the circle?
We can use the circle theorem along with the Pythagoras theorem to solve this problem.
Answer: If a chord of length 16 cm is drawn in a circle of radius 10 cm, the distance of the chord from the centre of the circle is 8 cm.
Let us proceed step by step.
Let us analyze the question through the given figure below.
AC = 12 cm [length of the given chord]
==> AB = 6 cm [total length of chord/2]
AO = 10 cm [Radius of the given circle]
From Pythagoras theorem,
AO² = OB² + AB²
10² = OB² + 6²
OB² = 100 - 36
OB² = 64
==> OB = 8