Question

A Chord of length 16 cm is drawn in a circle of diameter 20 cm . Calculate its distance from the centre of the circle . *​

Answer 1

Answer:

6 cm

Step-by-step explanation:

The length of the chord = 16cm

The radius of the circle = 10cm

When a perpendicular is drawn on the chord such that the chord is bisecting into two. Then the length of the chord will be halved, that is it becomes 8cm.

Using the Pythagorean theorem,

OA^2 = OC^2 + AC^2

10^2 = OC^2 + 8^2

100 = OC^2 + 64

OC^2 = 36

OC = 6cm

Therefore, the distance of the chord from the centre of the circle is 6cm.