Find the length of a chord which is at a distance of 4 cm from the centre of the circle of radius 6 cm.

Question

Philoid · Accepted Answer

Radius of circle (OA) = 6 cm

Distance (OC) = 4 cm

In , by using Pythagoras theorem

AC² + OC² = OA²

AC² + 4² = 6²

AC² = 36 – 16

AC² = 20

AC = 4.47 cm

We know that,

The perpendicular distance from centre to chord bisects the chord

AC = BC = 4.47 cm

Then,

AB = 4.47 + 4.47

= 8.94 cm