Question

the radius of a circle is 8cm and the length of one of its chords is 12cm.find the distance of the chord from the centre

Answer 1

Draw a perpendicular on the given chord from the center of the circle

we know it divides the chord in to equal parts

Join the centre of circle and end point of the chord

you will get right angled triangle

let the distance be x
using Pythagorean theorem

8²=6²+x²

64=36+x²

x²=28

x=√28

x=2√7