Question

The radius of a circle is 8cm and the length of one of it chord is 12cm find the distance of the chord from the center

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
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