Question

1) Radius of a circle is 5cm.The length of achord of the circle is 8cm.Find the distance of the chord from the circle.​

Answer 1

Answer:

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