Question

A chord is 28 inches long in a circle with a

radius of 50 inches. Find the distance the
chord is from the center of the circle.
Distance=

Answer 1

Given that,

Length of a chord = 28 inches

Radius of the circle = 50 inches

To find,

The distance the chord from the center of the circle.

Solution,

Let the distance from the chord to the centre of circle is x.

It is denoted by OM.

Using Pythagoras theorem to find it.

`50^2=28^2+x^2\\\\x=√(50^2-28^2) \\\\x=41.42\ \text{inches}`

So, the distance from the chord to the centre of circle 41.42 inches