Question

The radius of a circle is 13 inches and the length of a chord in the circle is 10 inches. How do you find the distance from the center of the circle to the chord?

Answer 1

I got `12"in"`

Explanation:

Consider the diagram:

We can use Pythagoras Theorem to the triangle of sides `h, 13 and 10/2=5` inches to get:

`13^2=h^2+5^2`

rearranging:

`h=sqrt(13^2-5^2)=12"in"`