# 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?

May 17, 2017

I got $12 \text{in}$

#### Explanation:

Consider the diagram:

We can use Pythagoras Theorem to the triangle of sides $h , 13 \mathmr{and} \frac{10}{2} = 5$ inches to get:

${13}^{2} = {h}^{2} + {5}^{2}$

rearranging:

$h = \sqrt{{13}^{2} - {5}^{2}} = 12 \text{in}$