# Suppose a chord is 20 inches long and is 24 inches from the center of the circle. How do you find the length of the radius?

##### 1 Answer

Mar 10, 2016

#### Answer:

#### Explanation:

A line segment from the 20" chord to the center of the circle is a perpendicular bisector of the chord creating a right triangle with legs of 10" and 24" with radius of the circle forming the hypotenuse.

We can use the Pythagorean theorem to solve for the radius.

a = 10"

b = 24"

c = ?"