Question

In the figure to the​ right, if AC equals 18 and BC equals 15​, what is the​ radius?

Answer 1

The radius is 9.9 units

Explanation:

The picture of the question in the attached figure

we know that

In the right triangle of the figure ABC

Applying the Pythagorean Theorem

`AC^2=AB^2+BC^2`

substitute the given values

`18^2=AB^2+15^2`

solve for AB

`AB^2=18^2-15^2\\AB^2=99\\AB=9.9\ units`

Remember the the side AB of right triangle represent the radius of the circle

therefore

The radius is 9.9 units