Chapter 9.4, Problem 4CE

To determine

The radius of the circle OA from the figure.

Answer to Problem 4CE

The radius of the circle is 10.

Explanation of Solution

Given information:

The given figure is

  

Here, in the figure

AB=16, OM=6 and AB=2AM

So AM=8

Using Pythagoras theorem.

  $\begin{array}{c}{h}^2=p^2+b^2\\ {\left(OA\right)}^2={\left(OM\right)}^2+{\left(AM\right)}^2\\ {\left(OA\right)}^2={\left(6\right)}^2+{\left(8\right)}^2\\ {\left(OA\right)}^2=36+64\\ OA=\sqrt{100}\\ OA=10\end{array}$

Therefore, radius of the circle is 10.