Chapter 9.4, Problem 4WE

To determine

The radius of the circle OA from the figure.

Answer to Problem 4WE

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.