Question

In the figure to the​ right, if ACequals16 and BCequals13​, what is the​ radius?

Answer 1

`√(87) \approx 9.33\: Units`

Explanation:

The figure is attached below.

In Right Triangle ABC, the length of the radius of the circle is |AB|

|AC|=16, |BC|=13

Using Pythagoras Theorem

`Hypotenuse^2=Opposite^2+Adjacent^2\\|AC|^2=|BC|^2+|AB|^2\\16^2=13^2+|AB|^2\\|AB|^2=16^2-13^2\\|AB|^2=87\\|AB|=√(87)\\|AB|= 9.33\: Units`

Radius of the Circle =9.33 Units.