Respuesta :

Answer:

The radius is 9.9 units

Step-by-step 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

[tex]AC^2=AB^2+BC^2[/tex]

substitute the given values

[tex]18^2=AB^2+15^2[/tex]

solve for AB

[tex]AB^2=18^2-15^2\\AB^2=99\\AB=9.9\ units[/tex]

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

therefore

The radius is 9.9 units

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