Respuesta :

The radius of the circle is the distance from the center to the point.

The radius of the circle is 17 units

How to calculate the radius

From the question, we have the following points

Center = (0,0)

Point = (15,-8)

The radius is calculated using the following distance formula

So, we have:

[tex]r = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

This gives

[tex]r = \sqrt{(15 -0)^2 + (-8 -0)^2}[/tex]

Evaluate the squares

[tex]r = \sqrt{289}[/tex]

Evaluate the exponent

[tex]r = 17[/tex]

Hence, the radius of the circle is 17 units

Read more about circles and radius at:

https://brainly.com/question/1548782

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