The radius of the circle is the distance from the center to the point.
The radius of the circle is 17 units
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
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