### Home > INT3 > Chapter 10 > Lesson 10.3.3 > Problem 10-189

Given the points

*O*(0, 0) and*R*(–5, –12): Homework Help ✎What is the equation of the circle centered at point

*O*and passing through point*R*?What is the measure of the angle formed by

and the positive *x*-axis? Answer in both radians and degrees.Graph your circle in part (a) and

*x*^{2}+*y*^{2}= 144 on the same set of axes. Shade the region between the circles.If we use these circles as a dart board and the dart is certain to hit randomly somewhere within the largest circle, what is the probability of hitting the shaded region?

Determine the radius of the circle.

*r* = 13

Use the general equation of a circle:

(*x* − *h*)^{2} + (*y* − *k*)^{2} = *r*^{2}

Use a trigonometric function to determine the angle *θ*.

Create a graph.

Determine the area of the shaded area and the total area.