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

10-189.
  1. Given the points O(0, 0) and R(–5, –12): Homework Help ✎

    1. What is the equation of the circle centered at point O and passing through point R?

    2. What is the measure of the angle formed by and the positive x-axis? Answer in both radians and degrees.

    3. Graph your circle in part (a) and x2 + y2 = 144 on the same set of axes. Shade the region between the circles.

    4. 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:
(xh)2 + (yk)2 = r2

Use a trigonometric function to determine the angle θ.

Create a graph.

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