A spectator standing at the center of a circular running track observes a runner start a practice race 256 m due east of her own position (Figure 7.4). The runner runs on the track to the finish line, which is located north of the observer’s position. What is the distance of the run?

THINKING IT THROUGH. Note that the subtending angle of the section of the circular track is θ = 90°. The arc length (s) can be found since the radius r of the circle is known.

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Finish W N S E 256 m Start