Directions: Answer the given problem about unit circle. Show your complete solutions and box your final answer. A circular track field has 12 concrete posts positioned around it. The posts are positioned such that any two consecutive posts have an equal distance, as illustrated in the figure below. E C F A H K 1. If an athlete runs around the circular field in a counterclockwise direction starting from point A, find the distance (in radians) that he covers when he stops at each of the following points: a. b. K C. d. H e. L 2. At what point will the athlete be if he ran a distance of radians? Express the answer in degrees.

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