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Converting Angle Measures Between Degrees and Radians in Real-Life Applications

This quiz challenges students to rewrite angle measures using different units, specifically converting between degrees and radians. It includes practical problems such as finding the distance a wrench's end moves when turned through an angle of 1.5 radians, given that the wrench is 14 inches long. Additionally, it explores the motion of a jogger running 100 meters on a circular track with a radius of 40 meters, requiring the calculation of the angle moved in both radians and degrees. Perfect for reinforcing knowledge in algebra and geometry.

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Converting Angle Measures Between Degrees and Radians in Real-Life Applications

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  1. Algebra II 13-3 quiz Rewrite each angle measure using the other unit, either degrees or radians. 225O ∏/2 radians A wrench turns through an angle of 1.5 radians. If the wrench is 14 in. long, what is the distance that the end of the wrench moves? A jogger runs 100 m around a circular track with a radius of 40m. Through what angle does a jogger move? Express your answer in both radians and degrees.

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