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23 October, 11:25

Celia is staring at the clock waiting for school to end so that she can go to track practice. She notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.

Part 1: How many radians does the minute hand move from 1:25 to 1:50? (Hint: Find the number of degrees per minute first.)

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  1. 23 October, 14:00
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    How many radians does the minute hand move from 1:25 to 1:50?

    Calculations are done as follows:

    360 ° / 60 minutes = 6 ° per minute

    1:25 to 1:50 = 25 minutes

    25 minutes x 6 ° per minute = 150 °

    150 ° (π / 180) = 5 π / 6
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