1.2 Measurement of Segments and Angles. * There are many ways to find the measure of the angle formed by the hands of an analog clock. * You may use one.

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Presentation transcript:

1.2 Measurement of Segments and Angles

* There are many ways to find the measure of the angle formed by the hands of an analog clock. * You may use one of the methods shown or find your own method (that can be justified logically and mathematically)

1. Determine the rate of the hour hand. 2. Determine the rate of the minute hand.

3. Convert the total time to minutes and multiply by the hour rate. 4. Multiply the number of minutes by the minute rate. 5. Find the measure of the clock angles by taking the difference. Make sure this is the minor angle formed.

1. Long (minute) hand = 6°⁄min. Multiply #minutes by Short (hour) hand = #hours x 30° + “long”/12 because long had travels 12 times faster. 3. Measure of clock angle equals the difference. Remember to subtract from 360°, if not a minor angle.

* Each interval between numbers is 30°. * Determine the number of “whole” intervals between the hands. * Calculate the number of degrees for any fractional parts of intervals. The diagrams that follow illustrate this process.

60° 4:38 18º 11º = 89°

90° 4:38 18º = 89° 19º

11:14 = 107° 60° 24º 7º

6° 10:24 12º = 168° 150º

7:42 = 21° 9º 12° 21º

1:53 = 98.5° 60° 12º

12: – = 178.5° 150° 13.5º 18º 150º 12º =181.5°

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