SOLUTION: find the measure of the angle formed by the hands at each time. 3:00 4:00 3:30

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Question 214119: find the measure of the angle formed by the hands at each time.
3:00
4:00
3:30
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Find the measure of the angle formed by the hands at each time.
3:00
4:00
3:30

A circular clock has 360 degrees.

At 3:00 the angle is 90 degrees since 3/12=1/4 of a circle or 360/4=90 degrees.

At 4:00 the angle is 120 degrees since 4/12=1/3 of a circle or 360/3=120 degrees.

At 3:30 the angle is 110 since the time is halfway between 3:00 and 4:00 or the average between these two angles or %2890%2B120%29%2F2=110 degrees.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J