The area of the front face of the analog clock shown below is 50.24 square inches. The length of the minute hand is 0.25 inches less than the radius of the front face. What is the length of the arc the minute hand makes when it moves from the number 3 to the number 7 on the clock?
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OpenStudy (anonymous):
OpenStudy (anonymous):
anything?
OpenStudy (anonymous):
the radius of the minute hand is 3.75
OpenStudy (anonymous):
cause the circumfmerence of the whole clock is 16 pi
OpenStudy (kinggeorge):
First, you need to find the length of the arc from 3 to 7 on the outside edge of the clock. To do this, find the radius, and multiply by the angle in radians.
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OpenStudy (kinggeorge):
Now that you have the length of that arc, just multiply by 3/4.
OpenStudy (anonymous):
so the total is 11.25?
OpenStudy (anonymous):
My whole arc length was 15
OpenStudy (anonymous):
because the minute hand went 4 swings from 3 to 7
OpenStudy (anonymous):
you need to find angle between 3 and 7 which is 120
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