The minute hand of a certain clock is 6 in long. Starting from the moment when the hand is pointing straight up, how fast is the area of the sector that is swept out by the hand increasing at any instant during the next revolution of the hand? NOTE: Enter the exact answer. min Rate of the area change =

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...
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The minute hand of a certain clock is 6 in long. Starting from the
moment when the hand is pointing straight up, how fast is the area
of the sector that is swept out by the hand increasing at any instant
during the next revolution of the hand?
NOTE: Enter the exact answer.
in²
Rate of the area change
min
Transcribed Image Text:The minute hand of a certain clock is 6 in long. Starting from the moment when the hand is pointing straight up, how fast is the area of the sector that is swept out by the hand increasing at any instant during the next revolution of the hand? NOTE: Enter the exact answer. in² Rate of the area change min
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