A crowd gathers around a movie star, forming a circle. The area taken up by the crowd increases at a rate of 4x ft/s. How fast is the radius of the crowd increasing when the radius is 8 feet?

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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A crowd gathers around a movie star, forming a circle. The area taken up by the crowd
increases at a rate of 4n ft/s. How fast is the radius of the crowd increasing when the
radius is 8 feet?
Transcribed Image Text:A crowd gathers around a movie star, forming a circle. The area taken up by the crowd increases at a rate of 4n ft/s. How fast is the radius of the crowd increasing when the radius is 8 feet?
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