A circle is growing, its radius increasing by 4 mm per second. Find the rate at which the area is changing at the moment when the radius is 6 mm. When the radius is 6 mm, the area is changing at approximately (Round to the nearest thousandth as needed.) 2 mm². second(s). 2 second(s) per mm². mm² per second.

A circle is growing, its radius increasing by 4 mm per second. Find the rate at which the area is changing at the moment when the radius is 6 mm. When the radius is 6 mm, the area is changing at approximately (Round to the nearest thousandth as needed.) 2 mm². second(s). 2 second(s) per mm². mm² per second.

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...

See similar textbooks

Similar questions

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in 6 s. At what rate, in feet per second, is a horse on the outer edge moving?
A plug gage tapers 3.10 mm along a 38.00 mm length, as shown in Figure 215. Set up a proportion and determine the amount of taper in the workpiece for each of the following problems. Express the answers to 2 decimal places.