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The radius of a circle is decreasing at a rate of 5 mm/s. At what rate is the area of the circle decreasing when the radius is 10 mm? At what rate is the area of the circle decreasing when the area is 367 mm²?

The radius of a circle is decreasing at a rate of 5 mm/s. At what rate is the area of the circle decreasing when the radius is 10 mm? At what rate is the area of the circle decreasing when the area is 367 mm²?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.CT: Test
Problem 12CT
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8. The radius of a circle is decreasing at a rate of 5 mm/s. At what rate is the area of the circle decreasing when the radius is 10 mm? At what rate is the area of the circle decreasing when the area is 367 mm²?
Transcribed Image Text:8. The radius of a circle is decreasing at a rate of 5 mm/s. At what rate is the area of the circle decreasing when the radius is 10 mm? At what rate is the area of the circle decreasing when the area is 367 mm²?
Expert Solution
Step 1

Area of a circle with radius r is given by the equationA=πr2

 

As per the question the radius of the circle is decreasing at a rate of 5 mm/s⇒drdt=5 mm/s          Equation 1

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