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anonymous
 5 years ago
The radius of a circle is increasing. At a certain instant, the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference. What is the radius of the circle at that instant?
anonymous
 5 years ago
The radius of a circle is increasing. At a certain instant, the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference. What is the radius of the circle at that instant?

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Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0if you let x be your radius, you can find both the area and the circumference as a function of x. can you do that ?

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0Now you want to know what "rate of increase in the area" and "rate of increase in the circumference" is algebraically.

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0I'm just going to assume that you are reading this. if you let the Area of the circle "A" then the rate of increase of A would be A'. More precisely, dA/dt since we are focusing on how fast the area is changing regarding at what time

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0similarly, if you let "C" be the circumference dC/dt would be the rate of increase at a certain time t where the unit is in meters/second.

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0Do you understand so far ?

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0let me know if you still need help

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0oh well here is answer radiuis = 2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is there a formula that i need to use to solve this?
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