Ask Question
MathematicsMathematics
8 December, 23:46

A stone is dropped into some water and a circle of radius r is formed and slowly expands. The perimeter of the circle is increasing at 3 m / s. At the moment the radius is exactly 2m, what rate is the radius of the circle increasing?

+2
Answers (2)
  1. 9 December, 00:38
    0
    I believe it would be 6 due to the radius being a half of the actual circumfrence
  2. 9 December, 01:50
    0
    The relation between perimeter and radius is P = 2 pi r

    dP/dr = 2pi

    dP/dt = 3

    when r = 2 dr/dt = dP/dt * dr/DP = 3 * 1/2pi = 0.477 m/s
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A stone is dropped into some water and a circle of radius r is formed and slowly expands. The perimeter of the circle is increasing at 3 m ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers
You Might be Interested in
Art drinks 2 quarts of milk every 3 days. How many days will it take him to drink 3 gallons of milk? How do I show my work?
Answers (2)
Jamal runs 1 2/5 miles a day to train a race. If he runs the same distance for 3 days a week, what is the distance he runs in one week?
Answers (1)
two garden plots are to have the same area. One is square and one is rectangle. the rectangle plot is 4 meters wide and 9 meters long. How large is one side of the square garden plot in meters?
Answers (1)
Dustin had five outstanding checks that totaled $117.54. What should his check register balance be if he had an ending balance of $599.43 and outstanding deposits that totaled $235.14?
Answers (1)
I have 4 consecutive integers whose sum is 52 how do i do this?
Answers (1)
New Questions in Mathematics
If h (x) = 6-x what is the value of (h*h) (10)
Answers (1)
a square pizza box has a width of 24 in. What is the area of the largest circular pizza that could fit in the box?
Answers (1)
The temperature of a city changed by - 15 degrees Celsius over a 5-week period. The temperature changed by the same amount each week. Write an expression to show the average change in the temperature of the city each week.
Answers (1)
The sum of a number and two is equal to the quotient of six and negative four
Answers (1)
17 divided by the quantity Z minus 34 what is the expression for the phase
Answers (1)
Home » Mathematics » A stone is dropped into some water and a circle of radius r is formed and slowly expands. The perimeter of the circle is increasing at 3 m / s. At the moment the radius is exactly 2m, what rate is the radius of the circle increasing?
Sign Up Forgot Password?