FREE Trial

(a) Use the formula for the area of a circle of radius r, A = r 2...

Question:

(a) Use the formula for the area of a circle of radius r, A = πr2, to find dA∕dr.
(b) The result from part (a) should look familiar. What does dA∕dr represent geometrically?
(c) Use the difference quotient to explain the observation you made in part (b).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Answer rating: 50% (6 reviews)

a A r 2 dAdr 2r b This is the formula for the circumference of a circle c Ar ArAr fo...View the full answer


answer-question-section
Answered By
tutor-profile-image
Isaiah Mutinda
As a graduate with Bs in Maths and Computer Science and having worked as a freelance full stack software developer for 3 years running I believe I have what it takes to conformable tutor and mentor a student to a professional developer also.
5.00+ 2+ Reviews 10+ Question Solved
Related Book For  book-img-for-question
Applied Calculus

Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

See More Books
Question Posted:
See More Questions

Related Video

The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.

Students also viewed these Mathematics questions

Parametric Modeling With Autodesk Inventor 2019 1st Edition - ISBN: 1630571970 - Free Book