172k views
0 votes
Given that a circle has a radius of 4inches and then a radius of 12inches after it has expanded. Given that the formula for a circle is ()=2, what is the rate of change?

1 Answer

5 votes

Answer:

Rate of change = 3π or 9.43

Step-by-step explanation:

Given the following data;

Initial radius, R1 = 4 inches

Final radius, R2 = 12 inches

To find the rate of change;

First of all, we would determine the area of the circle.

Mathematically, the area of a circle is given by the formula;

Area of circle = πr²

For initial radius, R1;

Area of circle, A1 = πR1²

Area of circle, A1 = 4π square inches

For final radius, R2;

Area of circle, A2 = πR2²

Area of circle, A2 = 12π square inches

Now, we can find the rate of change;

Rate of change = A2/A1

Rate of change = 12π/4π

Rate of change = 3π (in terms of pie).

User Jeroen Ingelbrecht
by
7.9k points

Related questions

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories