Answer:
900π
Step-by-step explanation:
Hello!
Radius
The radius is represented by the function [tex]r(t) = 15\sqrt{t +2}[/tex].
The radius of the ripple can be found when [tex]t=2[/tex]
Solve:
- [tex]r(t) = 15\sqrt{t + 2[/tex]
- [tex]r(2) = 15\sqrt{2 +2}[/tex]
- [tex]r(2) = 15\sqrt4[/tex]
- [tex]r(2) = 15*2[/tex]
- [tex]r(2) = 30[/tex]
The radius of the ripple is 30 inches
Area
The area of a circle is calculated by the formula [tex]A = \pi r ^2[/tex]
Given the radius is 30, we can find the area of the circle.
Solve:
- [tex]A = \pi r^2[/tex]
- [tex]A = \pi (30^2)[/tex]
- [tex]A = 900\pi\\[/tex]
