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How do i solve this one

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Sagot :

Chetankachanaidn

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]
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