Question

How do i solve this one

Answer 1

900π

Explanation:

Hello!

Radius

The radius is represented by the function
`r(t) = 15√(t +2)`.

The radius of the ripple can be found when
`t=2`

Solve:

• 
  `r(t) = 15\sqrt{t + 2`
• 
  `r(2) = 15√(2 +2)`
• 
  `r(2) = 15\sqrt4`
• 
  `r(2) = 15*2`
• 
  `r(2) = 30`

The radius of the ripple is 30 inches

Area

The area of a circle is calculated by the formula
`A = \pi r ^2`

Given the radius is 30, we can find the area of the circle.

Solve:

• 
  `A = \pi r^2`
• 
  `A = \pi (30^2)`
• 
  `A = 900\pi\\`