Question

Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius. r. of the circle measured in inches is modeled by the function
r(s)=3 sqrt. S, where s is time in seconds.
The area of the spill when s=5 seconds is ___
Pi square inches.

Answer 1

Answer:

The area of the circle when s = 5 is 45π in²

Step-by-step explanation:

Given

r(s) = 3√s

Required

Area of he circle when s = 5

Provided that the oil spillage from the tanker forms a circle on the surface of the ocean, the area of the spill is calculated by the area of the circle.

Area = πr²

First, the value of r must be calculated

r = 3√s

When s = 5

r = 3√5 in

Substitute 3√5 for r in the equation of a circle.

A = πr² becomes

A = π(3√5)²

Open the bracket.

A = π * 3√5 * 3√5

A = π * 9 * 5

A = 45π

Hence, the area of the circle when s = 5 is 45π in²

Answer 2

Answer:

Area = 45π inches²

Step-by-step explanation:

Area of the circle = πr²

The radius of the circle measured in inches is modeled by the function.

r(s) = 3√s

where

s = time

Since

Area = πr²

A(s) = π(3√s)²

A(s) = 9πs

when

s = 5 seconds

Using the function  

A(s) = 9πs

A(s) = 9 × π × 5

Area = 45π inches²