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, where s is time in seconds.

The area of the spill when seconds is _ pi square inches.

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√S, where s is time in seconds.

The area of the spill when s=5 seconds is ___ π square inches.

Answer:

Area of the circle = 45π square inches

Step-by-step explanation:

Given

r (s) = 3√s

s = 5

Required

Area of the circle in terms of π

Provided that r represents radius and it's a function of time, s.

When s = 5

r (s) = 3√s becomes

r (5) = 3√5 inch

This will represent the value of radius when s is 5.

The area of a circle is calculated as thus:

Area = πr²

Recall that r = 3√5 inch

So,

Area becomes

Area = π * (3√5) ²

Area = π * 3√5 * 3√5

Area = π * 9 * 5

Area = π * 45

Area = 45π

Hence, when s = 5, r = 3√5 and area of the circle is 45π square inches