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
