After rebuilding the resort complex, Wingbolt industries has decided to install a circular lazy river. They would like to know exact radius needed to create a lazy river with a surface area of 10,000sqft to 30,000sqft. To model the situation, they use two circles C1 and C2 af radius r1 and r2 respectively, r1>r2. Using the same center point (0,0); C2 is inscribed in C1. The area of the lazy river is given by subtracting the area of the smaller circle from the largerA(r1,r2) = pi * (r12) - pi * (r22)They have specified that r1=3r2. Create a function F(r1) by subtituting this relation into the area formula above. What does F(r1) represent?Find the inverse function. What does the inverse function represent? How can we use it to address the company's question?

Plug this in the given equation. Answer(a) F(r1) represents the area of the lazy river.

Answered: After rebuilding the resort complex,…

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...

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After rebuilding the resort complex, Wingbolt industries has decided to install a circular lazy river. They would like to know exact radius needed to create a lazy river with a surface area of 10,000sqft to 30,000sqft. To model the situation, they use two circles C₁and C₂ af radius r₁ and r₂ respectively, r₁>r₂. Using the same center point (0,0); C₂is inscribed in C₁. The area of the lazy river is given by subtracting the area of the smaller circle from the larger

A(r₁,r₂) = pi * (r₁²) - pi * (r₂²)

They have specified that r₁=3r₂. Create a function F(r₁) by subtituting this relation into the area formula above.

What does F(r₁) represent?
Find the inverse function. What does the inverse function represent? How can we use it to address the company's question?

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