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The area, A of 2 semi-circles separated by a fixed length can be expressed as a quadratic equation provided the perimeter of the shape, P is known: A = -ar² + Pr (1) Consider an application of this equation where a pool is to be constructed as shown below with the following dimensions: 1 Figure 1: Top view of a pool design. a) Derive an equation for the perimeter of the pool, P in terms of 1 and r.

The area, A of 2 semi-circles separated by a fixed length can be expressed as a quadratic equation provided the perimeter of the shape, P is known: A = -ar² + Pr (1) Consider an application of this equation where a pool is to be constructed as shown below with the following dimensions: 1 Figure 1: Top view of a pool design. a) Derive an equation for the perimeter of the pool, P in terms of 1 and r.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The area, A of 2 semi-circles separated by a fixed length can be expressed as a quadratic equation provided the perimeter of the shape, P is known: A = -лr² + Pr (1) Consider an application of this equation where a pool is to be constructed as shown below with the following dimensions: 1 Figure 1: Top view of a pool design. a) Derive an equation for the perimeter of the pool, P in terms of 1 and r.
Transcribed Image Text:The area, A of 2 semi-circles separated by a fixed length can be expressed as a quadratic equation provided the perimeter of the shape, P is known: A = -лr² + Pr (1) Consider an application of this equation where a pool is to be constructed as shown below with the following dimensions: 1 Figure 1: Top view of a pool design. a) Derive an equation for the perimeter of the pool, P in terms of 1 and r.
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Hence, or otherwise show that A = -²+ Pr.
Transcribed Image Text:Hence, or otherwise show that A = -²+ Pr.
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b) Express the area of the pool, A in terms of I and r. c) Hence, or otherwise show that A = −²+ Pr.
Transcribed Image Text:b) Express the area of the pool, A in terms of I and r. c) Hence, or otherwise show that A = −²+ Pr.
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