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 = -xr² + 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. b) Express the area of the pool, A 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 = -xr² + 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. b) Express the area of the pool, A in terms of 1 and r.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.6: Solving Quadratic Equations By Using The Quadratic Formula

Problem 15CYU

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