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: 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 = -ar² + Pr (1) Consider an application of this equation where a pool is to be constructed as shown below with the following dimensions: 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.

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter10: Quadratic Equations

Section10.5: Graphing Quadratic Equations

Problem 10.108TI: A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of...

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