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This problem illustrates a typical approach for creating a model. Use lower case letters. We want to express the area of a circle, A, as a function of its circumference, c. (a) Because we want a formula for area, start with the basic formula we know for the area of a circle in terms of its radius. (b) Because we want the area formula in terms of circumference and not radius, we need another formula that will allow us to replace r in terms of c. The formula that has both r and c in it is the circumference formula for a circle. Write out the circumference formula and then solve the formula for r. (c) Now substitute r in terms of c into your area formula in part (a). A(c) =

This problem illustrates a typical approach for creating a model. Use lower case letters. We want to express the area of a circle, A, as a function of its circumference, c. (a) Because we want a formula for area, start with the basic formula we know for the area of a circle in terms of its radius. (b) Because we want the area formula in terms of circumference and not radius, we need another formula that will allow us to replace r in terms of c. The formula that has both r and c in it is the circumference formula for a circle. Write out the circumference formula and then solve the formula for r. (c) Now substitute r in terms of c into your area formula in part (a). A(c) =

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
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This problem illustrates a typical approach for creating a model. Use lower case letters. We want to express the area of a circle, A, as a function of its circumference, c. (a) Because we want a formula for area, start with the basic formula we know for the area of a circle in terms of its radius. A = (b) Because we want the area formula in terms of circumference and not radius, we need another formula that will allow us to replace r in terms of c. The formula that has both r and c in it is the circumference formula for a circle. Write out the circumference formula and then solve the formula for r. C = r = (c) Now substitute r in terms of c into your area formula in part (a). A(c) =
Transcribed Image Text:This problem illustrates a typical approach for creating a model. Use lower case letters. We want to express the area of a circle, A, as a function of its circumference, c. (a) Because we want a formula for area, start with the basic formula we know for the area of a circle in terms of its radius. A = (b) Because we want the area formula in terms of circumference and not radius, we need another formula that will allow us to replace r in terms of c. The formula that has both r and c in it is the circumference formula for a circle. Write out the circumference formula and then solve the formula for r. C = r = (c) Now substitute r in terms of c into your area formula in part (a). A(c) =
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