Precalculus A Prelude to Calculus, 2nd Edition By Sheldon Axler
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Instructor’s Solutions Manual, Appendix A
Exercise 1
Solutions to Exercises, Appendix A 1 Find the radius of a circle that has circumference 12 inches. solution Let r denote the radius of this circle in inches. Thus 2π r = 12, 6 which implies that r = π inches.
Instructor’s Solutions Manual, Appendix A
Exercise 2
2 Find the radius of a circle that has circumference 20 feet. solution Let r denote the radius of this circle in feet. Thus 2π r = 20, which implies that r = 10 π feet.
Instructor’s Solutions Manual, Appendix A
Exercise 3
3 Find the radius of a circle that has circumference 8 more than its diameter. solution Let r denote the radius of this circle. Thus the circle has circumference 2π r and has diameter 2r . Because the circumference is 8 more than diameter, we have 2π r = 2r + 8. Thus (2π − 2)r = 8, which implies that r = π 4−1 .
Instructor’s Solutions Manual, Appendix A
Exercise 4
4 Find the radius of a circle that has circumference 12 more than its diameter. solution Let r denote the radius of this circle. Thus the circle has circumference 2π r and has diameter 2r . Because the circumference is 12 more than diameter, we have 2π r = 2r + 12. Thus (2π − 2)r = 12, which implies that r = π 6−1 .