Write a formula that expresses the area of the circle, A (in cm2), in terms of the circumference of the circle, C (in inches). A=

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 32A: A piece in the shape of a frustum of a pyramid with regular octagon bases is 23.84 centimeters high....
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  1. Write a formula that expresses the area of the circle, A (in cm2), in terms of the circumference of the circle, C (in inches).

    A=  

  2. Suppose the function f determines the area of the circle (in cm2) given the circumference of the circle, C (in inches). Write a function formula for f.

    f(C)=  

 

 

a. Write a formula that expresses the radius of a circle, r (in cm), in terms of the circumference of the circle, C (in inches).
r = c/(2pi)
Preview
b. Write a formula that expresses the area of the circle, A (in cm-), in terms of the radius of the circle , r (in cm).
A =
pir^2
Preview
c. Write a formula that expresses the area of the circle, A (in cm-), in terms of the circumference of the circle, C (in inches).
A = pi(c/2pi)^2
Preview
d. Suppose the function f determines the area of the circle (in cm?) given the circumference of the circle, C (in inches). Write a function
formula for f.
f(C) = 4x(2.54)^2
Preview
Transcribed Image Text:a. Write a formula that expresses the radius of a circle, r (in cm), in terms of the circumference of the circle, C (in inches). r = c/(2pi) Preview b. Write a formula that expresses the area of the circle, A (in cm-), in terms of the radius of the circle , r (in cm). A = pir^2 Preview c. Write a formula that expresses the area of the circle, A (in cm-), in terms of the circumference of the circle, C (in inches). A = pi(c/2pi)^2 Preview d. Suppose the function f determines the area of the circle (in cm?) given the circumference of the circle, C (in inches). Write a function formula for f. f(C) = 4x(2.54)^2 Preview
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