Question 1127231
 A)Write a formula that expresses the radius of a circle in cm, r, in terms of the circumference of the circle in inches, C.
1 inch = 2.54 cm
{{{(2*pi*r)/2.54}}} = C in inches
{{{2*pi*r = 2.54*C}}}
:
{{{r = (2.54*C)/(2*pi)}}}
{{{r = (1.27*C)/pi}}}
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B)Write a formula that expresses the area of the circle in cm2, A, in terms of the radius of the circle in cm, r.
{{{A = pi*r^2}}}
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C)Write a formula that expresses the area of the circle in cm2, A, in terms of the circumference of the circle in inches, C.
replace r with {{{(1.27C)/pi}}}
{{{A = pi*((1.27C)/pi)^2}}}
{{{A = pi*((1.27C)/pi)*((1.27C)/pi)}}}
{{{A = 1.27C((1.27C)/pi)}}}
{{{A = (1.6129C^2)/pi}}}
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D)Suppose the function f determines the area of the circle in cm2 given the circumference of the circle in inches, C. Write a function formula for f.
{{{f(C) = (1.6129C^2)/pi}}}