SOLUTION: 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. B)Write a formula that expresses the area of the circle

Algebra ->  Finance -> SOLUTION: 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. B)Write a formula that expresses the area of the circle      Log On


   

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.
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.
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.
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.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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
%282%2Api%2Ar%29%2F2.54 = C in inches
2%2Api%2Ar+=+2.54%2AC
:
r+=+%282.54%2AC%29%2F%282%2Api%29
r+=+%281.27%2AC%29%2Fpi
:
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%2Ar%5E2
:
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 %281.27C%29%2Fpi
A+=+pi%2A%28%281.27C%29%2Fpi%29%5E2
A+=+pi%2A%28%281.27C%29%2Fpi%29%2A%28%281.27C%29%2Fpi%29
A+=+1.27C%28%281.27C%29%2Fpi%29
A+=+%281.6129C%5E2%29%2Fpi
:
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%28C%29+=+%281.6129C%5E2%29%2Fpi