SOLUTION: Consider a circle whose size can vary. The circumference of the circle is always 2π times as large as its radius. Let r represent the radius of the circle (in feet) and let C

Question 1122010: Consider a circle whose size can vary. The circumference of the circle is always 2π times as large as its radius. Let r represent the radius of the circle (in feet) and let C represent the circumference of the circle (in feet).
a. write a formula that expresses c in terms of r
b.Use your formula from part (a) to determine the circumference of a circle whose radius is 5 feet.
c. Write a formula that expresses r in terms of c
d. Use your formula from part (c) to determine the radius of a circle whose circumference is 31.4159 feet

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
c = 2 * pi * r

r = c / (2 * pi)

c is the circumference
r is the radius
pi = 3.121592654

when r = 5, the circumference is 2 * pi * 5 = 10 * pi = 31.41592654

when c = 31.4159, r = c / (2 * pi) = 4.999995777.

note that they used the same circumference from part b in part d except that they rounded it to 4 decimal places which is why the radius didn't come out to be exactly 5; but it was close.

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SOLUTION: Consider a circle whose size can vary. The circumference of the circle is always 2&#960; times as large as its radius. Let r represent the radius of the circle (in feet) and let C

SOLUTION: Consider a circle whose size can vary. The circumference of the circle is always 2π times as large as its radius. Let r represent the radius of the circle (in feet) and let C