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In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44? A.154d = (14)(44) B.154/d = 44/14 C.14d = 154/44

Answer :

JcAlmighty
The answer is B.154/d = 44/14 

In a circle, the circumference (C) and diameter (D) vary directly:
C = kD
k = C/D

Circle 1: k = C1/D1
Circle 2: k = C2/D2

C1/D1 = C2/D2
C1 = 154
D1 = ?
C2 = 44
D2 = 14

154/D1 = 44/14
So, the choice B. is correct.

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