Answered

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?

Verified Answer :

xxiraindropsxx

d=kC 
Plug in what we know and solve for k: 
14=k(44) 
k=14/44 

so 
d=(14/44)(154) 
x=49 

Blacklash

Answer:

\(d=\frac{7}{22}\times 154=49\)

Step-by-step explanation:

Let circumference be C and diameter be d.

In a circle, the circumference and diameter vary directly that is

                   C = kd

You know that in a second circle the diameter is 14 when the circumference is 44.

                  C = kd

                   44 = k x 14

                    \(k=\frac{44}{14}=\frac{22}{7}\)

Circumference of unknown diameter circle = 154

                   \(154=\frac{22}{7}d\\\\d=\frac{7}{22}\times 154 = 49\)

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