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laila [671]
4 years ago
14

Determine whether the relationship between the circumfrance of a circle and its diameter is a direct variation. If so, identify

the constant of proportionality. Justify your response.
Mathematics
1 answer:
kipiarov [429]4 years ago
3 0

Answer:

The relationship between the circumference of a circle and its diameter represent  a direct variation and the constant of proportionality is equal to the constant \pi

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where K is the constant of proportionality

In this problem we know that

The circumference of a circle is equal to

C=\pi D

therefore

the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant \pi

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