Answered

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a
a. Does there appear to be a proportional relationship between circumference and
area? Explain or show your reasoning.

Sagot :

Mhanifaidn

Answer:

  • No

Step-by-step explanation:

The proportional relationship is:

  • y = kx, where k is constant

This can be shown as:

  • y/x = k

Now let's assume x = circumference and y = area

Use respective equations:

  • A = πr², C = 2πr

If the relationship is proportional we should have:

  • A = kC ⇒ A/C = k

Verify:

  • A/C = πr²/(2πr) = r/2, this is not constant, therefore the answer is negative
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