Question

A

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

Answer 1

• No

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