Question

What happens to the circumference of a circle if you double the radius? What happens if you double the diameter? What happens if you triple the radius?

I need a solution of how this is done step by step.

NOW - does this always work? Prove it does or doesn't!

Answer 1

The circumference of a circle relates to one of the most fundamental and important constants in all of mathematics. This is the number pi. Circumference and diameter are related in this linear correlation:

$$c = \pi \cdot d.$$

The radius can be substituted for the diameter in the following way:

$$c = \pi \cdot d = \pi \cdot 2r,$$

where $r$ is the radius and $d$ is the diameter of a circle, and the Greek letter $\pi$ is a mathematical constant.

That's why

A) increased 2-fold

B) increased 2-fold

C) increased 3-fold