Question

3. If a circle has a circumference of T units, what is the diameter of the circle?

Answer 1

Answer:

Diameter = $\frac{T}{\pi}$  units

Step-by-step explanation:

There are 2 formulas that we have for circumference of a circle, shown below.

1. $C=2\pi r$
2. $C=\pi d$

This comes from the fact that twice radius (r) is equal to diameter (d).

Since the question asks for diameter given circumference, we will use #2 formula from above because it relates circumference and diameter.

C = T [given]

d = ???

Let's find by substituting in formula:

$C=\pi d\\T = \pi d\\d=\frac{T}{\pi}$

Hence the diameter is  $\frac{T}{\pi}$  units