Question

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

_unit(s)

Please explan to me because I dont understand this.​

Answer 1

Diameter =
`(T)/(\pi)` units

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=(T)/(\pi)`

Hence the diameter is
`(T)/(\pi)` units