Answer:
Diameter = [tex]\frac{T}{\pi}[/tex] units
Step-by-step explanation:
There are 2 formulas that we have for circumference of a circle, shown below.
- [tex]C=2\pi r[/tex]
- [tex]C=\pi d[/tex]
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:
[tex]C=\pi d\\T = \pi d\\d=\frac{T}{\pi}[/tex]
Hence the diameter is [tex]\frac{T}{\pi}[/tex] units
