Answer:
8.28 units
Step-by-step explanation:
The formula for the circumference of a circle is [tex]C=\pi d[/tex]
where
[tex]C[/tex] is the circumference of the circle
[tex]d[/tex] is the diameter of the circle
We know form our problem that the circumference of our circle is 26.28 units, so [tex]C=28.26[/tex]. Let's replace that value in our formula and find [tex]d[/tex]:
[tex]C=\pi d[/tex]
[tex]26=\pi d[/tex]
Divide both sides of the equation by [tex]\pi[/tex]
[tex]\frac{26}{\pi } =\frac{\pi d }{\pi }[/tex]
[tex]\frac{26}{\pi } =d[/tex]
[tex]d=\frac{26}{\pi }[/tex]
[tex]d=8.28[/tex]
The diameter of the circle that has a circumference of 28.26 units is 8.28 units.
