Answer:
[tex]\pi[/tex]
Step-by-step explanation:
Given
[tex]Curve\ length = d[/tex]
Required
Number of curve length needed to round the circle
The length round the circle is the circumference of the circle.
To get the number of curves (n), we simply divide the circumference by the length of each curve.
i.e.
[tex]n = \frac{Circumference}{Curve\ length}[/tex]
Circumference is calculated as:
[tex]Circumference = \pi d[/tex]
So, we have:
[tex]n = \frac{\pi d}{d}[/tex]
Simplify fraction
[tex]n = \pi[/tex]
Hence, [tex]\pi[/tex] of the curve length will fit the circle
