Since the ratio of 2 to r must be prime, this shows that no value of the radius will be greater than 13.
The formula for calculating the circumference of a circle is expressed as:
[tex]A = 2 \pi r[/tex]
The formula for calculating the area of a circle is [tex]\pi r^2[/tex]
If the circumference of a circle divided by the area of the circle is prime, then:
[tex]\frac{2\pi r}{\pi r^2} = prime\\\frac{2}{r} = prime[/tex]
Since the ratio of 2 to r must be prime, this shows that no value of the radius will be greater than 13.
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