Question

Let a regular polygon have x sides and let its central angle be y degrees, then which of the following statements is true?

• A. x and y are directly proportional.
• B. x and y are inversely proportional.
• C. $x$ and $\frac{1}{y}$ are inversely proportional.
• D. $y$ and $\frac{1}{x}$ are inversely proportional.

Answer 1

The correct option is B

x and y are inversely proportional.

If the central angle for a polygon of x sides is y degrees,

then $y=\frac{360}{x}$. Thus, $x$ and $y$ are inversely proportional.