Question

The measure of each exterior angle of a regular polygon is 15 degrees. The length of each side is 4 inches. What is the length of the apothem? Round your answer to the nearest tenth.

Answer 1

The length of the apothem is equal to 7.46in

Data;

• Angle = 15 degree
• s = 4 inches
• length of apothem

Length of an Apothem

This can be calculated using the formula

$A = \frac{s}{2*tan(\frac{180}{n}) } \\A = \frac{4}{2*tan(\frac{180}{12}) } \\A = 7.46in$

The length of the apothem is equal to 7.46in

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