Whats the perimeter of a regular nonagon with an apothem of 17 cm and a side length of 12.4 cm.

The perimeter of the regular nonagon is 111.6 cm

Step-by-step explanation:

In this question, we are asked to calculate the perimeter of a regular nonagon given the apothem and the length of its side

Since the polygon is regular, it means the length of its sides are equal.

The polygon we are dealing with here is a nonagon meaning it is a 9 sided polygon

Mathematically, the perimeter is ;

P =n * s

where n is the number of sides and a is the length of one of the side of the polygon

From the question, our s = 12.4 cm

Plugging this into the perimeter equation, we have;

P = 12.4 * 9 = 111.6 cm

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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