The apothem of a 30 -sided regular polygon is 12.8 meters. What is its area if each side measures 2.7 m ? (Your answer will be numerical only
and rounded to the nearest whole number).
Answer:

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The apothem of a 30 -sided regular polygon is 12.8 meters. What is its area if each side measures 2.7 m ? (Your answer will be numerical only and rounded to the nearest whole number). Answer:

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To find the area of a regular polygon, we can use the formula:

$$ \text{Area} = \frac{n \times s \times a}{2} $$

where:
- $$ n $$ is the number of sides of the polygon,
- $$ s $$ is the length of each side,
- $$ a $$ is the apothem (the distance from the center of the polygon to one of its vertices).

Given:
- Number of sides ($$ n $$) = 30
- Length of each side ($$ s $$) = 2.7 m
- Apothem ($$ a $$) = 12.8 m

Substitute the given values into the formula:

$$ \text{Area} = \frac{30 \times 2.7 \times 12.8}{2} $$

Now, let's calculate the area.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{30\times 2.7\times 12.8}{2}$$
- step1: Multiply the terms:
  $$\frac{1036.8}{2}$$
- step2: Convert the expressions:
  $$\frac{\frac{5184}{5}}{2}$$
- step3: Multiply by the reciprocal:
  $$\frac{5184}{5}\times \frac{1}{2}$$
- step4: Reduce the numbers:
  $$\frac{2592}{5}\times 1$$
- step5: Multiply:
  $$\frac{2592}{5}$$
The area of the regular polygon is approximately 518.4 square meters.

Therefore, the area of the regular polygon is 518 square meters.
The area of the regular polygon is 518 square meters.

The apothem of a 30 -sided regular polygon is 12.8 meters. What is its area if each side measures 2.7 m ? (Your answer will be numerical only
and rounded to the nearest whole number).
Answer:

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