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:Question 11
Question
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:Question 11
Solution
To find the area of a regular polygon, you can use the formula:
Area = 1/2 * Perimeter * Apothem
First, find the perimeter of the polygon. Since it's a regular polygon, all sides are equal, so multiply the length of one side by the number of sides:
Perimeter = 30 sides * 2.7 m/side = 81 m
Then, plug the perimeter and the apothem into the formula to find the area:
Area = 1/2 * 81 m * 12.8 m = 518.4 m^2
So, the area of the polygon is approximately 518 square meters when rounded to the nearest whole number.
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