To find the area of a regular polygon, you can use the formula:
Area = (Perimeter * Apothem) / 2
First, calculate the perimeter of the pentagon. A pentagon has 5 sides, so:
Perimeter = 5 * s
Perimeter = 5 * 37.9
Perimeter = 189.5
Now, you can calculate the area using the given apothem:
Area = (189.5 * 26.1) / 2
Area = 4936.95 / 2
Area = 2468.48
Therefore, the area of the regular pentagon with an apothem of 26.1 and side length of 37.9 is 2468.48 square units.
Find the area of the regular polygon with the given apothem an and side length s. Pentagon a= 26.1 s=37.9
1 answer