Find the area of the regular polygon. Round your answer to the nearest tenth.
the individual sides are 10 the radius is 13.07
To find the area of a regular polygon, you can use the formula:
Area = (s^2 * n) / (4 * tan(pi/n))
In this formula:
- s represents the length of each side of the polygon, in this case, 10.
- n represents the number of sides of the polygon.
- pi represents the mathematical constant pi, approximately 3.14159.
However, you mentioned that the radius of the polygon is 13.07. The radius is the distance from the center of the polygon to any of its vertices. To find the area using the radius, we can use a slightly different formula:
Area = (n * r^2 * sin(2*pi/n)) / 2
In this formula:
- r represents the radius of the polygon, which is given as 13.07.
- pi represents the mathematical constant pi, approximately 3.14159.
- n represents the number of sides of the polygon.
Substituting the given values into the formula:
Area = (n * (13.07)^2 * sin(2*pi/n)) / 2
Since the number of sides is not provided, we cannot calculate the exact area. Please provide the number of sides to proceed with the calculation.