MATH CALCULATOR
Pentagon Calculator
Calculate the area, perimeter, and interior angles of a regular pentagon easily.
What is the Pentagon Calculator & How does it work?
A regular pentagon is a five-sided polygon with all sides of equal length and all interior angles equal. The properties of a regular pentagon can be calculated using specific formulas.
The area of a regular pentagon can be calculated using the formula:
A = frac{1}{4} sqrt{5(5+2sqrt{5})} s^2
s = side length of the pentagon
The perimeter is simply five times the side length:
P = 5s
s = side length of the pentagon
Parameters
Result—
Frequently Asked Questions
How do I calculate the area of a regular pentagon?
Use the formula A = (1/4) * sqrt(5(5+2sqrt(5))) * s^2, where s is the side length.
What is the perimeter of a regular pentagon?
The perimeter P is 5 times the side length s.
Can I use this calculator for irregular pentagons?
No, this calculator is specifically for regular pentagons with all sides and angles equal.
What are the interior angles of a regular pentagon?
Each interior angle of a regular pentagon measures 108 degrees.
How do I find the side length if I know the area?
Rearrange the area formula to solve for s: s = sqrt((4A) / (sqrt(5(5+2sqrt(5)))))
Is there a specific unit for the side length?
The unit of the side length can be any consistent unit of length, such as meters or inches.
Can this calculator handle very large numbers?
Yes, it can handle large numbers, but ensure your device supports high-precision calculations for accuracy.
Results are for informational purposes only and do not constitute professional advice.