MATH CALCULATOR
Decagon Calculator
Calculate the area, perimeter, and interior angles of a decagon easily with our online calculator.
What is the Decagon Calculator & How does it work?
A decagon is a polygon with ten sides. The properties of a regular decagon (where all sides are equal) can be calculated using specific formulas.The perimeter of a regular decagon is simply the sum of all its sides: Perimeter = 10a.Each interior angle of a regular decagon can be calculated using the formula: Interior Angle = frac{(n-2) imes 180}{n}, where n is the number of sides (in this case, 10).
Area = frac{5}{2}a^2sqrt{5+2sqrt{5}}
a = side length
Parameters
Result—
Frequently Asked Questions
How do I calculate the area of a decagon?
To find the area of a regular decagon, use the formula: Area = (5/2) * a^2 * sqrt(5 + 2*sqrt(5)), where 'a' is the side length.
What is the perimeter of a regular decagon?
The perimeter of a regular decagon is calculated by multiplying the side length by 10: Perimeter = 10 * a, where 'a' is the side length.
How do I find each interior angle of a decagon?
Each interior angle of a regular decagon can be found using the formula: Interior Angle = (n - 2) * 180 / n, where 'n' is the number of sides (in this case, 10).
What is the sum of all interior angles in a decagon?
The sum of all interior angles in a decagon is 1440 degrees. This can be calculated using the formula: (n - 2) * 180, where 'n' is the number of sides.
How many sides does a decagon have?
A decagon has 10 sides.
Can this calculator handle irregular decagons?
This calculator is designed for regular decagons only, where all sides are equal. For irregular decagons, different calculations would be required.
Is there a formula to find the side length of a decagon if I know the area?
Yes, you can rearrange the area formula to solve for 'a': a = sqrt(2 * Area / (5 * sqrt(5 + 2*sqrt(5)))).
Results are for informational purposes only and do not constitute professional advice.