Enter Polygon Interior Angle Sum


  

How many sides does a polygon have:

with a sum of interior angles = 540.?

Calculate sides

D = 180(n - 2)

Divide each side by 180

n - 2  =  D
  180

Add 2 to both sides:

n = D/180 - 2

Solve for n when D = 540.

n = 540./180 + 2

n = 3 + 2

n = 5


You have 2 free calculationss remaining



What is the Answer?
n = 5
How does the Polygon Side Calculator work?
Free Polygon Side Calculator - Determines the sides of a polygon given an interior angle sum.
This calculator has 1 input.

What 1 formula is used for the Polygon Side Calculator?

D = 180(n - 2)

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Polygon Side Calculator?

angle
the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
polygon
A plane figure bounded by a set of straight lines
side
line segment joining two vertices in a polygon also known as an edge
sum
the total amount resulting from the addition of two or more numbers, amounts, or items
Example calculations for the Polygon Side Calculator
  1. Sum of interior angle is 540.Find the number of sides

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