KEY FORMULAS FOR REGULAR n-SIDED POLYGONS

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7 Terms

1
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Number of Diagonals (N_d)

(N_d) = (n/2) (n-3)

2
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Measure of a Single Interior angle (θ_int)

(θ_int) = ((n-2)* (180°)) / n

3
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Sum of the interior angle (S_int)

(S_int) = (n-2)*180°

4
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Legend: What is n,r, and b?

n = number of sides

r = radius of circle

b = length of the side

5
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Area of the polygon

A=(1/4)((n)(b)²cot(180°/n))

6
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Area of polygon inscribed in a circle

A= (1/2)(n*r²*sin(360°/n)

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Area of polygon circumscribed in a circle

A = n*r²*tan(180°/n)