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Example Questions
Example Question #1 : How To Find The Length Of A Side Of A Polygon
Polygon  is a regular seven-sided polygon, or heptagon, with perimeter 500. Which choice comes closest to the length of diagonalÂ
?
Congruent sides  andÂ
 and the diagonalÂ
 form an isosceles triangle.Â
, being an angle of a seven-sided regular polygon, has measure
The other two are congruent, and each has measure
The length of one side is one-seventh of 500, or
 can be found using the Law of Sines:
Of the given choices, 130Â comes closest.
Example Question #1 : Other Polygons
Polygon  is a regular nine-sided polygon, or nonagon, with perimeter 500. Which choice comes closest to the length of diagonalÂ
?
Congruent sides  andÂ
 and the diagonalÂ
 form an isosceles triangle.Â
, being an angle of a nine-sided regular polygon, has measure
The other two are congruent, and each has measure
The length of one side is one-ninth of 500, or
 can be found using the Law of Sines:
Of the given choices, 105Â comes closest.
Example Question #1 : How To Find The Length Of A Side Of A Polygon
What is the side length of a 12-sided polygon with a perimeter ofÂ
To find the side length, , of anÂ
-sided polygon with a perimeter ofÂ
.
Use the formula:Â
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