## 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 diagonal ?      Explanation:

Congruent sides and and the diagonal form an isosceles triangle. , 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, 130 comes closest.

### Example Question #2 : How To Find The Length Of A Side Of A Polygon

Polygon is a regular nine-sided polygon, or nonagon, with perimeter 500. Which choice comes closest to the length of diagonal ?      Explanation:

Congruent sides and and the diagonal form an isosceles triangle. , 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, 105 comes closest.

### Example Question #1 : Other Polygons

What is the side length of a 12-sided polygon with a perimeter of       To find the side length, , of an -sided polygon with a perimeter of .  