Unit 13.3 - Area of Regular Polygons
Regular Polygon
A polygon that is both equilateral and equiangular.
Apothem
A segment that is drawn from the center of a regular polygon perpendicular to a side of the polygon.
Central Angle of a Regular Polygon
An angle formed by two radii drawn to consecutive vertices.
105
Find the area of a regular decagon with a radius of 6. (Round your answer to the nearest tenth, if necessary.)
98.5
Find the area of a regular heptagon with a radius of 6. (Round your answer to the nearest tenth, if necessary.)
1039.2
Find the area of a regular hexagon with a perimeter of 120. (Round your answer to the nearest tenth, if necessary.)
509.2
Find the area of a regular hexagon with a perimeter of 84. (Round your answer to the nearest tenth, if necessary.)
93.5
Find the area of a regular hexagon with a side length of 6. (Round your answer to the nearest tenth, if necessary.)
166.3
Find the area of a regular hexagon with a side length of 8. (Round your answer to the nearest tenth, if necessary.)
41.6
Find the area of a regular hexagon with an apothem of 2√3. (Round your answer to the nearest tenth, if necessary.)
374.1
Find the area of a regular hexagon with an apothem of 6√3. (Round your answer to the nearest tenth, if necessary.)
117.7
Find the area of a regular nonagon with an apothem of 6. (Round your answer to the nearest tenth, if necessary.)
173.8
Find the area of a regular octagon with a side of 6. (Round your answer to the nearest tenth, if necessary.)
130.8
Find the area of a regular pentagon with an apothem of 6. (Round your answer to the nearest tenth, if necessary.)
150
Find the area of a regular polygon with a p = 25 and a = 12. (Round your answer to the nearest tenth, if necessary.)
272
Find the area of a regular polygon with a p = 32 a = 17. (Round your answer to the nearest tenth, if necessary.)
48
Find the area of a regular polygon with a perimeter of 12 and apothem of 8. (Round your answer to the nearest tenth, if necessary.)
27.7
Find the area of an equilateral triangle that has a side of 8. (Round your answer to the nearest tenth, if necessary.)
360/n; where n = number of sides
Measure of a Central Angle of a Regular Polygon.
Center of a Regular Polygon
The center of the inscribed circle about the polygon.
Radius of a Regular Polygon
The distance from the center to a vertex.
