10-3 Area of Regular Polygons
Presentation
•
Mathematics
•
9th Grade
•
Easy
Jacquelyn Duvendack
Used 3+ times
FREE Resource
10 Slides • 5 Questions
1
10-3 Area of Regular Polygons
2
Multiple Choice
What does it mean to be a "regular" polygon?
3
Essential Understanding
The radius of a regular polygon is the distance from the center to the vertex.
The apothem is the perpendicular distance from the center to a side.
4
Example #1: Finding Angle Measures
5
Example #2: Find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of an octagon.
6
Multiple Choice
What is the measure of a central angle of a regular Decagon (polygon with 10 sides)?
20°
30°
36°
45°
60°
7
Multiple Choice
What is the measure of a central angle of a regular Hexagon?
20°
30°
45°
60°
72°
8
Postulate 10-1
If two figures are congruent, then the areas are the same.
Therefore, each triangle drawn in a regular polygon is an isosceles triangle with the same area.
9
Area of a Regular Polygon
10
Example #3: Finding the Area of a Regular Polygon
11
Example #4: What is the area of a regular pentagon with an 8-cm apothem and 11.6-cm sides?
12
Multiple Choice
The apothem of a 40-sided regular polygon is 11.4 meters. What is its area if each side measures 1.9 meters?
216.6 m2
433.2 m2
866.4 m2
1732.8 m2
13
Multiple Choice
Find the area of this polygon.
22 mm²
110 mm²
320 mm²
100 mm²
14
Example #5: Finding the Area Using Special Right Triangles!!
Remember the rules for Special Right Triangles???
15
Example #6: The side of a regular hexagon is 16 ft. What is the area of the hexagon? Round your answer to the nearest square foot.
10-3 Area of Regular Polygons
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