
Area of Regular Polygons
Presentation
•
Mathematics
•
6th Grade
•
Hard
James Gonzalez
FREE Resource
7 Slides • 10 Questions
1
Area of a Regular Polygon
Objective: Students will be able to identify regular polygons and find the area using congruent triangles.
2
What is a polygon?
Straight sided, flat shapes that are closed
Comes from the Greek word meaning “many angles”
3
What is a Regular Polygon?
all sides are the same lengths (congruent)and all angles have the same measurements.
4
Multiple Choice
Which figure is a polygon?
5
Multiple Select
Which of these figures are regular polygons?
6
How can you find the area of a regular polygon?
Divide the polygon into congruent triangles
The number of triangles will be the same as the number of sides.
7
Step 1: Make congruent triangles
Draw a from each vertex into the center
The vertex is where 2 line segments meet.
Make a dot in the center of the figure and connect it to each vertex.
8
Multiple Choice
Which of these regular polygons have congruent triangles in them?
9
Multiple Choice
How do you make a congruent triangles in a regular polygon?
Draw a line from one side to the other.
Draw a line from a vertex to a vertex.
Draw line from the vertex to the center.
Draw a square.
10
Step 2:Find the area of one triangle.
Remember A=1/2BH
Don't forget to multiply by half or divide by 2.
11
Multiple Choice
What is the area of the triangle that has a 4in base and 10 in height?
40in
40 in2
20 in2
14in2
12
Multiple Choice
What is the area of a triangle that has a base of 12 ft and a height of 14ft?
42 ft2
84ft2
168ft2
13 ft2
13
Step 3: Find the area of the regular polygon
Take the area you found from 1 congruent triangle and multiply it by the number of sides.
14
Multiple Choice
What is the area of the triangle in this polygon?
56cm2
7.5cm2
28cm2
15
Multiple Choice
How many sides does this figure have?
3
4
6
8
16
Multiple Choice
If the area of the triangle in this figure is 28cm2, what is the area of the whole figure?
120cm2
168 cm2
280 cm2
17
Multiple Choice
Find the area of the regular polygon.
120m2
100m2
60m2
Area of a Regular Polygon
Objective: Students will be able to identify regular polygons and find the area using congruent triangles.
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