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Area of Regular Polygons Day 1 11.4

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Last updated almost 2 years ago
12 questions
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Area of a regular polygon is equal to the apothem times the perimeter of the shape divided by 2.

The blue line in this picture is the apothem.
The perimeter is the sum of all the outside edges.

Multiply the apothem to the perimeter, then divide by 2 and you have the area of regular polygon.

This only works with regular polygon though.

A regular polygon is a polygon where all the sides of the polygon are the same length.


As an example.

The apothem of this hexagon is 9.5 meters long.
The perimeter of this hexagon would be 66 meters long. Because 11 x 6 sides gives you 66 m.

So 9.5 x 66 = 627

Then divide 627 by 2
627/2 = 313.5

So the area of this hexagon is 313.5 m²
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Question 9
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Question 10
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Question 11
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Question 12
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Find the area of this regular polygon.


24 in²
49 in²
36 in²
25 in²
Find the area of this regular polygon.


280.33 ft²
150.33 ft²
340.33 ft²
210.33 ft²
Find the area of this regular polygon.

356.76 yd²
86.76 yd²
146.76 yd²
256.76 yd²
Find the area of this regular polygon.


183.76 yd²
163.76 yd²
173.76 yd²
253.76 yd²
Find the area of this regular polygon.

87.75 in²
98.75 in²
88.75 in²
86.75 in²
Find the area of this regular polygon.

75.83 ft²
155.83 ft²
12.83 ft²
90.83 ft²
Find the area of this regular polygon.

256.11 ft²
52.11 ft²
88.11 ft²
162.11 ft²
Find the area of this regular polygon.

439.67 yd²
459.67 yd²
429.67 yd²
449.67 yd²
Find the area of this regular polygon.

152.42 in²
151.42 in²
153.42 in²
154.42 in²
Find the area of this regular polygon.

193.45 units²
133.45 units²
123.45 units²
213.45 units²
Find the area of this regular polygon.

1518.45 units²
1218.45 units²
2118.45 units²
1018.45 units²
Find the area of this regular polygon.

969.88 units²
289.88 units²
659.88 units²
759.88 units²