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Area of Regular Polygons Day 1

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Last updated almost 2 years ago
13 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 13
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Find the area of this regular polygon.


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


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

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


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

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

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

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

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

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

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

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

759.88 units²
969.88 units²
659.88 units²
289.88 units²
Find the area of a 7-gon
apothem =21.8
side=21
193.45 units²
1018.54 units²
1602.3 units²
659.88 units²