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Find the area of a regular octagon with an apothem of 2 cm.

Sagot :

The area of a regular octagon with an apothem of 2 cm is 3cm ^2.

The area of a regular octagon with an apothem of 2 cm.

Given the apothem length,

What is the area of the regular polygon?

the area of a regular polygon becomes,

[tex]A=\frac{1}{2}\times P\times A[/tex]

P=  the perimeter of the regular polygon

A is the apothem of the regular polygon

Here, we get

p=2=2cm, a=3cm.

So, plugging in the given values, we get

[tex]A=\frac{1}{2} \times 2cm\times 3cm[/tex]

A=1cm⋅3cm

A=3cm^2

Therefore the area of a regular octagon with an apothem of 2 cm is 3cm ^2.

To learn more about the regular octagon visit:

https://brainly.com/question/1592456

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