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3 years ago

Could someone please explain how to solve for the area?

Mathematics

2 answers:

mixas84 [53]3 years ago

8 0

9514 1404 393

Answer:

779.4 square units

Step-by-step explanation:

You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.

One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...

A = (1/2)r²sin(α)

Since there are n such triangles, the area of the n-gon is ...

A = (n/2)r²sin(360°/n)

For a hexagon (n=6) with radius 10√3, the area is ...

A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units

IRINA_888 [86]3 years ago

6 0

Given

=> An Equilateral Hexagon with s = 10√3

To Find

=>The area of the Figure

Step-by-step explanation:

The area of an Equilateral Hexagon = 3√3s²/2

Inserting the value of S

=> 3√3*(10√3)²/2

=> 3√3*300/2

=>3√3*150

=>450√3

=>779.4428

<h2>=> 779.44 squared units</h2>

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Step-by-step explanation:

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Smoothing parameter $\left ( \alpha \right )=0.56$

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And Forecast is given by

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