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Find the area of the equilateral triangle to the nearest hundredth, given the radius.

Find The Area Of The Equilateral Triangle To The Nearest Hundredth Given The Radius class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  20.78 square units

Step-by-step explanation:

The area of a regular polygon of radius r and number of sides n is given by ...

  A = (n/2)r²sin(360°/n)

For this regular 3-gon of radius 4, the area is ...

  A = (3/2)(4²)sin(360°/3) = 24(√3/2) = 12√3 . . . square units

The area is about 20.78 square units.

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