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Find the area of a regular hexagon with a said length of 10 centimeters and a apothem of 5 spuare root 3

Find The Area Of A Regular Hexagon With A Said Length Of 10 Centimeters And A Apothem Of 5 Spuare Root 3 class=

Sagot :

Answer:

C

Step-by-step explanation:

the area (A) of the hexagon can be calculated as

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

p = 6 × 10 = 60 and a = 5[tex]\sqrt{3}[/tex] , then

A = [tex]\frac{1}{2}[/tex] × 60 × 5[tex]\sqrt{3}[/tex]

   = 30 × 5[tex]\sqrt{3}[/tex]

   = 150[tex]\sqrt{3}[/tex]

   ≈ 259.8 cm² ( to the nearest tenth )

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