Find the area $A$ of a hexagon if circumcircle radius $R = 6 cm$ .

Answer

$543 cm^{2}$

Explanation

STEP 1:

The side of the hexagon is equal the radius of the circumcircle. $a = 6$

STEP 2: find area $A$

To find area $A$ use formula:

A = \frac{3 3 \cdot a ^{2}}{2}

After substituting $a = 6 cm$ we have:

A = \frac{3 3 \cdot ( 6 cm ) ^{2}}{2}

A = \frac{3 3 \cdot 36 cm ^{2}}{2}

A = \frac{108 3 cm ^{2}}{2}

A = 543 cm^{2}

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Find the area A of a hexagon if circumcircle radius R=6cm.

543​cm2

Find the area $A$ of a hexagon if circumcircle radius $R = 6 cm$ .

$543 cm^{2}$