Find the area of a regular hexagon whose sides measure 6 inches each.
A) $9 \sqrt { 3 } \mathrm { in } ^ { 2 }$
B) $9 \sqrt { 2 } \mathrm { in } ^ { 2 }$
C) $54 \sqrt { 3 } \mathrm { in } ^ { 2 }$
D) $54 \sqrt { 2 } \mathrm { in } ^ { 2 }$

Question

Quizplus · Accepted Answer

The area of a regular hexagon is given by the formula: 
$A = \frac{3\sqrt{3}}{2}s^2$, where $s$ is the length of a side.

Substituting $s=6$ into this formula gives us: 
$A = \frac{3\sqrt{3}}{2}(6)^2 = 54\sqrt{3} \mathrm{in}^2$

Therefore, the best choice is $\boxed{\mathrm{(C)}}$.

Find the Area of a Regular Hexagon Whose Sides Measure 93in29 \sqrt { 3 } \mathrm { in } ^ { 2 }93​in2

Find the Area of a Regular Hexagon Whose Sides Measure $9 \sqrt { 3 } \mathrm { in } ^ { 2 }$