Question

A regular hexagon has side lengths of 8 centimeters. What is the exact measure of its apothem?(1 point)
Responses

4 cm
4 cm

43–√
cm
4 Start Root 3 End Root cm

6 cm
6 cm

83–√
cm
8 Start Root 3 End Root cm

Answer 1

To find the apothem of a regular hexagon with side length \( s \), you can use the formula:

\[
a = \frac{s \sqrt{3}}{2}
\]

where \( a \) is the apothem and \( s \) is the side length.

In this case, the side length \( s = 8 \) cm. Plugging it into the formula:

\[
a = \frac{8 \sqrt{3}}{2} = 4 \sqrt{3} \text{ cm}
\]

So, the exact measure of the apothem of the regular hexagon is \( 4\sqrt{3} \) cm.

Thus, the correct response is:

**\( 4\sqrt{3} \) cm**.