Question

A regular hexagon has an area of 750.8 cm. The side length is 17 cm. Find the apothem.

a. 7.4 cm
b. 14.7 cm
c. 21.5 cm
d. 88.3 cm

Answer 1

Since, a regular hexagon has an area of 750.8 square cm and The side length is 17 cm.

We have to find the apothem of the regular hexagon.

The formula for determining the apothem of regular hexagon is
`s / {{2 \tan ((180)/(n))}`, where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.

So, apothem =
`17 / {2 tan((180)/(6))`

=
`17 / {2 tan(30)`

=
`17 / {1.15}`

= 14.78 units

Therefore, the measure of apothem of the regular hexagon is 14.7 units.

Option B is the correct answer.