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A regular hexagon has an area of 750.8cm². The side length is 17cm. Find the apothem.

A. 7.4cm
B. 14.7cm
C. 21.5cm
D. 88.3cm

A regular hexagon has an area of 7508cm The side length is 17cm Find the apothem A 74cm B 147cm C 215cm D 883cm class=

Respuesta :

goldenpoo21
The formula for determining the apothem of regular hexagon is s/2tan(180/n) , where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.
So, apothem = 17/2tan(180/n)
= 17/2tan(30)
= 17/1.15
= 14.78 units
Therefore, the measure of apothem of the regular hexagon is 14.7 units.
B is the right answer.

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