How do you find the apothem of a regular polygon

Question

I was just wondering what the answer to that question was

Answer 1

You multiply by 12345234

Answer 2

????????????????????? "apothem" ??????????????

me thank that be a straenj OBSOLEET-BRIT or maebee a PRETENDT-TU BE BRIT

that yuzeyually meen HITE

but mite be sumthun els

Regular Polygon...make the senter av all stuf the point (0,0), so all stuf go round senter

Yu kan draw inside serkel & outside serkel that hav (0,0) as senter, same as polygon

Draw trinagel from senter tu the horizontal line at bottom=isosaleez trinagel

(2 sides=outside radius...lines gotu korner weer sides tern)

(1/2)hite av polygon =vertikal line from senter av side at bottom up tu senter=INSIDE RADIUS

me wunder wot yer quesshun be

This make 2 identikal  rite triangels...angel at top=alfa/2, angel at end av base=beta

(vertikal side=inside radius & diagonal=outside radius)

#### me thank "apothem"=obsoleet pretend no-good Brit for inside radius #####

alfa=360/n (number av sides

beta=(180-alfa)/2

if n=6 (hexagon) alfa=60deg & beta=60deg

inside radius=(side/2)*tan(beta)

for the hexagon with side=1, get inside radius=0.8660254=(1/2)*tan(60 deg)

(tan 60 deg)=1.732050808