Question

tell me how you get the following thing for this shape
- apothem
-radius
-1/2 Central angle
-area

Answer 1

https://media.glynlyon.com/a_matgeo_2011/7/group104.gif

Answer 2

please give me some number answers too,..

Answer 3

we're basically solving for the parts of that triangle...

Answer 4

the radius is the hypotenuse of the triangle
the apothem is the distance from the center to the midpoint of the side. (in the triangle, it's the intermediate length side.)

Answer 5

an apothem is a line segment from the midpoint if a side of a polygon to the centre

Answer 6

oh yeah.... line segment... what he ^^^ said... :)

Answer 7

so uum.. how do i find what im asking...

Answer 8

each side is 8 so half of it is...???
that will be your shortest side of the triangle.

Answer 9

ok

Answer 10

if you draw a segment from each vertex of the polygon to the center, how many triangles you'd get?

Answer 11

the half angle

the polygon is regular so the angle at the centre

360/6 = 60

half angle = 60/2
= 30

Answer 12

oh ok

Answer 13

how do i find the area?

Answer 14

so now you know what kind of triangle we're dealing with.. a 30-60-90 triangle

Answer 15

yup

Answer 16

we're getting to the area... all we need is the intermediate side length.. because area of the triangle is (1/2)b*h, right?

Answer 17

yup

Answer 18

because this is 30-60-90, do you know what the ? without using the pythagorean theorem?