Question

I need help ASAP on this question.

Answer 1

@ganeshie8 would you be able to help me on this problem?

Answer 2

@aaronq , @mathstudent55 , @mathmale , @myko please i need help on this

Answer 3

@mathmale ?

Answer 4

This is chapter 14 in trig

Answer 5

Length of on side of the regular n-gon l can be calculated by using cosine formula or some other method.
Using cosine formula, \(l = sin ^2 \frac{\pi}{n} \)
So the perimeter of the n-gon is \( n \times l = n \times \sin ^2 \frac{\pi}{n}\)
Now put different values of n.
For instance (a) n = 3
\(Perimeter = 3 \times sin ^2 \frac{\pi}{3} = 3 \times 3/4 = 9/4 \)
Similarly do for other values of n

Answer 6

*one

Answer 7

Sorry! Actually, \( l = 2 \times sin \frac{\pi}{n} \)

Answer 8

so not sin^2 pi/n right?

Answer 9

ok got it

Answer 10

I need help on letter g because it is just a variable and any type of explanation for it would be helpful as well.

Answer 11

@amistre64

Answer 12

any help on letter g would be appreciated

Answer 13

@Squirrels

Answer 14

part g is a generalization, can you develop a formula, or is there a formula given to find the required solution for any n-sided polygon

Answer 15

i notice it hints at law of cosines ...

Answer 16

The equation I used was from @ShailKumar

Answer 17

c^2 = a^2 + b^2 -2ab cos(C)

seeing that this is in a unit circle, the a=b=1

c^2 = 2 -2cos(C)

c^2 = 2(1-cos(C))

etc

Answer 18

if the required angle is in radians, then C = 2pi/n
if in degrees then its C = 360/n

and since c is equal to 1 side, we need n sides

Answer 19

the equation I was using to solve for the other numbers was