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yes?

how would you find the perimeter and area of these two regular polygons??

so 6.93?

i dont understand

ok

are you allowed to use the trig functions on these?

idk

...have you learned sine cosing and tangent?

yea

ok well tangent gives us the opposite over adjacent

ok

so its a 30, 60, 90

make sense?

no it actually isint, and youll see why in a second...

yea

ok

its actually a 36, 54, 90 and heres why:

lemmy draw a picture...

ok

and a triangles angles add up to 180, so 90+54 is 144, leaving us with 36 for the top angle.

ok

so lets use tangent on "a"
that means that A/C = tan(a)

ok

so your perimeter is five times that, because we have five sides

so p=87.19

yeah thats the perimeter

than what would be area?

remember what the area of a triangle was?

no

A=8.718510336

haha no, its not 8.7, its far from 8.7 XD

17.43702067

okay

so i hope you understood all that, goodluck with your geometry

thank you.. can you help me with a couple more

errrrr.... ill try

how would you find the ratio (larger to smaller) of their perimeters and their areas??

ok

okay

2)157.5 degrees.. would n=16?

yes, sorry for late reply

where did the 360 come from?

so it would be 150n=180(n-2)

yep

n=12

yep

170n=180(n-2)
n=36

exactly

ok thank you.. one last one please?

bring it

what would the probability be that a point chosen at random would lie in the shaded region?

imagine if you could fold that drawing, and you folded the shaded regions into the square

ok

what would it look like? how much of the white square can you see?

what would it look like? how much of the white square can you see?

it would be folded onto a square and you wouldnt see any white

equal

so 50%

exactly

thought technically, most people dont choose points near the outside haha but yeah the answer is 50%

thank you so much for your help

no problem