the directions are simple, find the area of the shaded region without any need of calculus or higher
i dont want to give away the thoughts that ive already made for this, this is not something that has a due date. i just want to figure it out and also want to know if i could get my answer (when it eventually comes) seconded


This post was edited by hellomoto13 on Dec 4 2013 06:48pm

just take the arc length of the inner and the outer and do outer-inner i believe

arc length gives the distance of an arc, like as if it was the distance of a curved line straightened out. this is an area

oooh, a bunch of geometry with a little bit of trig, looks fun!
A good place to start is finding the area of each individual shape and going from there. The toughest one to find should be the circle inside the triangle.

actually that is quite trivial
notice that the triangle is equilateral
that means the radius of the inscribed circle is sqrt(3) / 3

Correctamundo!
I was trying to just give him hints since he wants to attempt to get an answer on his own and check his work afterwards.
But that is a great head start I suppose!

i can already figure out the area of all the individual shapes (as a whole). but finding the correct way to find just that sliver is what im strugling with.
keep in mind this is just for fun and im looking for other people strong in math to exchange ideas with, this is not an assignment so you dont have to 'lead' me to the right answer (im a tutor for a living in math k-12 and just like to do these kinds of things for fun).
if you attempt to give a straight answer to a certain portion of the problem or the entire problem, the way i look at it is to critique it or use that idea for a larger idea.
keep the ideas flowing though guys i like this

well, since we know the radii of the 2 circles, we know the equations of the circles (x^2+y^2 = r^2)

also, using the information given, I think we could parametrize the triangle

then maybe set some equations equal, look for intersections and idk i have no idea what im talking about

btw can i have 20 fg lol (I know it's not an assignment but i just wanna play some poker)

This post was edited by JDota72 on Dec 4 2013 10:05pm

i dont support your gambling habits sir, but ty for your comments :). thinking of not making this into a cartesian plane so prolly wont use x^2+y^2 = r^2

I am pretty sure I got it

I tried to solve for the sliver at the end of the red and came up with only dead ends.
here's a hint
try to think of a spade's tail


This post was edited by saber_x3 on Dec 5 2013 06:55pm