High School Geometry Refresher?

[Chojin]

I need to measure some irregular objects here at the site for area. Some of these areas are circular, some have rounded corners. I need a refresher on my highschool geometry. Does anyone know of ways the internet could help me here?

[Esuohlim]

Rounded corners is more of a calculus thing, I think.

Try this: http://library.thinkquest.org/20991/textonly/geo/solids.html

[Chojin]

This is pretty useful:

http://en.wikibooks.org/wiki/Geometry

Comments and suggestions are still welcome

[Chojin]

milhouse that link you gave me doesn't have anything to do with planar area, just cubic/volume/etc stuff. I'm trying to figure out square footage in rounded rooms. My link isn't being too helpful with that, either.

[RaNkeri]

I remember that circles are can be solved if you know the length of it's r

A=pi*r*r

if the other are your talking about is an ellips(sorry, don't know the english word for it), you must know it's lenght(a) and heigth(b)

then, you can solve it's area

A= pi*a*b

[Schimid]

it's all about the radius baby

[Guitar Woman]

what's with the round offices?

[DeadKennedys]

what's with the round offices?

The oval office, dickhead

[Marc Summers]

THE MATH WAY :eek

1. Complete the circle that the rounded corner would make if it kept turning.

http://img140.imageshack.us/img140/6545/15wh1.png

2. Calculate the area of that circle like so:
a. Draw a straight line connecting two points of the circle, I think it's called a cord. It doesn't matter if it's directly in the center or not. Call this line A.

b. Mark the midpoint of A.

c. Draw a perpendicular line through the midpoint of A, connecting what will now be two opposite ends of the circle. Call this line B. I eyeballed this, so it's a little off ;/

d. Line B is now your diameter. Half of it is the radius, the midpoint is in the absolute center of the circle. Area is pi * r * r.

http://img103.imageshack.us/img103/2975/23ls.png

3. Draw a square that barely touches (is tangent to) the circle on all of the square's sides.

http://img103.imageshack.us/img103/1826/36wl.png

4. Area of the square is side * side, subtract the area of the circle to get the area between the circle and square.

http://img103.imageshack.us/img103/420/49qg.png

5. Divide #4's area by 4. Exactly 1/4 of the area from number 4 is outside the curve, yet within the square.

http://img140.imageshack.us/img140/7053/5a5lf.png

6. Multiply #5 by 4 for the 4 rounded corners, and subtract that from the area of the shape as if it was a rectangle with points instead of curves. Ummm, I guess you could leave this and #5 alone since they basically cancel each other out, but it's good to show my work...I guess...:(

http://img159.imageshack.us/img159/9702/5b7mj.png

Rankeri is almost right about the area of an ellipse: Pi * A * B. But A is half the length and B is half the height, just like the radius is half the diameter.

Yea...I'm kinda bored right now...

[MLE]

hey i remember that now! how refreshing!

[camacazio]

I forget how to do math without calculus.

I read that with geniune entertainment. I like math. :(

[Supafly345]

you+me=us

[GADZOOKS]

haha, you guys were like MATH STINKS I'LL NEVER USE IT, but look at you now, you never thought a rounded table would come into your lives.

BUT THEY ALWAYS DO KIDS, REMEMBER MATH!

[DamnthatDavid]

hahah, the only reason I passed math was me copying off of Supafly.

[camacazio]

I still want to see his alleged "square wheel" model.

[The One and Only...]

Calculus makes math infinitely more enjoyable. I'm guessing that the rounded table is a function of the angle or parametric?

[kahljorn]

My penis vomitted after reading the post above mine.

[Blue Fox]

i hate math.
it was the only class i got a B in this quarter.
stupid teacher, i hope she chokes on something. >:

[Chojin]

Thanks for going to all that trouble, Marc, it really did help :picklehat

Blue Fox, does your rearrival mean that the prophecy of George has been fulfilled and that he will return a final time to give us a thousand years of peace?