Alright, I'm trying to study for a big test and I know that the area of a segment of a circle will be on it. Problem is, I can't seem to get the formula for it to work. I've gone over it countless times, placed it in Google, etc. to no avail.
I'm taking a look at this site here: http://www.mathopenref.com/segmentarea.html
I've currently got the inside angle to 180 degrees so make it easier for me to make sure my method was correct.
Here are the details:
A circle with: -Radius of 3.5 -Central Angle of 180 degrees
It says to use this formula:
So, this should give me a result of about 19.2 which (because of the central angle I chose) can easily be proven by getting the entire circles area (PI*3.5^2=38.48451) and then dividing it by two (38.48451/2=19.24...). So shouldn't this work when doing it in the formula?
3.5^2/2*(PI/180*180 -(sin 180))
Problem is, I always get 24.1493149, which is incorrect. I've tried my handheld calculator, I've even tried the Google calculator with this equation.
I'm obviously making some kind of flaw in the process. Can somebody please explain what though?