jclothier
asked on
Calculate the Area of a Triangle
Hi All
I need a formula to calculate the area of a trinagle, but theres a twist. The triangle as a curved face. Heres a picture of what I am talking about
http://www.clothier.org.uk/picture1.jpg
I need to calculate the area using only the dimmensions specified on the drawing, A, B & C.
Many Thanks
I need a formula to calculate the area of a trinagle, but theres a twist. The triangle as a curved face. Heres a picture of what I am talking about
http://www.clothier.org.uk/picture1.jpg
I need to calculate the area using only the dimmensions specified on the drawing, A, B & C.
Many Thanks
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ASKER
Thanks to both of you.
Oceanbeach, The angle is not always going to be 90 degrees and it also is not always going to be a sector of a circle. The formula that you have given is correct based on that so I have awarded you some points.
ozo, Yes you have answered this for me before but after I accepted I couldn't get the formula to work.
L=sqrt(D²-(W/2)²)
R=(4(Z-L)²+W²)/(8*(Z-L))
A = (R²sin¯¹(W/(2R))+W(L-sqrt( R²-(W/2)²) )/2)
I think that the problem was with this part sin¯¹
I note that this time you have changed it to arcsin
This may just be not knowing what I am talking about but this made it work.
Thanks again!
Oceanbeach, The angle is not always going to be 90 degrees and it also is not always going to be a sector of a circle. The formula that you have given is correct based on that so I have awarded you some points.
ozo, Yes you have answered this for me before but after I accepted I couldn't get the formula to work.
L=sqrt(D²-(W/2)²)
R=(4(Z-L)²+W²)/(8*(Z-L))
A = (R²sin¯¹(W/(2R))+W(L-sqrt(
I think that the problem was with this part sin¯¹
I note that this time you have changed it to arcsin
This may just be not knowing what I am talking about but this made it work.
Thanks again!
jclothier,
You know what they say about assumptions....
Aside from bad assumptions, I am glad my thought process was correct. I sure hope I at least helped since you gave me an assist.
Happy number crunching!
You know what they say about assumptions....
Aside from bad assumptions, I am glad my thought process was correct. I sure hope I at least helped since you gave me an assist.
Happy number crunching!
sin¯¹(x) is a notation for arcsin(x)
which can be confusing, since it looks a lot like sin²(x)
which can be confusing, since it looks a lot like sin²(x)
ASKER
Thanks for clearing that up ozo.
Area of a circle = Pi*r^2.
Area of a secotor of a circle = 0.5*r^2*x
angle of sector = x = 2z
r = a = b
sin z = a/(0.5*c)
z = sin^-1(a/(0.5*c))
x = 2*(sin^-1(a/(0.5*c))) = angle of sector of circle
therefore:
Area of a secotor of a circle = 0.5*r^2*x
= 0.5*r^2*(2*(sin^-1(a/(0.5*