So... how do I find the area of a circle segment without knowing the angle?

[ladil123]

Hello!



How do i get the area of this segment on the top of the circle?

w=44.5 mm
h=10.35 mm
r=34.9 mm


I have found some formulas for calculating the area, but it seems like I need some angle.. ? What If i don't know the angle...?

A=0.5*r*(b-w)+w*h

b is the arc length, b = r*angle*pi/180

How do I use this angle?

I know that the answer should be approx 696 mm2 from a computer program, but I can't do it analytically...


Need help

 

[tiny-tim]

Hello ladil123!

Subtract the area of the triangle from the area of the sector.

 

[ladil123]

Sorry, I am too slow to get it...

 

[tiny-tim]

Sorry, I am too slow to get it...

Add the segment to the obvious triangle, and you get a "piece of pie".