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

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Discussion Overview

The discussion revolves around finding the area of a circle segment without knowing the angle. Participants explore various methods and formulas related to the area calculation, focusing on the relationship between the segment, triangle, and sector areas.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant presents the problem of calculating the area of a circle segment given specific dimensions but lacking the angle, mentioning a formula that requires the angle.
  • Another participant suggests subtracting the area of the triangle from the area of the sector as a potential solution.
  • A third participant reiterates confusion about the explanation, indicating difficulty in understanding the proposed method.
  • A later reply humorously suggests that adding the segment to the triangle results in a "piece of pie," implying a visual or conceptual approach to the problem.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to approach the problem, with some expressing confusion and others offering different methods without clear agreement on their effectiveness.

Contextual Notes

The discussion lacks clarity on the assumptions needed for the formulas presented, particularly regarding the angle and its implications for the area calculations.

ladil123
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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
 

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Hello ladil123! :smile:

Subtract the area of the triangle from the area of the sector. :wink:
 
Sorry, I am too slow to get it...
 
ladil123 said:
Sorry, I am too slow to get it...

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

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