Geometry: I want to understand some points (1 Viewer)

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

What is my unknown (say x) if I am finding the value in which an arc of a great circle 10 units long recedes from its chord? (given radius R and angle alpha?)

Here's my figure as an attachment...
 

Attachments

EnumaElish

Science Advisor
Homework Helper
2,273
123
I am guessing, you can express R = xR + (1-x)R where (1-x)R is the height of your (isosceles) triangle and xR is the bit from the chord to the circle.
 
Last edited:

HallsofIvy

Science Advisor
41,626
821
What do you mean by "recedes from its chord"?
 
HallsofIvy, seems like the arc is moving away from its respected chord (form by the two enddpoints of the arc)

My friend told me that x = R - R cos (alpha)... I wonder why....
 

mukundpa

Homework Helper
524
3
He has given the greatest distance between the arc and the chord i.e. the difference of the radius and distance of the chord from the center
 

The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top