Thread: Math Quiz 9
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Unread 23-08-2016, 11:10
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Re: Math Quiz 9
Quote:
Originally Posted by Ether View Post
Question for Gus:

What is the average length of all the vertical line segments in a unit circle?
If I may,
Spoiler for Thoughts:

My approach would be to take the top semicircle (equation y=sqrt(1-x^2)) and find the average value of those vertical segments by integrating from -1 to 1 and dividing the area by the base (-1 to 1 is 2). Then, you could multiply by 2 for a full circle. Answer comes out to pi/2.

Work attached below.

EDIT: Gosh darn I only did those with both points touching the the edges. Lemme work on that.
Attached Files
File Type: docx math.docx (16.7 KB, 3 views)
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Last edited by Hitchhiker 42 : 23-08-2016 at 11:27.
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