Suppose that there are two circles with center at origo (0,0). The inner circle has radius a, and the outer circle has radius b. Now suppose that an N amount of equally sized circles with are placed between the inner and outer circle. The N amount of circles have to be placed in a way, such that there is an equal distance between all circles, and each circle must touch the outer circle, and the inner circle. The radius of the N circles is c = (b-a)/2. The question I have, is how do I find an equation, that finds the distance between the N amount of circles, in terms of (a, b, N)?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Suppose that there are two circles with center at origo (0,0). The inner circle has radius a, and the outer circle has radius b. Now suppose that an N amount of equally sized circles with are placed between the inner and outer circle. The N amount of circles have to be placed in a way, such that there is an equal distance between all circles, and each circle must touch the outer circle, and the inner circle.

The radius of the N circles is c = (b-a)/2.

The question I have, is how do I find an equation, that finds the distance between the N amount of circles, in terms of (a, b, N)?

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