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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)?

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
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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