Homework Help is Here – Start Your Trial Now!
Math
Geometry
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.
Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 38CR: Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of...
See similar textbooks
icon
Related questions
Question
100%

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)?

Expert Solution
steps

Step by step

Solved in 1 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
SEE MORE TEXTBOOKS