Contribution to Book

Mathematical derivations of inscribed & circumscribed radii for three externally touching circles (Geometry of Circles by HCR)

Mathematical Analysis of Three Externally Touching Circles
(2015)
Abstract

All the articles, related to three externally touching circles, have been derived by using simple geometry & trigonometry to calculate inscribed & circumscribed radii. All the articles (formula) are very practical & simple to apply in case studies & practical applications of three externally touching circles in 2-D Geometry. Although these results are also valid in case of three spheres touching one another externally in 3-D geometry. These formula are also used for calculating any of three radii if rest two are known & the dimensions of the rectangle enclosing thee externally touching circles. Here is also the derivation of a general formula for computing the length of common chord of two intersecting circles.

Keywords

- derivations of inscribed & circumscribed radii for three externally touching circles

Disciplines

Publication Date

Winter February 15, 2015
Publisher Statement

outstanding

Citation Information

Harish Chandra Rajpoot Rajpoot. "Mathematical derivations of inscribed & circumscribed radii for three externally touching circles (Geometry of Circles by HCR)" *Mathematical Analysis of Three Externally Touching Circles*(2015)

Available at: http://works.bepress.com/harishchandrarajpoot_hcrajpoot/31/