MHB Relationship between inner and outer radius of a two concentric circles

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To calculate the outer radius of two concentric circles that are 24 inches apart, the relationship between the inner radius (r1) and the outer radius (r2) can be expressed as r2 - r1 = 24 inches. Given the inner radius, the outer radius can be determined by adding 24 inches to the inner radius. The equation R - r = k, where k is the distance between the two circles, is also applicable. Visual aids, such as drawings, can help clarify the relationship between the radii. Understanding this relationship is crucial for accurate calculations in geometry.
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If i have two circles that say 24" apart from each other. one inside the other.
and i know the radius of the inside circel, how can i calculate the outside radius
 
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Did you draw a picture?

[TIKZ]
\draw[thick,red] (0,0) circle (4);
\draw[->,thick,red] (0,0) -- (4, 0) node[below, xshift=-1cm] {$r_2$};
\draw[thick,blue] (0,0) circle (2);
\draw[->, thick, blue] (0,0) -- (2, 0) node[below, xshift=-0.75cm] {$r_1$};
[/TIKZ]

$r_2 - r_1 = 24"$ right? And you know $r_1$.
 
Last edited:
Hello, and welcome to MHB! :)

Suppose \(r\) is the radius of the inner circle and \(R\) is the radius of the inner circle, where \(k\) is the difference between the two radii:

$$R-r=k$$

mhb_0015.png
 
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