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Editorial Team
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Editorial Team
Asked: May 15, 20262026-05-15T03:05:00+00:00 2026-05-15T03:05:00+00:00

Here’s a math/geometry problem for the math whizzes (not my strongest subject). This is

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Here’s a math/geometry problem for the math whizzes (not my strongest subject). This is for WPF, but should be general enough to solve regardless:

I have two embedded Border elements, with the outer one having a certain corner radius, R and border thickness, T. Given these two values, what should the corner radius of the inner Border, R' be set to such that the two corner edges meet with no overlap or holes?

alt text

So far I’ve just been eyeballing it, but if someone can give me a proper formula that would be great. Respect points if you can!! 😉

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  1. Editorial Team
    Editorial Team
    2026-05-15T03:05:01+00:00Added an answer on May 15, 2026 at 3:05 am

    T’/2 + R` = R – T/2

    or

    For a given T, R and T’ then R’ = R – T/2 – T’/2

    So for instance for an outer border thickness of (T=10), and radius of (R=8), and an inner border thickness of (T’=4), you’d need an inner border radius of 1.

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