Formulas: Radius of Inscribed and Circumscribed Circle in a Triangle

8:26 PM | Published Unknown | 7 comments
One of the common word problems in plane geometry is finding either the radius of the inscribed circle or the radius of circumscribed circle in a triangle. Familiarize yourself with the different formulas of finding the radius according to the kind of triangles involved. The efficiency of getting the correct solutions for every problems is directly proportional to number of times you practice solving similar problems.

Right Triangle: Inscribed and Circumscribed Circle Formulas

Right Triangle: Inscribed and Circumscribed Circle Formulas

Isosceles Triangle: Inscribed and Circumscribed Circle Formulas

Isosceles Triangle: Inscribed and Circumscribed Circle Formulas

Equilateral Triangle: Inscribed and Circumscribed Circle Formulas

Equilateral Triangle: Inscribed and Circumscribed Circle Formulas

Scalene Triangle: Inscribed and Circumscribed Circle Formulas

Scalene Triangle: Inscribed and Circumscribed Circle Formulas
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7 comments:

  1. Mr. BatrezFebruary 14, 2018 at 10:25 AM

    It's wrong formula scalene triangle for R. Should be abc/(4sqrt(s(s-a)(s-b)(s-c))) where s=.5(a + b +c)

    ReplyDelete
  2. UnknownSeptember 16, 2018 at 10:59 PM

    What does s mean

    ReplyDelete
  3. UnknownJanuary 7, 2019 at 12:06 PM

    What re S, P, AT?

    ReplyDelete
  4. UnknownJanuary 7, 2019 at 12:07 PM

    I meant what are ...S, P, AT

    ReplyDelete
  5. UnknownFebruary 16, 2020 at 2:04 AM

    Thanks for this...

    ReplyDelete
  6. Tyson HoltMay 13, 2025 at 4:45 PM

    I'm excited to practice these formulas for finding the radii of inscribed and circumscribed circles in different types of triangles.

    ReplyDelete

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