Circumradius of Scalene Triangle by Heron's formula Calculator

✖The Longer Side of Scalene Triangle is the length of the longer side out of the three sides. In other words, the longer side of the Scalene Triangle is the side opposite to the larger angle.ⓘ Longer Side of Scalene Triangle [S_Longer]			+10% -10%
✖The Medium Side of Scalene Triangle is the length of the second longer side out of the three sides.ⓘ Medium Side of Scalene Triangle [S_Medium]			+10% -10%
✖Shorter Side of Scalene Triangle is the length of the shorter side out of the three sides. In other words, shorter side of the Scalene Triangle is the side opposite to the smaller angle.ⓘ Shorter Side of Scalene Triangle [S_Shorter]			+10% -10%
✖Semiperimeter of Scalene Triangle is half of the total length of the boundary of the given Scalene Triangle.ⓘ Semiperimeter of Scalene Triangle [s]			+10% -10%

✖The Circumradius of Scalene Triangle is the radius of a circumcircle touching each of the vertices of the Scalene Triangle.ⓘ Circumradius of Scalene Triangle by Heron's formula [r_c]

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Circumradius of Scalene Triangle by Heron's formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Scalene Triangle = (Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*Shorter Side of Scalene Triangle)/(4*sqrt(Semiperimeter of Scalene Triangle*(Semiperimeter of Scalene Triangle-Longer Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Medium Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Shorter Side of Scalene Triangle)))
r_c = (S_Longer*S_Medium*S_Shorter)/(4*sqrt(s*(s-S_Longer)*(s-S_Medium)*(s-S_Shorter)))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Circumradius of Scalene Triangle - (Measured in Meter) - The Circumradius of Scalene Triangle is the radius of a circumcircle touching each of the vertices of the Scalene Triangle.
Longer Side of Scalene Triangle - (Measured in Meter) - The Longer Side of Scalene Triangle is the length of the longer side out of the three sides. In other words, the longer side of the Scalene Triangle is the side opposite to the larger angle.
Medium Side of Scalene Triangle - (Measured in Meter) - The Medium Side of Scalene Triangle is the length of the second longer side out of the three sides.
Shorter Side of Scalene Triangle - (Measured in Meter) - Shorter Side of Scalene Triangle is the length of the shorter side out of the three sides. In other words, shorter side of the Scalene Triangle is the side opposite to the smaller angle.
Semiperimeter of Scalene Triangle - (Measured in Meter) - Semiperimeter of Scalene Triangle is half of the total length of the boundary of the given Scalene Triangle.

STEP 1: Convert Input(s) to Base Unit

Longer Side of Scalene Triangle: 20 Meter --> 20 Meter No Conversion Required
Medium Side of Scalene Triangle: 14 Meter --> 14 Meter No Conversion Required
Shorter Side of Scalene Triangle: 10 Meter --> 10 Meter No Conversion Required
Semiperimeter of Scalene Triangle: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (S_Longer*S_Medium*S_Shorter)/(4*sqrt(s*(s-S_Longer)*(s-S_Medium)*(s-S_Shorter))) --> (20*14*10)/(4*sqrt(22*(22-20)*(22-14)*(22-10)))

Evaluating ... ...

r_c = 10.7705054606916

STEP 3: Convert Result to Output's Unit

10.7705054606916 Meter --> No Conversion Required

FINAL ANSWER

10.7705054606916 ≈ 10.77051 Meter <-- Circumradius of Scalene Triangle

(Calculation completed in 00.007 seconds)

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< Circumradius of Scalene Triangle Calculators

Circumradius of Scalene Triangle by Heron's formula

LaTeX Go Circumradius of Scalene Triangle = (Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*Shorter Side of Scalene Triangle)/(4*sqrt(Semiperimeter of Scalene Triangle*(Semiperimeter of Scalene Triangle-Longer Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Medium Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Shorter Side of Scalene Triangle)))

Circumradius of Scalene Triangle given Shorter Side and Smaller Angle

LaTeX Go Circumradius of Scalene Triangle = Shorter Side of Scalene Triangle/(2*sin(Smaller Angle of Scalene Triangle))

Circumradius of Scalene Triangle given Longer Side and Larger Angle

LaTeX Go Circumradius of Scalene Triangle = Longer Side of Scalene Triangle/(2*sin(Larger Angle of Scalene Triangle))

Circumradius of Scalene Triangle given Medium Side and Medium Angle

LaTeX Go Circumradius of Scalene Triangle = Medium Side of Scalene Triangle/(2*sin(Medium Angle of Scalene Triangle))

Circumradius of Scalene Triangle by Heron's formula Formula

LaTeX Go

Circumcircle and Circumradius of Scalene Triangle

For any Triangle (even if it is not a Scalene Triangle), there exists a unique Circle which passes through all the three vertices of the Triangle. Such a circle is called the Circumcircle of the given Triangle. Then the radius of the Circumcircle is called the Circumradius.

What is a Scalene Triangle?

A triangle with all sides distinct in length is called a Scalene Triangle. Mainly triangles are classified into three on the basis of side lengths. If all sides are equal in length then it is called Equilateral Triangle. If only two sides are equal in length then it is called Isosceles Triangle. If no sides are equal, or all sides are distinct in length then it is called Scalene Triangle. Cases are similar in terms of angles also. That is, Equilateral Triangles have all three angles equal. Isosceles Triangles have atleast two angles are equal. And then, Scalene Triangles have all three angles are distinct.

How to Calculate Circumradius of Scalene Triangle by Heron's formula?

Circumradius of Scalene Triangle by Heron's formula calculator uses Circumradius of Scalene Triangle = (Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*Shorter Side of Scalene Triangle)/(4*sqrt(Semiperimeter of Scalene Triangle*(Semiperimeter of Scalene Triangle-Longer Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Medium Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Shorter Side of Scalene Triangle))) to calculate the Circumradius of Scalene Triangle, The Circumradius of Scalene Triangle by Heron's formula is defined as the radius of a circumcircle touching each of the vertices of the Scalene Triangle based on Heron's formula. Circumradius of Scalene Triangle is denoted by r_c symbol.

How to calculate Circumradius of Scalene Triangle by Heron's formula using this online calculator? To use this online calculator for Circumradius of Scalene Triangle by Heron's formula, enter Longer Side of Scalene Triangle (S_Longer), Medium Side of Scalene Triangle (S_Medium), Shorter Side of Scalene Triangle (S_Shorter) & Semiperimeter of Scalene Triangle (s) and hit the calculate button. Here is how the Circumradius of Scalene Triangle by Heron's formula calculation can be explained with given input values -> 10.77051 = (20*14*10)/(4*sqrt(22*(22-20)*(22-14)*(22-10))).

FAQ

What is Circumradius of Scalene Triangle by Heron's formula?

The Circumradius of Scalene Triangle by Heron's formula is defined as the radius of a circumcircle touching each of the vertices of the Scalene Triangle based on Heron's formula and is represented as r_c = (S_Longer*S_Medium*S_Shorter)/(4*sqrt(s*(s-S_Longer)*(s-S_Medium)*(s-S_Shorter))) or Circumradius of Scalene Triangle = (Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*Shorter Side of Scalene Triangle)/(4*sqrt(Semiperimeter of Scalene Triangle*(Semiperimeter of Scalene Triangle-Longer Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Medium Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Shorter Side of Scalene Triangle))). The Longer Side of Scalene Triangle is the length of the longer side out of the three sides. In other words, the longer side of the Scalene Triangle is the side opposite to the larger angle, The Medium Side of Scalene Triangle is the length of the second longer side out of the three sides, Shorter Side of Scalene Triangle is the length of the shorter side out of the three sides. In other words, shorter side of the Scalene Triangle is the side opposite to the smaller angle & Semiperimeter of Scalene Triangle is half of the total length of the boundary of the given Scalene Triangle.

How to calculate Circumradius of Scalene Triangle by Heron's formula?

The Circumradius of Scalene Triangle by Heron's formula is defined as the radius of a circumcircle touching each of the vertices of the Scalene Triangle based on Heron's formula is calculated using Circumradius of Scalene Triangle = (Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*Shorter Side of Scalene Triangle)/(4*sqrt(Semiperimeter of Scalene Triangle*(Semiperimeter of Scalene Triangle-Longer Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Medium Side of Scalene Triangle)*(Semiperimeter of Scalene Triangle-Shorter Side of Scalene Triangle))). To calculate Circumradius of Scalene Triangle by Heron's formula, you need Longer Side of Scalene Triangle (S_Longer), Medium Side of Scalene Triangle (S_Medium), Shorter Side of Scalene Triangle (S_Shorter) & Semiperimeter of Scalene Triangle (s). With our tool, you need to enter the respective value for Longer Side of Scalene Triangle, Medium Side of Scalene Triangle, Shorter Side of Scalene Triangle & Semiperimeter of Scalene Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Circumradius of Scalene Triangle?

In this formula, Circumradius of Scalene Triangle uses Longer Side of Scalene Triangle, Medium Side of Scalene Triangle, Shorter Side of Scalene Triangle & Semiperimeter of Scalene Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumradius of Scalene Triangle = Longer Side of Scalene Triangle/(2*sin(Larger Angle of Scalene Triangle))
Circumradius of Scalene Triangle = Shorter Side of Scalene Triangle/(2*sin(Smaller Angle of Scalene Triangle))
Circumradius of Scalene Triangle = Medium Side of Scalene Triangle/(2*sin(Medium Angle of Scalene Triangle))

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