Circumradius of Scalene Triangle given Shorter Side and Smaller Angle Calculator

✖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%
✖The Smaller Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite the shorter side of the Scalene Triangle.ⓘ Smaller Angle of Scalene Triangle [∠_Smaller]			+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 given Shorter Side and Smaller Angle [r_c]

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Circumradius of Scalene Triangle given Shorter Side and Smaller Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Scalene Triangle = Shorter Side of Scalene Triangle/(2*sin(Smaller Angle of Scalene Triangle))
r_c = S_Shorter/(2*sin(∠_Smaller))
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

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.
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.
Smaller Angle of Scalene Triangle - (Measured in Radian) - The Smaller Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite the shorter side of the Scalene Triangle.

STEP 1: Convert Input(s) to Base Unit

Shorter Side of Scalene Triangle: 10 Meter --> 10 Meter No Conversion Required
Smaller Angle of Scalene Triangle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = S_Shorter/(2*sin(∠_Smaller)) --> 10/(2*sin(0.5235987755982))

Evaluating ... ...

r_c = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Circumradius of Scalene Triangle

(Calculation completed in 00.020 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 given Shorter Side and Smaller Angle Formula

LaTeX Go

Circumradius of Scalene Triangle = Shorter Side of Scalene Triangle/(2*sin(Smaller Angle of Scalene Triangle))
r_c = S_Shorter/(2*sin(∠_Smaller))

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 given Shorter Side and Smaller Angle?

Circumradius of Scalene Triangle given Shorter Side and Smaller Angle calculator uses Circumradius of Scalene Triangle = Shorter Side of Scalene Triangle/(2*sin(Smaller Angle of Scalene Triangle)) to calculate the Circumradius of Scalene Triangle, The Circumradius of Scalene Triangle given Shorter Side and Smaller Angle formula is defined as the radius of a circumcircle touching each of the vertices of the Scalene Triangle, calculated using a shorter side and smaller angle of the Scalene Triangle. Circumradius of Scalene Triangle is denoted by r_c symbol.

How to calculate Circumradius of Scalene Triangle given Shorter Side and Smaller Angle using this online calculator? To use this online calculator for Circumradius of Scalene Triangle given Shorter Side and Smaller Angle, enter Shorter Side of Scalene Triangle (S_Shorter) & Smaller Angle of Scalene Triangle (∠_Smaller) and hit the calculate button. Here is how the Circumradius of Scalene Triangle given Shorter Side and Smaller Angle calculation can be explained with given input values -> 10 = 10/(2*sin(0.5235987755982)).

FAQ

What is Circumradius of Scalene Triangle given Shorter Side and Smaller Angle?

The Circumradius of Scalene Triangle given Shorter Side and Smaller Angle formula is defined as the radius of a circumcircle touching each of the vertices of the Scalene Triangle, calculated using a shorter side and smaller angle of the Scalene Triangle and is represented as r_c = S_Shorter/(2*sin(∠_Smaller)) or Circumradius of Scalene Triangle = Shorter Side of Scalene Triangle/(2*sin(Smaller Angle of Scalene Triangle)). 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 & The Smaller Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite the shorter side of the Scalene Triangle.

How to calculate Circumradius of Scalene Triangle given Shorter Side and Smaller Angle?

The Circumradius of Scalene Triangle given Shorter Side and Smaller Angle formula is defined as the radius of a circumcircle touching each of the vertices of the Scalene Triangle, calculated using a shorter side and smaller angle of the Scalene Triangle is calculated using Circumradius of Scalene Triangle = Shorter Side of Scalene Triangle/(2*sin(Smaller Angle of Scalene Triangle)). To calculate Circumradius of Scalene Triangle given Shorter Side and Smaller Angle, you need Shorter Side of Scalene Triangle (S_Shorter) & Smaller Angle of Scalene Triangle (∠_Smaller). With our tool, you need to enter the respective value for Shorter Side of Scalene Triangle & Smaller Angle 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 Shorter Side of Scalene Triangle & Smaller Angle 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 = Medium Side of Scalene Triangle/(2*sin(Medium Angle of Scalene Triangle))
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)))

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