Circumradius of Isosceles Triangle Calculator

✖The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.ⓘ Legs of Isosceles Triangle [S_Legs]			+10% -10%
✖Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.ⓘ Base of Isosceles Triangle [S_Base]			+10% -10%

✖The Inradius of Isosceles Triangle is defined as the radius of the circle inscribed inside the Isosceles Triangle.ⓘ Circumradius of Isosceles Triangle [r_i]

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Circumradius of Isosceles Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Isosceles Triangle = Legs of Isosceles Triangle^2/sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2)
r_i = S_Legs^2/sqrt(4*S_Legs^2-S_Base^2)
This formula uses 1 Functions, 3 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

Inradius of Isosceles Triangle - (Measured in Meter) - The Inradius of Isosceles Triangle is defined as the radius of the circle inscribed inside the Isosceles Triangle.
Legs of Isosceles Triangle - (Measured in Meter) - The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.
Base of Isosceles Triangle - (Measured in Meter) - Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.

STEP 1: Convert Input(s) to Base Unit

Legs of Isosceles Triangle: 9 Meter --> 9 Meter No Conversion Required
Base of Isosceles Triangle: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = S_Legs^2/sqrt(4*S_Legs^2-S_Base^2) --> 9^2/sqrt(4*9^2-6^2)

Evaluating ... ...

r_i = 4.7729707730092

STEP 3: Convert Result to Output's Unit

4.7729707730092 Meter --> No Conversion Required

FINAL ANSWER

4.7729707730092 ≈ 4.772971 Meter <-- Inradius of Isosceles Triangle

(Calculation completed in 00.020 seconds)

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< Radius of Isosceles Triangle Calculators

Inradius of Isosceles Triangle

LaTeX Go Inradius of Isosceles Triangle = Base of Isosceles Triangle/2*sqrt((2*Legs of Isosceles Triangle-Base of Isosceles Triangle)/(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))

Inradius of Isosceles Triangle given Legs and Base Angle

LaTeX Go Inradius of Isosceles Triangle = Legs of Isosceles Triangle*cos(Base Angles of Isosceles Triangle)*tan(Base Angles of Isosceles Triangle/2)

Circumradius of Isosceles Triangle

LaTeX Go Inradius of Isosceles Triangle = Legs of Isosceles Triangle^2/sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2)

Circumradius of Isosceles Triangle given Legs and Height

LaTeX Go Circumradius of Isosceles Triangle = Legs of Isosceles Triangle^2/(2*Height of Isosceles Triangle)

< Radius of Isosceles Triangle Calculators

Inradius of Isosceles Triangle given Base and Height

LaTeX Go Inradius of Isosceles Triangle = (Base of Isosceles Triangle*Height of Isosceles Triangle)/(Base of Isosceles Triangle+sqrt(4*Height of Isosceles Triangle^2+Base of Isosceles Triangle^2))

Inradius of Isosceles Triangle

LaTeX Go Inradius of Isosceles Triangle = Base of Isosceles Triangle/2*sqrt((2*Legs of Isosceles Triangle-Base of Isosceles Triangle)/(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))

Inradius of Isosceles Triangle given Legs and Base Angle

LaTeX Go Inradius of Isosceles Triangle = Legs of Isosceles Triangle*cos(Base Angles of Isosceles Triangle)*tan(Base Angles of Isosceles Triangle/2)

Circumradius of Isosceles Triangle

LaTeX Go Inradius of Isosceles Triangle = Legs of Isosceles Triangle^2/sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2)

Circumradius of Isosceles Triangle Formula

LaTeX Go

Inradius of Isosceles Triangle = Legs of Isosceles Triangle^2/sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2)
r_i = S_Legs^2/sqrt(4*S_Legs^2-S_Base^2)

What is an Isosceles Triangle?

An Isosceles Triangle is a triangle with two sides of equal length, which are called legs. The third side of the triangle is called the base. Vertex angle is the angle between the legs and the angles with the base as one of their sides are called the base angles.

How to Calculate Circumradius of Isosceles Triangle?

Circumradius of Isosceles Triangle calculator uses Inradius of Isosceles Triangle = Legs of Isosceles Triangle^2/sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2) to calculate the Inradius of Isosceles Triangle, The Circumradius of Isosceles Triangle formula is defined as the radius of the circle circumscribing the Isosceles Triangle. Inradius of Isosceles Triangle is denoted by r_i symbol.

How to calculate Circumradius of Isosceles Triangle using this online calculator? To use this online calculator for Circumradius of Isosceles Triangle, enter Legs of Isosceles Triangle (S_Legs) & Base of Isosceles Triangle (S_Base) and hit the calculate button. Here is how the Circumradius of Isosceles Triangle calculation can be explained with given input values -> 4.772971 = 9^2/sqrt(4*9^2-6^2).

FAQ

What is Circumradius of Isosceles Triangle?

The Circumradius of Isosceles Triangle formula is defined as the radius of the circle circumscribing the Isosceles Triangle and is represented as r_i = S_Legs^2/sqrt(4*S_Legs^2-S_Base^2) or Inradius of Isosceles Triangle = Legs of Isosceles Triangle^2/sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2). The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle & Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.

How to calculate Circumradius of Isosceles Triangle?

The Circumradius of Isosceles Triangle formula is defined as the radius of the circle circumscribing the Isosceles Triangle is calculated using Inradius of Isosceles Triangle = Legs of Isosceles Triangle^2/sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2). To calculate Circumradius of Isosceles Triangle, you need Legs of Isosceles Triangle (S_Legs) & Base of Isosceles Triangle (S_Base). With our tool, you need to enter the respective value for Legs of Isosceles Triangle & Base of Isosceles 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 Inradius of Isosceles Triangle?

In this formula, Inradius of Isosceles Triangle uses Legs of Isosceles Triangle & Base of Isosceles Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Inradius of Isosceles Triangle = Base of Isosceles Triangle/2*sqrt((2*Legs of Isosceles Triangle-Base of Isosceles Triangle)/(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))
Inradius of Isosceles Triangle = Legs of Isosceles Triangle*cos(Base Angles of Isosceles Triangle)*tan(Base Angles of Isosceles Triangle/2)
Inradius of Isosceles Triangle = (Height of Isosceles Triangle*sqrt(Legs of Isosceles Triangle^2-Height of Isosceles Triangle^2))/(Legs of Isosceles Triangle+sqrt(Legs of Isosceles Triangle^2-Height of Isosceles Triangle^2))

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