Circumradius of Isosceles Right Triangle Calculator

✖The Legs of Isosceles Right Triangle are the two equal sides, of the three sides of the Isosceles Right Triangle, which are perpendicular to each other.ⓘ Legs of Isosceles Right Triangle [S_Legs]

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✖Circumradius of Isosceles Right Triangle is the radius of a circumcircle touching each of the vertices of the Isosceles Right Triangle.ⓘ Circumradius of Isosceles Right Triangle [r_c]

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Formula

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Circumradius of Isosceles Right Triangle

Formula

`"r"_{"c"} = "S"_{"Legs"}/sqrt(2)`

Example

`"5.656854m"="8m"/sqrt(2)`

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Download Isosceles Right Triangle Formula PDF

Circumradius of Isosceles Right Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Isosceles Right Triangle = Legs of Isosceles Right Triangle/sqrt(2)
r_c = S_Legs/sqrt(2)
This formula uses 1 Functions, 2 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 Isosceles Right Triangle - (Measured in Meter) - Circumradius of Isosceles Right Triangle is the radius of a circumcircle touching each of the vertices of the Isosceles Right Triangle.
Legs of Isosceles Right Triangle - (Measured in Meter) - The Legs of Isosceles Right Triangle are the two equal sides, of the three sides of the Isosceles Right Triangle, which are perpendicular to each other.

STEP 1: Convert Input(s) to Base Unit

Legs of Isosceles Right Triangle: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = S_Legs/sqrt(2) --> 8/sqrt(2)

Evaluating ... ...

r_c = 5.65685424949238

STEP 3: Convert Result to Output's Unit

5.65685424949238 Meter --> No Conversion Required

FINAL ANSWER

5.65685424949238 ≈ 5.656854 Meter <-- Circumradius of Isosceles Right Triangle

(Calculation completed in 00.004 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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Walchand College of Engineering (WCE), Sangli

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< 5 Circumradius of Isosceles Right Triangle Calculators

Circumradius of Isosceles Right Triangle given Inradius

Go Circumradius of Isosceles Right Triangle = ((2+sqrt(2))*Inradius of Isosceles Right Triangle)/(sqrt(2))

Circumradius of Isosceles Right Triangle given Perimeter

Go Circumradius of Isosceles Right Triangle = Perimeter of Isosceles Right Triangle/(2+2*sqrt(2))

Circumradius of Isosceles Right Triangle

Go Circumradius of Isosceles Right Triangle = Legs of Isosceles Right Triangle/sqrt(2)

Circumradius of Isosceles Right Triangle given Area

Go Circumradius of Isosceles Right Triangle = sqrt(Area of Isosceles Right Triangle)

Circumradius of Isosceles Right Triangle given Hypotenuse

Go Circumradius of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle/2

< 12 Important Formulas of Isosceles Right Triangle Calculators

Perimeter of Isosceles Right Triangle given Median Line on Legs

Go Perimeter of Isosceles Right Triangle = (2+sqrt(2))*(2*Median on Legs of Isosceles Right Triangle)/sqrt(5)

Median Line on Hypotenuse of Isosceles Right Triangle

Go Median on Hypotenuse of Isosceles Right Triangle = Legs of Isosceles Right Triangle/sqrt(2)

Hypotenuse of Isosceles Right Triangle given Perimeter

Go Hypotenuse of Isosceles Right Triangle = Perimeter of Isosceles Right Triangle/(1+sqrt(2))

Median Line on Legs of Isosceles Right Triangle

Go Median on Legs of Isosceles Right Triangle = (sqrt(5)*Legs of Isosceles Right Triangle)/2

Perimeter of Isosceles Right Triangle

Go Perimeter of Isosceles Right Triangle = (2+sqrt(2))*Legs of Isosceles Right Triangle

Circumradius of Isosceles Right Triangle

Go Circumradius of Isosceles Right Triangle = Legs of Isosceles Right Triangle/sqrt(2)

Inradius of Isosceles Right Triangle

Go Inradius of Isosceles Right Triangle = Legs of Isosceles Right Triangle/(2+sqrt(2))

Legs of Isosceles Right Triangle given Hypotenuse

Go Legs of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle/sqrt(2)

Hypotenuse of Isosceles Right Triangle

Go Hypotenuse of Isosceles Right Triangle = sqrt(2)*Legs of Isosceles Right Triangle

Legs of Isosceles Right Triangle given Area

Go Legs of Isosceles Right Triangle = sqrt(2*Area of Isosceles Right Triangle)

Area of Isosceles Right Triangle given Hypotenuse

Go Area of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle^2/4

Area of Isosceles Right Triangle

Go Area of Isosceles Right Triangle = (Legs of Isosceles Right Triangle)^2/2

Circumradius of Isosceles Right Triangle Formula

Circumradius of Isosceles Right Triangle = Legs of Isosceles Right Triangle/sqrt(2)
r_c = S_Legs/sqrt(2)

What is Isosceles Right Triangle?

An Isosceles Right Triangle is a right triangle that consists of two equal-length legs. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent. Since it is a right triangle, the angle between the two legs would be 90 degrees, and the legs would obviously be perpendicular to each other.

What is circumscribed circle?

The circle which passes through all the vertices of any given geometrical figure or a polygon, without crossing the figure. This is also termed as circumcircle. The center of this circle is called the circumcenter and its radius is called the circumradius.

How to Calculate Circumradius of Isosceles Right Triangle?

Circumradius of Isosceles Right Triangle calculator uses Circumradius of Isosceles Right Triangle = Legs of Isosceles Right Triangle/sqrt(2) to calculate the Circumradius of Isosceles Right Triangle, Circumradius of Isosceles Right Triangle formula is defined as the length of the radius of the circumscribed circle of the Isosceles Right Triangle. Circumradius of Isosceles Right Triangle is denoted by r_c symbol.

How to calculate Circumradius of Isosceles Right Triangle using this online calculator? To use this online calculator for Circumradius of Isosceles Right Triangle, enter Legs of Isosceles Right Triangle (S_Legs) and hit the calculate button. Here is how the Circumradius of Isosceles Right Triangle calculation can be explained with given input values -> 5.656854 = 8/sqrt(2).

FAQ

What is Circumradius of Isosceles Right Triangle?

Circumradius of Isosceles Right Triangle formula is defined as the length of the radius of the circumscribed circle of the Isosceles Right Triangle and is represented as r_c = S_Legs/sqrt(2) or Circumradius of Isosceles Right Triangle = Legs of Isosceles Right Triangle/sqrt(2). The Legs of Isosceles Right Triangle are the two equal sides, of the three sides of the Isosceles Right Triangle, which are perpendicular to each other.

How to calculate Circumradius of Isosceles Right Triangle?

Circumradius of Isosceles Right Triangle formula is defined as the length of the radius of the circumscribed circle of the Isosceles Right Triangle is calculated using Circumradius of Isosceles Right Triangle = Legs of Isosceles Right Triangle/sqrt(2). To calculate Circumradius of Isosceles Right Triangle, you need Legs of Isosceles Right Triangle (S_Legs). With our tool, you need to enter the respective value for Legs of Isosceles Right 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 Isosceles Right Triangle?

In this formula, Circumradius of Isosceles Right Triangle uses Legs of Isosceles Right Triangle. We can use 4 other way(s) to calculate the same, which is/are as follows -

Circumradius of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle/2
Circumradius of Isosceles Right Triangle = Perimeter of Isosceles Right Triangle/(2+2*sqrt(2))
Circumradius of Isosceles Right Triangle = sqrt(Area of Isosceles Right Triangle)
Circumradius of Isosceles Right Triangle = ((2+sqrt(2))*Inradius of Isosceles Right Triangle)/(sqrt(2))

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