Circumradius of Isosceles Right Triangle given Inradius Calculator

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

+10%

-10%

✖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 given Inradius [r_c]

⎘ Copy

👎

Formula

✖

Circumradius of Isosceles Right Triangle given Inradius

Formula

`"r"_{"c"} = ((2+sqrt(2))*"r"_{"i "})/(sqrt(2))`

Example

`"4.828427m"=((2+sqrt(2))*"2m")/(sqrt(2))`

Calculator

LaTeX

Reset

👍

Download Isosceles Right Triangle Formula PDF PDF Image

Circumradius of Isosceles Right Triangle given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Isosceles Right Triangle = ((2+sqrt(2))*Inradius of Isosceles Right Triangle)/(sqrt(2))
r_c = ((2+sqrt(2))*r_i)/(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.
Inradius of Isosceles Right Triangle - (Measured in Meter) - The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Isosceles Right Triangle: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = ((2+sqrt(2))*r_i)/(sqrt(2)) --> ((2+sqrt(2))*2)/(sqrt(2))

Evaluating ... ...

r_c = 4.82842712474619

STEP 3: Convert Result to Output's Unit

4.82842712474619 Meter --> No Conversion Required

FINAL ANSWER

4.82842712474619 ≈ 4.828427 Meter <-- Circumradius of Isosceles Right Triangle

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Triangle » Isosceles Right Triangle » Radius of Isosceles Right Triangle » Circumradius of Isosceles Right Triangle » Circumradius of Isosceles Right Triangle given Inradius

Credits

Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 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

Circumradius of Isosceles Right Triangle given Inradius Formula

Circumradius of Isosceles Right Triangle = ((2+sqrt(2))*Inradius of Isosceles Right Triangle)/(sqrt(2))
r_c = ((2+sqrt(2))*r_i)/(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 does Circumcircle mean?

The circumcircle always passes through all three vertices of a triangle. Its center is at the point where all the perpendicular bisectors of the triangle's sides meet. This center is called the circumcenter.

How to Calculate Circumradius of Isosceles Right Triangle given Inradius?

Circumradius of Isosceles Right Triangle given Inradius calculator uses Circumradius of Isosceles Right Triangle = ((2+sqrt(2))*Inradius of Isosceles Right Triangle)/(sqrt(2)) to calculate the Circumradius of Isosceles Right Triangle, Circumradius of Isosceles Right Triangle given Inradius formula is defined as the length of the radius of the circumscribed circle of the Isosceles Right Triangle, calculated using its inradius. Circumradius of Isosceles Right Triangle is denoted by r_c symbol.

How to calculate Circumradius of Isosceles Right Triangle given Inradius using this online calculator? To use this online calculator for Circumradius of Isosceles Right Triangle given Inradius, enter Inradius of Isosceles Right Triangle (r_i) and hit the calculate button. Here is how the Circumradius of Isosceles Right Triangle given Inradius calculation can be explained with given input values -> 4.828427 = ((2+sqrt(2))*2)/(sqrt(2)).

FAQ

What is Circumradius of Isosceles Right Triangle given Inradius?

Circumradius of Isosceles Right Triangle given Inradius formula is defined as the length of the radius of the circumscribed circle of the Isosceles Right Triangle, calculated using its inradius and is represented as r_c = ((2+sqrt(2))*r_i)/(sqrt(2)) or Circumradius of Isosceles Right Triangle = ((2+sqrt(2))*Inradius of Isosceles Right Triangle)/(sqrt(2)). The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.

How to calculate Circumradius of Isosceles Right Triangle given Inradius?

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

Home

FREE PDFs

🔍 Search