Perimeter of Isosceles Right Triangle given Circumradius Calculator

✖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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✖The Perimeter of Isosceles Right Triangle is the total distance around the edge of the triangle.ⓘ Perimeter of Isosceles Right Triangle given Circumradius [P]

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Perimeter of Isosceles Right Triangle given Circumradius

Formula

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

Example

`"28.97056m"=(2+sqrt(2))*sqrt(2)*"6m"`

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Perimeter of Isosceles Right Triangle given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Isosceles Right Triangle = (2+sqrt(2))*sqrt(2)*Circumradius of Isosceles Right Triangle
P = (2+sqrt(2))*sqrt(2)*r_c
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

Perimeter of Isosceles Right Triangle - (Measured in Meter) - The Perimeter of Isosceles Right Triangle is the total distance around the edge of the triangle.
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.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Isosceles Right Triangle: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (2+sqrt(2))*sqrt(2)*r_c --> (2+sqrt(2))*sqrt(2)*6

Evaluating ... ...

P = 28.9705627484771

STEP 3: Convert Result to Output's Unit

28.9705627484771 Meter --> No Conversion Required

FINAL ANSWER

28.9705627484771 ≈ 28.97056 Meter <-- Perimeter of Isosceles Right Triangle

(Calculation completed in 00.020 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< 6 Perimeter 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)

Perimeter of Isosceles Right Triangle given Circumradius

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

Perimeter of Isosceles Right Triangle given Area

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

Perimeter of Isosceles Right Triangle given Hypotenuse

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

Perimeter of Isosceles Right Triangle given Inradius

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

Perimeter of Isosceles Right Triangle

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

Perimeter of Isosceles Right Triangle given Circumradius Formula

Perimeter of Isosceles Right Triangle = (2+sqrt(2))*sqrt(2)*Circumradius of Isosceles Right Triangle
P = (2+sqrt(2))*sqrt(2)*r_c

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.

How to Calculate Perimeter of Isosceles Right Triangle given Circumradius?

Perimeter of Isosceles Right Triangle given Circumradius calculator uses Perimeter of Isosceles Right Triangle = (2+sqrt(2))*sqrt(2)*Circumradius of Isosceles Right Triangle to calculate the Perimeter of Isosceles Right Triangle, The Perimeter of Isosceles Right Triangle given Circumradius formula is defined as the sum of all the sides of the Isosceles Right Triangle, calculated using its circumradius. Perimeter of Isosceles Right Triangle is denoted by P symbol.

How to calculate Perimeter of Isosceles Right Triangle given Circumradius using this online calculator? To use this online calculator for Perimeter of Isosceles Right Triangle given Circumradius, enter Circumradius of Isosceles Right Triangle (r_c) and hit the calculate button. Here is how the Perimeter of Isosceles Right Triangle given Circumradius calculation can be explained with given input values -> 28.97056 = (2+sqrt(2))*sqrt(2)*6.

FAQ

What is Perimeter of Isosceles Right Triangle given Circumradius?

The Perimeter of Isosceles Right Triangle given Circumradius formula is defined as the sum of all the sides of the Isosceles Right Triangle, calculated using its circumradius and is represented as P = (2+sqrt(2))*sqrt(2)*r_c or Perimeter of Isosceles Right Triangle = (2+sqrt(2))*sqrt(2)*Circumradius of Isosceles Right Triangle. Circumradius of Isosceles Right Triangle is the radius of a circumcircle touching each of the vertices of the Isosceles Right Triangle.

How to calculate Perimeter of Isosceles Right Triangle given Circumradius?

The Perimeter of Isosceles Right Triangle given Circumradius formula is defined as the sum of all the sides of the Isosceles Right Triangle, calculated using its circumradius is calculated using Perimeter of Isosceles Right Triangle = (2+sqrt(2))*sqrt(2)*Circumradius of Isosceles Right Triangle. To calculate Perimeter of Isosceles Right Triangle given Circumradius, you need Circumradius of Isosceles Right Triangle (r_c). With our tool, you need to enter the respective value for Circumradius 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 Perimeter of Isosceles Right Triangle?

In this formula, Perimeter of Isosceles Right Triangle uses Circumradius of Isosceles Right Triangle. We can use 5 other way(s) to calculate the same, which is/are as follows -

Perimeter of Isosceles Right Triangle = (1+sqrt(2))*Hypotenuse of Isosceles Right Triangle
Perimeter of Isosceles Right Triangle = (2+sqrt(2))*sqrt(2*Area of Isosceles Right Triangle)
Perimeter of Isosceles Right Triangle = (2+sqrt(2))^2*Inradius of Isosceles Right Triangle
Perimeter of Isosceles Right Triangle = (2+sqrt(2))*(2*Median on Legs of Isosceles Right Triangle)/sqrt(5)
Perimeter of Isosceles Right Triangle = (2+sqrt(2))*Legs of Isosceles Right Triangle

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