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Circumradius of Isosceles Right Triangle given Inradius Formula

GoCircumradius of Isosceles Right Triangle Formula

GoCircumradius of Isosceles Right Triangle given Hypotenuse Formula

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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. Check FAQs

r c = \frac{(2 + \sqrt{2}) \cdot r i}{\sqrt{2}}

r_c - Circumradius of Isosceles Right Triangle?r_i - Inradius of Isosceles Right Triangle?

Circumradius of Isosceles Right Triangle given Inradius Example

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Here is how the Circumradius of Isosceles Right Triangle given Inradius equation looks like with Values.

Here is how the Circumradius of Isosceles Right Triangle given Inradius equation looks like with Units.

Here is how the Circumradius of Isosceles Right Triangle given Inradius equation looks like.

4.8284 = \frac{(2 + \sqrt{2}) \cdot 2}{\sqrt{2}}

4.8284m = \frac{(2 + \sqrt{2}) \cdot 2m}{\sqrt{2}}

4.8284 = \frac{(2 + \sqrt{2}) \cdot 2}{\sqrt{2}}

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Circumradius of Isosceles Right Triangle given Inradius Solution

Follow our step by step solution on how to calculate Circumradius of Isosceles Right Triangle given Inradius?

FIRST Step Consider the formula

r c = \frac{(2 + \sqrt{2}) \cdot r i}{\sqrt{2}}

Next Step Substitute values of Variables

∴

r c = \frac{(2 + \sqrt{2}) \cdot 2m}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

r c = \frac{(2 + \sqrt{2}) \cdot 2}{\sqrt{2}}

Next Step Evaluate

∴

r c = 4.82842712474619m

LAST Step Rounding Answer

∴

r c = 4.8284m

Circumradius of Isosceles Right Triangle given Inradius Formula Elements

Variables

Functions

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.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Isosceles Right Triangle

Inradius of Isosceles Right Triangle

The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Isosceles Right Triangle

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.

Syntax: sqrt(Number)

Other Formulas to find Circumradius of Isosceles Right Triangle

Go Circumradius of Isosceles Right Triangle

r c = \frac{S Legs}{\sqrt{2}}

Go Circumradius of Isosceles Right Triangle given Hypotenuse

r c = \frac{H}{2}

Go Circumradius of Isosceles Right Triangle given Perimeter

r c = \frac{P}{2 + 2 \cdot \sqrt{2}}

Go Circumradius of Isosceles Right Triangle given Area

r c = \sqrt{A}

How to Evaluate Circumradius of Isosceles Right Triangle given Inradius?

Circumradius of Isosceles Right Triangle given Inradius evaluator uses Circumradius of Isosceles Right Triangle = ((2+sqrt(2))*Inradius of Isosceles Right Triangle)/(sqrt(2)) to evaluate 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 evaluate Circumradius of Isosceles Right Triangle given Inradius using this online evaluator? To use this online evaluator for Circumradius of Isosceles Right Triangle given Inradius, enter Inradius of Isosceles Right Triangle (r_i) and hit the calculate button.

FAQs on Circumradius of Isosceles Right Triangle given Inradius

What is the formula to find Circumradius of Isosceles Right Triangle given Inradius?

The formula of Circumradius of Isosceles Right Triangle given Inradius is expressed as Circumradius of Isosceles Right Triangle = ((2+sqrt(2))*Inradius of Isosceles Right Triangle)/(sqrt(2)). Here is an example- 4.828427 = ((2+sqrt(2))*2)/(sqrt(2)).

How to calculate Circumradius of Isosceles Right Triangle given Inradius?

With Inradius of Isosceles Right Triangle (r_i) we can find Circumradius of Isosceles Right Triangle given Inradius using the formula - Circumradius of Isosceles Right Triangle = ((2+sqrt(2))*Inradius of Isosceles Right Triangle)/(sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Isosceles Right Triangle?

Here are the different ways to Calculate Circumradius of Isosceles Right Triangle-

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))

Can the Circumradius of Isosceles Right Triangle given Inradius be negative?

No, the Circumradius of Isosceles Right Triangle given Inradius, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Isosceles Right Triangle given Inradius?

Circumradius of Isosceles Right Triangle given Inradius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumradius of Isosceles Right Triangle given Inradius can be measured.

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