Circumradius of Isosceles Right Triangle given Hypotenuse Calculator

✖The Hypotenuse of Isosceles Right Triangle is the longest side of an isosceles right triangle. The length of the hypotenuse equals to square root of sum of squares of lengths of the other two sides.ⓘ Hypotenuse of Isosceles Right Triangle [H]

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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 given Hypotenuse [r_c]

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Formula

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Circumradius of Isosceles Right Triangle given Hypotenuse

Formula

`"r"_{"c"} = "H"/2`

Example

`"5.5m"="11m"/2`

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Circumradius of Isosceles Right Triangle given Hypotenuse Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle/2
r_c = H/2
This formula uses 2 Variables

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.
Hypotenuse of Isosceles Right Triangle - (Measured in Meter) - The Hypotenuse of Isosceles Right Triangle is the longest side of an isosceles right triangle. The length of the hypotenuse equals to square root of sum of squares of lengths of the other two sides.

STEP 1: Convert Input(s) to Base Unit

Hypotenuse of Isosceles Right Triangle: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = H/2 --> 11/2

Evaluating ... ...

r_c = 5.5

STEP 3: Convert Result to Output's Unit

5.5 Meter --> No Conversion Required

FINAL ANSWER

5.5 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

Circumradius of Isosceles Right Triangle given Hypotenuse Formula

Circumradius of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle/2
r_c = H/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 Hypotenuse?

Circumradius of Isosceles Right Triangle given Hypotenuse calculator uses Circumradius of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle/2 to calculate the Circumradius of Isosceles Right Triangle, Circumradius of Isosceles Right Triangle given Hypotenuse formula is defined as the length of the radius of the circumscribed circle of the Isosceles Right Triangle, calculated using its hypotenuse. Circumradius of Isosceles Right Triangle is denoted by r_c symbol.

How to calculate Circumradius of Isosceles Right Triangle given Hypotenuse using this online calculator? To use this online calculator for Circumradius of Isosceles Right Triangle given Hypotenuse, enter Hypotenuse of Isosceles Right Triangle (H) and hit the calculate button. Here is how the Circumradius of Isosceles Right Triangle given Hypotenuse calculation can be explained with given input values -> 5.5 = 11/2.

FAQ

What is Circumradius of Isosceles Right Triangle given Hypotenuse?

Circumradius of Isosceles Right Triangle given Hypotenuse formula is defined as the length of the radius of the circumscribed circle of the Isosceles Right Triangle, calculated using its hypotenuse and is represented as r_c = H/2 or Circumradius of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle/2. The Hypotenuse of Isosceles Right Triangle is the longest side of an isosceles right triangle. The length of the hypotenuse equals to square root of sum of squares of lengths of the other two sides.

How to calculate Circumradius of Isosceles Right Triangle given Hypotenuse?

Circumradius of Isosceles Right Triangle given Hypotenuse formula is defined as the length of the radius of the circumscribed circle of the Isosceles Right Triangle, calculated using its hypotenuse is calculated using Circumradius of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle/2. To calculate Circumradius of Isosceles Right Triangle given Hypotenuse, you need Hypotenuse of Isosceles Right Triangle (H). With our tool, you need to enter the respective value for Hypotenuse 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 Hypotenuse 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 = 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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