Circumradius of Right Angled Triangle Calculator

✖The Hypotenuse of Right Angled Triangle is the longest side of the right-angled triangle and it is the opposite side of the right angle(90 degrees).ⓘ Hypotenuse of Right Angled Triangle [H]

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

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Circumradius of Right Angled Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Circumradius of Right Angled Triangle - (Measured in Meter) - The Circumradius of Right Angled Triangle is the radius of a circumcircle touching each of the vertices of the Right-Angled Triangle.
Hypotenuse of Right Angled Triangle - (Measured in Meter) - The Hypotenuse of Right Angled Triangle is the longest side of the right-angled triangle and it is the opposite side of the right angle(90 degrees).

STEP 1: Convert Input(s) to Base Unit

Hypotenuse of Right Angled Triangle: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = H/2 --> 17/2

Evaluating ... ...

r_c = 8.5

STEP 3: Convert Result to Output's Unit

8.5 Meter --> No Conversion Required

FINAL ANSWER

8.5 Meter <-- Circumradius of Right Angled Triangle

(Calculation completed in 00.004 seconds)

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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

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< Radius of Right Angled Triangle Calculators

Inradius of Right Angled Triangle

LaTeX Go Inradius of Right Angled Triangle = (Height of Right Angled Triangle+Base of Right Angled Triangle-sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2

Circumradius of Right Angled Triangle given Sides

LaTeX Go Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2

Circumradius of Right Angled Triangle

LaTeX Go Circumradius of Right Angled Triangle = Hypotenuse of Right Angled Triangle/2

< Important Formulas of Right Angled Triangle Calculators

Altitude of Right Angled Triangle

LaTeX Go Altitude of Right Angled Triangle = (Height of Right Angled Triangle*Base of Right Angled Triangle)/sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)

Circumradius of Right Angled Triangle given Sides

LaTeX Go Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2

Hypotenuse of Right Angled Triangle

LaTeX Go Hypotenuse of Right Angled Triangle = sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)

Area of Right Angled Triangle

LaTeX Go Area of Right Angled Triangle = (Base of Right Angled Triangle*Height of Right Angled Triangle)/2

Circumradius of Right Angled Triangle Formula

LaTeX Go

Circumradius of Right Angled Triangle = Hypotenuse of Right Angled Triangle/2
r_c = H/2

What is Right-Angled Triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse.

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 Right Angled Triangle?

Circumradius of Right Angled Triangle calculator uses Circumradius of Right Angled Triangle = Hypotenuse of Right Angled Triangle/2 to calculate the Circumradius of Right Angled Triangle, The Circumradius of Right Angled Triangle formula is defined as the radius of the circumscribed circle which is equal to half of the hypotenuse in case of Right Angled Triangle. Circumradius of Right Angled Triangle is denoted by r_c symbol.

How to calculate Circumradius of Right Angled Triangle using this online calculator? To use this online calculator for Circumradius of Right Angled Triangle, enter Hypotenuse of Right Angled Triangle (H) and hit the calculate button. Here is how the Circumradius of Right Angled Triangle calculation can be explained with given input values -> 8.5 = 17/2.

FAQ

What is Circumradius of Right Angled Triangle?

The Circumradius of Right Angled Triangle formula is defined as the radius of the circumscribed circle which is equal to half of the hypotenuse in case of Right Angled Triangle and is represented as r_c = H/2 or Circumradius of Right Angled Triangle = Hypotenuse of Right Angled Triangle/2. The Hypotenuse of Right Angled Triangle is the longest side of the right-angled triangle and it is the opposite side of the right angle(90 degrees).

How to calculate Circumradius of Right Angled Triangle?

The Circumradius of Right Angled Triangle formula is defined as the radius of the circumscribed circle which is equal to half of the hypotenuse in case of Right Angled Triangle is calculated using Circumradius of Right Angled Triangle = Hypotenuse of Right Angled Triangle/2. To calculate Circumradius of Right Angled Triangle, you need Hypotenuse of Right Angled Triangle (H). With our tool, you need to enter the respective value for Hypotenuse of Right Angled 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 Right Angled Triangle?

In this formula, Circumradius of Right Angled Triangle uses Hypotenuse of Right Angled Triangle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2
Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2

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