Circumradius of Right Angled Triangle given Sides Calculator

✖The Height of Right Angled Triangle is the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base.ⓘ Height of Right Angled Triangle [h]			+10% -10%
✖The Base of Right Angled Triangle is the length of the base leg of the Right Angled Triangle, adjacent to the perpendicular leg.ⓘ Base of Right Angled Triangle [B]			+10% -10%

✖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 given Sides [r_c]

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Formula

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Circumradius of Right Angled Triangle given Sides

Formula

`"r"_{"c"} = (sqrt("h"^2+"B"^2))/2`

Example

`"8.5m"=(sqrt(("8m")^2+("15m")^2))/2`

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Circumradius of Right Angled Triangle given Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2
r_c = (sqrt(h^2+B^2))/2
This formula uses 1 Functions, 3 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 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.
Height of Right Angled Triangle - (Measured in Meter) - The Height of Right Angled Triangle is the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base.
Base of Right Angled Triangle - (Measured in Meter) - The Base of Right Angled Triangle is the length of the base leg of the Right Angled Triangle, adjacent to the perpendicular leg.

STEP 1: Convert Input(s) to Base Unit

Height of Right Angled Triangle: 8 Meter --> 8 Meter No Conversion Required
Base of Right Angled Triangle: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (sqrt(h^2+B^2))/2 --> (sqrt(8^2+15^2))/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

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Walchand College of Engineering (WCE), Sangli

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< 3 Radius of Right Angled Triangle Calculators

Inradius of Right Angled Triangle

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

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

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

< 14 Important Formulas of Right Angled Triangle Calculators

Median Line on Hypotenuse of Right Angled Triangle

Go Median on Hypotenuse of Right Angled Triangle = sqrt(2*(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)-Height of Right Angled Triangle^2-Base of Right Angled Triangle^2)/2

Inradius of Right Angled Triangle

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

Altitude of Right Angled Triangle

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)

Perimeter of Right Angled Triangle

Go Perimeter 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)

Median Line on Height of Right Angled Triangle

Go Median on Height of Right Angled Triangle = sqrt(2*(2*Base of Right Angled Triangle^2+Height of Right Angled Triangle^2)-Height of Right Angled Triangle^2)/2

Median Line on Base of Right Angled Triangle

Go Median on Base of Right Angled Triangle = sqrt(2*(2*Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)-Base of Right Angled Triangle^2)/2

Perimeter of Right Angled Triangle given Hypotenuse, Circumradius and Inradius

Go Perimeter of Right Angled Triangle = 2*Inradius of Right Angled Triangle+Hypotenuse of Right Angled Triangle+2*Circumradius of Right Angled Triangle

Perimeter of Right Angled Triangle given Sides

Go Perimeter of Right Angled Triangle = Height of Right Angled Triangle+Base of Right Angled Triangle+Hypotenuse of Right Angled Triangle

Circumradius of Right Angled Triangle given Sides

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

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

Height of Right Angled Triangle

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

Base of Right Angled Triangle

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

Area of Right Angled Triangle

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

Circumradius of Right Angled Triangle

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

Circumradius of Right Angled Triangle given Sides Formula

Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2
r_c = (sqrt(h^2+B^2))/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 given Sides?

Circumradius of Right Angled Triangle given Sides calculator uses Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2 to calculate the Circumradius of Right Angled Triangle, The Circumradius of Right Angled Triangle given Sides formula is defined as the radius of the circumscribed circle which is equal to half of the hypotenuse in case of Right Angled Triangle, calculated using its sides. Circumradius of Right Angled Triangle is denoted by r_c symbol.

How to calculate Circumradius of Right Angled Triangle given Sides using this online calculator? To use this online calculator for Circumradius of Right Angled Triangle given Sides, enter Height of Right Angled Triangle (h) & Base of Right Angled Triangle (B) and hit the calculate button. Here is how the Circumradius of Right Angled Triangle given Sides calculation can be explained with given input values -> 8.5 = (sqrt(8^2+15^2))/2.

FAQ

What is Circumradius of Right Angled Triangle given Sides?

The Circumradius of Right Angled Triangle given Sides formula is defined as the radius of the circumscribed circle which is equal to half of the hypotenuse in case of Right Angled Triangle, calculated using its sides and is represented as r_c = (sqrt(h^2+B^2))/2 or Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2. The Height of Right Angled Triangle is the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base & The Base of Right Angled Triangle is the length of the base leg of the Right Angled Triangle, adjacent to the perpendicular leg.

How to calculate Circumradius of Right Angled Triangle given Sides?

The Circumradius of Right Angled Triangle given Sides formula is defined as the radius of the circumscribed circle which is equal to half of the hypotenuse in case of Right Angled Triangle, calculated using its sides is calculated using Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2. To calculate Circumradius of Right Angled Triangle given Sides, you need Height of Right Angled Triangle (h) & Base of Right Angled Triangle (B). With our tool, you need to enter the respective value for Height of Right Angled Triangle & Base 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 Height of Right Angled Triangle & Base 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 = Hypotenuse of Right Angled Triangle/2
Circumradius of Right Angled Triangle = Hypotenuse of Right Angled Triangle/2

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