Area of Isosceles Right Triangle given Inradius Calculator

✖The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.ⓘ Inradius of Isosceles Right Triangle [r_i]

+10%

-10%

✖The Area of Isosceles Right Triangle is the amount of space or region enclosed by it in a two-dimensional space.ⓘ Area of Isosceles Right Triangle given Inradius [A]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Isosceles Right Triangle Formula PDF PDF Image

Area of Isosceles Right Triangle given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Isosceles Right Triangle = (((2+sqrt(2))*Inradius of Isosceles Right Triangle)^2)/2
A = (((2+sqrt(2))*r_i)^2)/2
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

Area of Isosceles Right Triangle - (Measured in Square Meter) - The Area of Isosceles Right Triangle is the amount of space or region enclosed by it in a two-dimensional space.
Inradius of Isosceles Right Triangle - (Measured in Meter) - The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Isosceles Right Triangle: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (((2+sqrt(2))*r_i)^2)/2 --> (((2+sqrt(2))*2)^2)/2

Evaluating ... ...

A = 23.3137084989848

STEP 3: Convert Result to Output's Unit

23.3137084989848 Square Meter --> No Conversion Required

FINAL ANSWER

23.3137084989848 ≈ 23.31371 Square Meter <-- Area of Isosceles Right Triangle

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Triangle » Isosceles Right Triangle » Area of Isosceles Right Triangle » Area of Isosceles Right Triangle given Inradius

Credits

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

Shweta Patil has verified this Calculator and 1100+ more calculators!

< Area of Isosceles Right Triangle Calculators

Area of Isosceles Right Triangle given Inradius

LaTeX Go Area of Isosceles Right Triangle = (((2+sqrt(2))*Inradius of Isosceles Right Triangle)^2)/2

Area of Isosceles Right Triangle given Perimeter

LaTeX Go Area of Isosceles Right Triangle = (Perimeter of Isosceles Right Triangle/(2+sqrt(2)))^2/2

Area of Isosceles Right Triangle given Circumradius

LaTeX Go Area of Isosceles Right Triangle = Circumradius of Isosceles Right Triangle^2

Area of Isosceles Right Triangle given Hypotenuse

LaTeX Go Area of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle^2/4

Area of Isosceles Right Triangle given Inradius Formula

LaTeX Go

Area of Isosceles Right Triangle = (((2+sqrt(2))*Inradius of Isosceles Right Triangle)^2)/2
A = (((2+sqrt(2))*r_i)^2)/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.

How to Calculate Area of Isosceles Right Triangle given Inradius?

Area of Isosceles Right Triangle given Inradius calculator uses Area of Isosceles Right Triangle = (((2+sqrt(2))*Inradius of Isosceles Right Triangle)^2)/2 to calculate the Area of Isosceles Right Triangle, The Area of Isosceles Right Triangle given Inradius formula is defined as the region enclosed by Isosceles right-angled triangle, calculated using its inradius. Area of Isosceles Right Triangle is denoted by A symbol.

How to calculate Area of Isosceles Right Triangle given Inradius using this online calculator? To use this online calculator for Area of Isosceles Right Triangle given Inradius, enter Inradius of Isosceles Right Triangle (r_i) and hit the calculate button. Here is how the Area of Isosceles Right Triangle given Inradius calculation can be explained with given input values -> 23.31371 = (((2+sqrt(2))*2)^2)/2.

FAQ

What is Area of Isosceles Right Triangle given Inradius?

The Area of Isosceles Right Triangle given Inradius formula is defined as the region enclosed by Isosceles right-angled triangle, calculated using its inradius and is represented as A = (((2+sqrt(2))*r_i)^2)/2 or Area of Isosceles Right Triangle = (((2+sqrt(2))*Inradius of Isosceles Right Triangle)^2)/2. The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.

How to calculate Area of Isosceles Right Triangle given Inradius?

The Area of Isosceles Right Triangle given Inradius formula is defined as the region enclosed by Isosceles right-angled triangle, calculated using its inradius is calculated using Area of Isosceles Right Triangle = (((2+sqrt(2))*Inradius of Isosceles Right Triangle)^2)/2. To calculate Area of Isosceles Right Triangle given Inradius, you need Inradius of Isosceles Right Triangle (r_i). With our tool, you need to enter the respective value for Inradius 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 Area of Isosceles Right Triangle?

In this formula, Area of Isosceles Right Triangle uses Inradius of Isosceles Right Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Isosceles Right Triangle = Hypotenuse of Isosceles Right Triangle^2/4
Area of Isosceles Right Triangle = (Perimeter of Isosceles Right Triangle/(2+sqrt(2)))^2/2
Area of Isosceles Right Triangle = Circumradius of Isosceles Right Triangle^2

Home

FREE PDFs

🔍 Search