Area of Triangle given Inradius and Semiperimeter Calculator

✖Inradius of Triangle is defined as the radius of the circle which is inscribed inside the Triangle.ⓘ Inradius of Triangle [r_i]			+10% -10%
✖The Semiperimeter of Triangle is half of the sum of the length of all sides, which is also half of the perimeter of the triangle.ⓘ Semiperimeter of Triangle [s]			+10% -10%

✖The Area of Triangle is the amount of region or space occupied by the Triangle.ⓘ Area of Triangle given Inradius and Semiperimeter [A]

⎘ Copy

👎

Formula

✖

Area of Triangle given Inradius and Semiperimeter

Formula

`"A" = "r"_{"i"}*"s"`

Example

`"66m²"="3m"*"22m"`

Calculator

LaTeX

Reset

👍

Download Triangle Formula PDF

Area of Triangle given Inradius and Semiperimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Triangle = Inradius of Triangle*Semiperimeter of Triangle
A = r_i*s
This formula uses 3 Variables

Variables Used

Area of Triangle - (Measured in Square Meter) - The Area of Triangle is the amount of region or space occupied by the Triangle.
Inradius of Triangle - (Measured in Meter) - Inradius of Triangle is defined as the radius of the circle which is inscribed inside the Triangle.
Semiperimeter of Triangle - (Measured in Meter) - The Semiperimeter of Triangle is half of the sum of the length of all sides, which is also half of the perimeter of the triangle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Triangle: 3 Meter --> 3 Meter No Conversion Required
Semiperimeter of Triangle: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = r_i*s --> 3*22

Evaluating ... ...

A = 66

STEP 3: Convert Result to Output's Unit

66 Square Meter --> No Conversion Required

FINAL ANSWER

66 Square Meter <-- Area of Triangle

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Triangle » Triangle » Area of Triangle » Area of Triangle given Inradius and Semiperimeter

Credits

Created by Venkata Sai Prasanna Aradhyula

Birla Institute of Technology & Science (BITS), Hyderabad

Venkata Sai Prasanna Aradhyula has created this Calculator and 10+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 9 Area of Triangle Calculators

Area of Triangle

Go Area of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle+Side C of Triangle-Side A of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/4

Area of Triangle by Heron's Formula

Go Area of Triangle = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))

Area of Triangle given Two Angles and Third Side

Go Area of Triangle = (Side A of Triangle^2*sin(Angle B of Triangle)*sin(Angle C of Triangle))/(2*sin(pi-Angle B of Triangle-Angle C of Triangle))

Area of Triangle given Three Exradii and Inradius

Go Area of Triangle = sqrt(Exradius Opposite to ∠A of Triangle*Exradius Opposite to ∠B of Triangle*Exradius Opposite to ∠C of Triangle*Inradius of Triangle)

Area of Triangle given Circumradius and Sides

Go Area of Triangle = (Side A of Triangle*Side B of Triangle*Side C of Triangle)/(4*Circumradius of Triangle)

Area of Triangle given Two Sides and Third Angle

Go Area of Triangle = Side A of Triangle*Side B of Triangle*sin(Angle C of Triangle)/2

Area of Triangle given Semiperimeter, One Side and its Exradius

Go Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side A of Triangle)

Area of Triangle given Base and Height

Go Area of Triangle = 1/2*Side C of Triangle*Height on Side C of Triangle

Area of Triangle given Inradius and Semiperimeter

Go Area of Triangle = Inradius of Triangle*Semiperimeter of Triangle

< 6 Area of Triangle Calculators

Area of Triangle

Area of Triangle by Heron's Formula

Go Area of Triangle = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))

Area of Triangle given Two Angles and Third Side

Go Area of Triangle = (Side A of Triangle^2*sin(Angle B of Triangle)*sin(Angle C of Triangle))/(2*sin(pi-Angle B of Triangle-Angle C of Triangle))

Area of Triangle given Two Sides and Third Angle

Go Area of Triangle = Side A of Triangle*Side B of Triangle*sin(Angle C of Triangle)/2

Area of Triangle given Base and Height

Go Area of Triangle = 1/2*Side C of Triangle*Height on Side C of Triangle

Area of Triangle given Inradius and Semiperimeter

Go Area of Triangle = Inradius of Triangle*Semiperimeter of Triangle

Area of Triangle given Inradius and Semiperimeter Formula

Area of Triangle = Inradius of Triangle*Semiperimeter of Triangle
A = r_i*s

What is a Triangle ?

A Triangle is a type of polygon, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

What is Inradius?

Inradius of a triangle is the radius of the circle which is drawn inside the triangle and which touches all the three sides. The center of this circle is the point where the angle bisectors of the circle meet and is called the incentre.

How to Calculate Area of Triangle given Inradius and Semiperimeter?

Area of Triangle given Inradius and Semiperimeter calculator uses Area of Triangle = Inradius of Triangle*Semiperimeter of Triangle to calculate the Area of Triangle, The Area of Triangle given Inradius and Semiperimeter formula is defined as the total region that is enclosed by the three sides of any particular triangle, calculated using its inradius and semiperimeter. Area of Triangle is denoted by A symbol.

How to calculate Area of Triangle given Inradius and Semiperimeter using this online calculator? To use this online calculator for Area of Triangle given Inradius and Semiperimeter, enter Inradius of Triangle (r_i) & Semiperimeter of Triangle (s) and hit the calculate button. Here is how the Area of Triangle given Inradius and Semiperimeter calculation can be explained with given input values -> 66 = 3*22.

FAQ

What is Area of Triangle given Inradius and Semiperimeter?

The Area of Triangle given Inradius and Semiperimeter formula is defined as the total region that is enclosed by the three sides of any particular triangle, calculated using its inradius and semiperimeter and is represented as A = r_i*s or Area of Triangle = Inradius of Triangle*Semiperimeter of Triangle. Inradius of Triangle is defined as the radius of the circle which is inscribed inside the Triangle & The Semiperimeter of Triangle is half of the sum of the length of all sides, which is also half of the perimeter of the triangle.

How to calculate Area of Triangle given Inradius and Semiperimeter?

The Area of Triangle given Inradius and Semiperimeter formula is defined as the total region that is enclosed by the three sides of any particular triangle, calculated using its inradius and semiperimeter is calculated using Area of Triangle = Inradius of Triangle*Semiperimeter of Triangle. To calculate Area of Triangle given Inradius and Semiperimeter, you need Inradius of Triangle (r_i) & Semiperimeter of Triangle (s). With our tool, you need to enter the respective value for Inradius of Triangle & Semiperimeter of 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 Triangle?

In this formula, Area of Triangle uses Inradius of Triangle & Semiperimeter of Triangle. We can use 15 other way(s) to calculate the same, which is/are as follows -

Area of Triangle = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))
Area of Triangle = 1/2*Side C of Triangle*Height on Side C of Triangle
Area of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle+Side C of Triangle-Side A of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/4
Area of Triangle = (Side A of Triangle^2*sin(Angle B of Triangle)*sin(Angle C of Triangle))/(2*sin(pi-Angle B of Triangle-Angle C of Triangle))
Area of Triangle = Side A of Triangle*Side B of Triangle*sin(Angle C of Triangle)/2
Area of Triangle = (Side A of Triangle*Side B of Triangle*Side C of Triangle)/(4*Circumradius of Triangle)
Area of Triangle = sqrt(Exradius Opposite to ∠A of Triangle*Exradius Opposite to ∠B of Triangle*Exradius Opposite to ∠C of Triangle*Inradius of Triangle)
Area of Triangle = Exradius Opposite to ∠A of Triangle*(Semiperimeter of Triangle-Side A of Triangle)
Area of Triangle = (Side B of Triangle*Side C of Triangle)/2*(sin(Angle A of Triangle))
Area of Triangle = (Side A of Triangle*Side C of Triangle)/2*(sin(Angle B of Triangle))
Area of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle+Side C of Triangle-Side A of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/4
Area of Triangle = (Side A of Triangle^2*sin(Angle B of Triangle)*sin(Angle C of Triangle))/(2*sin(pi-Angle B of Triangle-Angle C of Triangle))
Area of Triangle = Side A of Triangle*Side B of Triangle*sin(Angle C of Triangle)/2
Area of Triangle = sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))
Area of Triangle = 1/2*Side C of Triangle*Height on Side C of Triangle

Home

FREE PDFs

🔍 Search