Area of Tangential Quadrilateral Calculator

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Area, Perimeter and Radius of Tangential Quadrilateral

Side of Tangential Quadrilateral

✖Side A of Tangential Quadrilateral is one of the sides of the four sides of the Tangential quadrilateral.ⓘ Side A of Tangential Quadrilateral [S_a]			+10% -10%
✖Side C of Tangential Quadrilateral is one of the sides of the four sides of the Tangential Quadrilateral.ⓘ Side C of Tangential Quadrilateral [S_c]			+10% -10%
✖The Inradius of Tangential Quadrilateral is a radial line from the focus to any point of the incircle of Tangential quadrilateral.ⓘ Inradius of Tangential Quadrilateral [r_i]			+10% -10%

✖The Area of Tangential Quadrilateral is the space occupied by the shape in the two-dimensional space.ⓘ Area of Tangential Quadrilateral [A]

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Formula

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Area of Tangential Quadrilateral

Formula

`"A" = ("S"_{"a"}+"S"_{"c"})*"r"_{"i"}`

Example

`"120m²"=("8m"+"4m")*"10m"`

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Area of Tangential Quadrilateral Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Tangential Quadrilateral = (Side A of Tangential Quadrilateral+Side C of Tangential Quadrilateral)*Inradius of Tangential Quadrilateral
A = (S_a+S_c)*r_i
This formula uses 4 Variables

Variables Used

Area of Tangential Quadrilateral - (Measured in Square Meter) - The Area of Tangential Quadrilateral is the space occupied by the shape in the two-dimensional space.
Side A of Tangential Quadrilateral - (Measured in Meter) - Side A of Tangential Quadrilateral is one of the sides of the four sides of the Tangential quadrilateral.
Side C of Tangential Quadrilateral - (Measured in Meter) - Side C of Tangential Quadrilateral is one of the sides of the four sides of the Tangential Quadrilateral.
Inradius of Tangential Quadrilateral - (Measured in Meter) - The Inradius of Tangential Quadrilateral is a radial line from the focus to any point of the incircle of Tangential quadrilateral.

STEP 1: Convert Input(s) to Base Unit

Side A of Tangential Quadrilateral: 8 Meter --> 8 Meter No Conversion Required
Side C of Tangential Quadrilateral: 4 Meter --> 4 Meter No Conversion Required
Inradius of Tangential Quadrilateral: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (S_a+S_c)*r_i --> (8+4)*10

Evaluating ... ...

A = 120

STEP 3: Convert Result to Output's Unit

120 Square Meter --> No Conversion Required

FINAL ANSWER

120 Square Meter <-- Area of Tangential Quadrilateral

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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< 3 Area, Perimeter and Radius of Tangential Quadrilateral Calculators

Perimeter of Tangential Quadrilateral

Go Perimeter of Tangential Quadrilateral = Side A of Tangential Quadrilateral+Side B of Tangential Quadrilateral+Side C of Tangential Quadrilateral+Side D of Tangential Quadrilateral

Inradius of Tangential Quadrilateral given Area

Go Inradius of Tangential Quadrilateral = Area of Tangential Quadrilateral/(Side A of Tangential Quadrilateral+Side C of Tangential Quadrilateral)

Area of Tangential Quadrilateral

Go Area of Tangential Quadrilateral = (Side A of Tangential Quadrilateral+Side C of Tangential Quadrilateral)*Inradius of Tangential Quadrilateral

Area of Tangential Quadrilateral Formula

Area of Tangential Quadrilateral = (Side A of Tangential Quadrilateral+Side C of Tangential Quadrilateral)*Inradius of Tangential Quadrilateral
A = (S_a+S_c)*r_i

What is a Tangential Quadrilateral?

In Euclidean geometry, a Tangential Quadrilateral (sometimes just tangent quadrilateral) or circumscribed quadrilateral is a convex quadrilateral whose sides all can be tangent to a single circle within the quadrilateral. This circle is called the incircle of the quadrilateral or its inscribed circle, its center is the incenter and its radius is called the inradius. Since these quadrilaterals can be drawn surrounding or circumscribing their incircles, they have also been called circumscribable quadrilaterals, circumscribing quadrilaterals, and circumscriptible quadrilaterals.

How to Calculate Area of Tangential Quadrilateral?

Area of Tangential Quadrilateral calculator uses Area of Tangential Quadrilateral = (Side A of Tangential Quadrilateral+Side C of Tangential Quadrilateral)*Inradius of Tangential Quadrilateral to calculate the Area of Tangential Quadrilateral, The Area of Tangential Quadrilateral formula is defined as the space or region enclosed inside the Quadrilateral. Area of Tangential Quadrilateral is denoted by A symbol.

How to calculate Area of Tangential Quadrilateral using this online calculator? To use this online calculator for Area of Tangential Quadrilateral, enter Side A of Tangential Quadrilateral (S_a), Side C of Tangential Quadrilateral (S_c) & Inradius of Tangential Quadrilateral (r_i) and hit the calculate button. Here is how the Area of Tangential Quadrilateral calculation can be explained with given input values -> 120 = (8+4)*10.

FAQ

What is Area of Tangential Quadrilateral?

The Area of Tangential Quadrilateral formula is defined as the space or region enclosed inside the Quadrilateral and is represented as A = (S_a+S_c)*r_i or Area of Tangential Quadrilateral = (Side A of Tangential Quadrilateral+Side C of Tangential Quadrilateral)*Inradius of Tangential Quadrilateral. Side A of Tangential Quadrilateral is one of the sides of the four sides of the Tangential quadrilateral, Side C of Tangential Quadrilateral is one of the sides of the four sides of the Tangential Quadrilateral & The Inradius of Tangential Quadrilateral is a radial line from the focus to any point of the incircle of Tangential quadrilateral.

How to calculate Area of Tangential Quadrilateral?

The Area of Tangential Quadrilateral formula is defined as the space or region enclosed inside the Quadrilateral is calculated using Area of Tangential Quadrilateral = (Side A of Tangential Quadrilateral+Side C of Tangential Quadrilateral)*Inradius of Tangential Quadrilateral. To calculate Area of Tangential Quadrilateral, you need Side A of Tangential Quadrilateral (S_a), Side C of Tangential Quadrilateral (S_c) & Inradius of Tangential Quadrilateral (r_i). With our tool, you need to enter the respective value for Side A of Tangential Quadrilateral, Side C of Tangential Quadrilateral & Inradius of Tangential Quadrilateral and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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