Inradius of Tangential Quadrilateral given Area Calculator

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Area, Perimeter and Radius of Tangential Quadrilateral

Side of Tangential Quadrilateral

✖The Area of Tangential Quadrilateral is the space occupied by the shape in the two-dimensional space.ⓘ Area of Tangential Quadrilateral [A]			+10% -10%
✖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 given Area [r_i]

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Formula

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Inradius of Tangential Quadrilateral given Area

Formula

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

Example

`"10m"="120m²"/("8m"+"4m")`

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Inradius of Tangential Quadrilateral given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Area of Tangential Quadrilateral: 120 Square Meter --> 120 Square Meter No Conversion Required
Side A of Tangential Quadrilateral: 8 Meter --> 8 Meter No Conversion Required
Side C of Tangential Quadrilateral: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = A/(S_a+S_c) --> 120/(8+4)

Evaluating ... ...

r_i = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Inradius of Tangential Quadrilateral

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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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

Inradius of Tangential Quadrilateral given Area Formula

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

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 Inradius of Tangential Quadrilateral given Area?

Inradius of Tangential Quadrilateral given Area calculator uses Inradius of Tangential Quadrilateral = Area of Tangential Quadrilateral/(Side A of Tangential Quadrilateral+Side C of Tangential Quadrilateral) to calculate the Inradius of Tangential Quadrilateral, The Inradius of Tangential Quadrilateral given Area formula is defined as the length of the straight line from the center to the circumference of the inscribed circle of the Tangential Quadrilateral, calculated using its area. Inradius of Tangential Quadrilateral is denoted by r_i symbol.

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

FAQ

What is Inradius of Tangential Quadrilateral given Area?

The Inradius of Tangential Quadrilateral given Area formula is defined as the length of the straight line from the center to the circumference of the inscribed circle of the Tangential Quadrilateral, calculated using its area and is represented as r_i = A/(S_a+S_c) or Inradius of Tangential Quadrilateral = Area of Tangential Quadrilateral/(Side A of Tangential Quadrilateral+Side C of Tangential Quadrilateral). The Area of Tangential Quadrilateral is the space occupied by the shape in the two-dimensional space, 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.

How to calculate Inradius of Tangential Quadrilateral given Area?

The Inradius of Tangential Quadrilateral given Area formula is defined as the length of the straight line from the center to the circumference of the inscribed circle of the Tangential Quadrilateral, calculated using its area is calculated using Inradius of Tangential Quadrilateral = Area of Tangential Quadrilateral/(Side A of Tangential Quadrilateral+Side C of Tangential Quadrilateral). To calculate Inradius of Tangential Quadrilateral given Area, you need Area of Tangential Quadrilateral (A), Side A of Tangential Quadrilateral (S_a) & Side C of Tangential Quadrilateral (S_c). With our tool, you need to enter the respective value for Area of Tangential Quadrilateral, Side A of Tangential Quadrilateral & Side C 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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