Perimeter of Cyclic Quadrilateral Calculator

✖Side A of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.ⓘ Side A of Cyclic Quadrilateral [S_a]			+10% -10%
✖Side B of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.ⓘ Side B of Cyclic Quadrilateral [S_b]			+10% -10%
✖Side C of Cyclic Quadrilateral is one of the four sides of Cyclic Quadrilateral.ⓘ Side C of Cyclic Quadrilateral [S_c]			+10% -10%
✖Side D of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.ⓘ Side D of Cyclic Quadrilateral [S_d]			+10% -10%

✖Perimeter of Cyclic Quadrilateral is the total distance around the edge of the Cyclic Quadrilateral.ⓘ Perimeter of Cyclic Quadrilateral [P]

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Formula

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Perimeter of Cyclic Quadrilateral

Formula

`"P" = "S"_{"a"}+"S"_{"b"}+"S"_{"c"}+"S"_{"d"}`

Example

`"32m"="10m"+"9m"+"8m"+"5m"`

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Perimeter of Cyclic Quadrilateral Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Cyclic Quadrilateral = Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral
P = S_a+S_b+S_c+S_d
This formula uses 5 Variables

Variables Used

Perimeter of Cyclic Quadrilateral - (Measured in Meter) - Perimeter of Cyclic Quadrilateral is the total distance around the edge of the Cyclic Quadrilateral.
Side A of Cyclic Quadrilateral - (Measured in Meter) - Side A of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.
Side B of Cyclic Quadrilateral - (Measured in Meter) - Side B of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.
Side C of Cyclic Quadrilateral - (Measured in Meter) - Side C of Cyclic Quadrilateral is one of the four sides of Cyclic Quadrilateral.
Side D of Cyclic Quadrilateral - (Measured in Meter) - Side D of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.

STEP 1: Convert Input(s) to Base Unit

Side A of Cyclic Quadrilateral: 10 Meter --> 10 Meter No Conversion Required
Side B of Cyclic Quadrilateral: 9 Meter --> 9 Meter No Conversion Required
Side C of Cyclic Quadrilateral: 8 Meter --> 8 Meter No Conversion Required
Side D of Cyclic Quadrilateral: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = S_a+S_b+S_c+S_d --> 10+9+8+5

Evaluating ... ...

P = 32

STEP 3: Convert Result to Output's Unit

32 Meter --> No Conversion Required

FINAL ANSWER

32 Meter <-- Perimeter of Cyclic 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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< 4 Perimeter of Cyclic Quadrilateral Calculators

Semiperimeter of Cyclic Quadrilateral given Sides

Go Semiperimeter of Cyclic Quadrilateral = (Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral)/2

Perimeter of Cyclic Quadrilateral

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

Perimeter of Cyclic Quadrilateral given Semiperimeter

Go Perimeter of Cyclic Quadrilateral = 2*Semiperimeter of Cyclic Quadrilateral

Semiperimeter of Cyclic Quadrilateral

Go Semiperimeter of Cyclic Quadrilateral = Perimeter of Cyclic Quadrilateral/2

< 4 Other Formulas of Cyclic Quadrilateral Calculators

Circumradius of Cyclic Quadrilateral

Go Circumradius of Cyclic Quadrilateral = 1/4*(sqrt((((Side A of Cyclic Quadrilateral*Side B of Cyclic Quadrilateral)+(Side C of Cyclic Quadrilateral*Side D of Cyclic Quadrilateral))*((Side A of Cyclic Quadrilateral*Side C of Cyclic Quadrilateral)+(Side B of Cyclic Quadrilateral*Side D of Cyclic Quadrilateral))*((Side A of Cyclic Quadrilateral*Side D of Cyclic Quadrilateral)+(Side B of Cyclic Quadrilateral*Side C of Cyclic Quadrilateral)))/((Semiperimeter of Cyclic Quadrilateral-Side A of Cyclic Quadrilateral)*(Semiperimeter of Cyclic Quadrilateral-Side B of Cyclic Quadrilateral)*(Semiperimeter of Cyclic Quadrilateral-Side C of Cyclic Quadrilateral)*(Semiperimeter of Cyclic Quadrilateral-Side D of Cyclic Quadrilateral))))

Circumradius of Cyclic Quadrilateral given Area

Go Circumradius of Cyclic Quadrilateral = sqrt(((Side A of Cyclic Quadrilateral*Side B of Cyclic Quadrilateral)+(Side C of Cyclic Quadrilateral*Side D of Cyclic Quadrilateral))*((Side A of Cyclic Quadrilateral*Side C of Cyclic Quadrilateral)+(Side B of Cyclic Quadrilateral*Side D of Cyclic Quadrilateral))*((Side A of Cyclic Quadrilateral*Side D of Cyclic Quadrilateral)+(Side C of Cyclic Quadrilateral*Side B of Cyclic Quadrilateral)))/(4*Area of Cyclic Quadrilateral)

Perimeter of Cyclic Quadrilateral

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

Semiperimeter of Cyclic Quadrilateral

Go Semiperimeter of Cyclic Quadrilateral = Perimeter of Cyclic Quadrilateral/2

Perimeter of Cyclic Quadrilateral Formula

Perimeter of Cyclic Quadrilateral = Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral
P = S_a+S_b+S_c+S_d

What is a Cyclic Quadrilateral?

A Cyclic Quadrilateral is a quadrilateral that can be inscribed in a circle, meaning that there exists a circle that passes through all four vertices of the quadrilateral. Cyclic quadrilaterals are useful in various types of geometry problems, particularly those in which angle chasing is required.

How to Calculate Perimeter of Cyclic Quadrilateral?

Perimeter of Cyclic Quadrilateral calculator uses Perimeter of Cyclic Quadrilateral = Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral to calculate the Perimeter of Cyclic Quadrilateral, The Perimeter of Cyclic Quadrilateral formula is defined as the sum of all sides of the Cyclic Quadrilateral. Perimeter of Cyclic Quadrilateral is denoted by P symbol.

How to calculate Perimeter of Cyclic Quadrilateral using this online calculator? To use this online calculator for Perimeter of Cyclic Quadrilateral, enter Side A of Cyclic Quadrilateral (S_a), Side B of Cyclic Quadrilateral (S_b), Side C of Cyclic Quadrilateral (S_c) & Side D of Cyclic Quadrilateral (S_d) and hit the calculate button. Here is how the Perimeter of Cyclic Quadrilateral calculation can be explained with given input values -> 32 = 10+9+8+5.

FAQ

What is Perimeter of Cyclic Quadrilateral?

The Perimeter of Cyclic Quadrilateral formula is defined as the sum of all sides of the Cyclic Quadrilateral and is represented as P = S_a+S_b+S_c+S_d or Perimeter of Cyclic Quadrilateral = Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral. Side A of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral, Side B of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral, Side C of Cyclic Quadrilateral is one of the four sides of Cyclic Quadrilateral & Side D of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.

How to calculate Perimeter of Cyclic Quadrilateral?

The Perimeter of Cyclic Quadrilateral formula is defined as the sum of all sides of the Cyclic Quadrilateral is calculated using Perimeter of Cyclic Quadrilateral = Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral. To calculate Perimeter of Cyclic Quadrilateral, you need Side A of Cyclic Quadrilateral (S_a), Side B of Cyclic Quadrilateral (S_b), Side C of Cyclic Quadrilateral (S_c) & Side D of Cyclic Quadrilateral (S_d). With our tool, you need to enter the respective value for Side A of Cyclic Quadrilateral, Side B of Cyclic Quadrilateral, Side C of Cyclic Quadrilateral & Side D of Cyclic Quadrilateral 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 Perimeter of Cyclic Quadrilateral?

In this formula, Perimeter of Cyclic Quadrilateral uses Side A of Cyclic Quadrilateral, Side B of Cyclic Quadrilateral, Side C of Cyclic Quadrilateral & Side D of Cyclic Quadrilateral. We can use 1 other way(s) to calculate the same, which is/are as follows -

Perimeter of Cyclic Quadrilateral = 2*Semiperimeter of Cyclic Quadrilateral

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