Area of Cyclic Quadrilateral given Perimeter Calculator

✖Perimeter of Cyclic Quadrilateral is the total distance around the edge of the Cyclic Quadrilateral.ⓘ Perimeter of Cyclic Quadrilateral [P]			+10% -10%
✖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%

✖Area of Cyclic Quadrilateral is the amount of 2-dimensional space occupied by the Cyclic Quadrilateral.ⓘ Area of Cyclic Quadrilateral given Perimeter [A]

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Area of Cyclic Quadrilateral given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Cyclic Quadrilateral = sqrt((Perimeter of Cyclic Quadrilateral/2-Side A of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side B of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side C of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side D of Cyclic Quadrilateral))
A = sqrt((P/2-S_a)*(P/2-S_b)*(P/2-S_c)*(P/2-S_d))
This formula uses 1 Functions, 6 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 Cyclic Quadrilateral - (Measured in Square Meter) - Area of Cyclic Quadrilateral is the amount of 2-dimensional space occupied by the Cyclic Quadrilateral.
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

Perimeter of Cyclic Quadrilateral: 32 Meter --> 32 Meter No Conversion Required
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

A = sqrt((P/2-S_a)*(P/2-S_b)*(P/2-S_c)*(P/2-S_d)) --> sqrt((32/2-10)*(32/2-9)*(32/2-8)*(32/2-5))

Evaluating ... ...

A = 60.7947366142827

STEP 3: Convert Result to Output's Unit

60.7947366142827 Square Meter --> No Conversion Required

FINAL ANSWER

60.7947366142827 ≈ 60.79474 Square Meter <-- Area of Cyclic Quadrilateral

(Calculation completed in 00.008 seconds)

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Home » Math » Geometry » 2D Geometry » Cyclic Quadrilateral » Area of Cyclic Quadrilateral » Area of Cyclic Quadrilateral given Perimeter

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St Joseph's College (SJC), Bengaluru

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Vellore Institute of Technology (VIT), Bhopal

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< Area of Cyclic Quadrilateral Calculators

Area of Cyclic Quadrilateral given Circumradius

LaTeX Go Area 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*Circumradius of Cyclic Quadrilateral)

Area of Cyclic Quadrilateral given Semiperimeter

LaTeX Go Area of Cyclic Quadrilateral = sqrt((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))

Area of Cyclic Quadrilateral given Perimeter

LaTeX Go Area of Cyclic Quadrilateral = sqrt((Perimeter of Cyclic Quadrilateral/2-Side A of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side B of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side C of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side D of Cyclic Quadrilateral))

Area of Cyclic Quadrilateral given Circumradius and Angles

LaTeX Go Area of Cyclic Quadrilateral = 2*(Circumradius of Cyclic Quadrilateral)^2*sin(Angle A of Cyclic Quadrilateral)*sin(Angle B of Cyclic Quadrilateral)*sin(Angle Between Diagonals of Cyclic Quadrilateral)

Area of Cyclic Quadrilateral given Perimeter Formula

LaTeX Go

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 Area of Cyclic Quadrilateral given Perimeter?

Area of Cyclic Quadrilateral given Perimeter calculator uses Area of Cyclic Quadrilateral = sqrt((Perimeter of Cyclic Quadrilateral/2-Side A of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side B of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side C of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side D of Cyclic Quadrilateral)) to calculate the Area of Cyclic Quadrilateral, The Area of Cyclic Quadrilateral given Perimeter formula is defined as the 2-dimensional space or region occupied by the Cyclic Quadrilateral, calculated using its perimeter. Area of Cyclic Quadrilateral is denoted by A symbol.

How to calculate Area of Cyclic Quadrilateral given Perimeter using this online calculator? To use this online calculator for Area of Cyclic Quadrilateral given Perimeter, enter Perimeter of Cyclic Quadrilateral (P), 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 Area of Cyclic Quadrilateral given Perimeter calculation can be explained with given input values -> 60.79474 = sqrt((32/2-10)*(32/2-9)*(32/2-8)*(32/2-5)).

FAQ

What is Area of Cyclic Quadrilateral given Perimeter?

The Area of Cyclic Quadrilateral given Perimeter formula is defined as the 2-dimensional space or region occupied by the Cyclic Quadrilateral, calculated using its perimeter and is represented as A = sqrt((P/2-S_a)*(P/2-S_b)*(P/2-S_c)*(P/2-S_d)) or Area of Cyclic Quadrilateral = sqrt((Perimeter of Cyclic Quadrilateral/2-Side A of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side B of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side C of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side D of Cyclic Quadrilateral)). Perimeter of Cyclic Quadrilateral is the total distance around the edge of the 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 Area of Cyclic Quadrilateral given Perimeter?

The Area of Cyclic Quadrilateral given Perimeter formula is defined as the 2-dimensional space or region occupied by the Cyclic Quadrilateral, calculated using its perimeter is calculated using Area of Cyclic Quadrilateral = sqrt((Perimeter of Cyclic Quadrilateral/2-Side A of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side B of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side C of Cyclic Quadrilateral)*(Perimeter of Cyclic Quadrilateral/2-Side D of Cyclic Quadrilateral)). To calculate Area of Cyclic Quadrilateral given Perimeter, you need Perimeter of Cyclic Quadrilateral (P), 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 Perimeter of Cyclic Quadrilateral, 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 Area of Cyclic Quadrilateral?

In this formula, Area of Cyclic Quadrilateral 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. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Cyclic Quadrilateral = sqrt((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))
Area 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*Circumradius of Cyclic Quadrilateral)
Area of Cyclic Quadrilateral = 2*(Circumradius of Cyclic Quadrilateral)^2*sin(Angle A of Cyclic Quadrilateral)*sin(Angle B of Cyclic Quadrilateral)*sin(Angle Between Diagonals of Cyclic Quadrilateral)

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