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Area of Cyclic Quadrilateral given Perimeter Formula

GoArea of Cyclic Quadrilateral given Semiperimeter Formula

GoArea of Cyclic Quadrilateral given Circumradius Formula

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Area of Cyclic Quadrilateral is the amount of 2-dimensional space occupied by the Cyclic Quadrilateral. Check FAQs

A = \sqrt{(\frac{P}{2} - S a) \cdot (\frac{P}{2} - S b) \cdot (\frac{P}{2} - S c) \cdot (\frac{P}{2} - S d)}

A - Area of Cyclic Quadrilateral?P - Perimeter of Cyclic Quadrilateral?S_a - Side A of Cyclic Quadrilateral?S_b - Side B of Cyclic Quadrilateral?S_c - Side C of Cyclic Quadrilateral?S_d - Side D of Cyclic Quadrilateral?

Area of Cyclic Quadrilateral given Perimeter Example

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Here is how the Area of Cyclic Quadrilateral given Perimeter equation looks like with Values.

Here is how the Area of Cyclic Quadrilateral given Perimeter equation looks like with Units.

Here is how the Area of Cyclic Quadrilateral given Perimeter equation looks like.

60.7947 = \sqrt{(\frac{32}{2} - 10) \cdot (\frac{32}{2} - 9) \cdot (\frac{32}{2} - 8) \cdot (\frac{32}{2} - 5)}

60.7947m² = \sqrt{(\frac{32m}{2} - 10m) \cdot (\frac{32m}{2} - 9m) \cdot (\frac{32m}{2} - 8m) \cdot (\frac{32m}{2} - 5m)}

60.7947 = \sqrt{(\frac{32}{2} - 10) \cdot (\frac{32}{2} - 9) \cdot (\frac{32}{2} - 8) \cdot (\frac{32}{2} - 5)}

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Area of Cyclic Quadrilateral given Perimeter Solution

Follow our step by step solution on how to calculate Area of Cyclic Quadrilateral given Perimeter?

FIRST Step Consider the formula

A = \sqrt{(\frac{P}{2} - S a) \cdot (\frac{P}{2} - S b) \cdot (\frac{P}{2} - S c) \cdot (\frac{P}{2} - S d)}

Next Step Substitute values of Variables

∴

A = \sqrt{(\frac{32m}{2} - 10m) \cdot (\frac{32m}{2} - 9m) \cdot (\frac{32m}{2} - 8m) \cdot (\frac{32m}{2} - 5m)}

Next Step Prepare to Evaluate

∴

A = \sqrt{(\frac{32}{2} - 10) \cdot (\frac{32}{2} - 9) \cdot (\frac{32}{2} - 8) \cdot (\frac{32}{2} - 5)}

Next Step Evaluate

∴

A = 60.7947366142827m²

LAST Step Rounding Answer

∴

A = 60.7947m²

Area of Cyclic Quadrilateral given Perimeter Formula Elements

Variables

Functions

Area of Cyclic Quadrilateral

Area of Cyclic Quadrilateral is the amount of 2-dimensional space occupied by the Cyclic Quadrilateral.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Cyclic Quadrilateral

Perimeter of Cyclic Quadrilateral

Perimeter of Cyclic Quadrilateral is the total distance around the edge of the Cyclic Quadrilateral.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Cyclic Quadrilateral

Side A of Cyclic Quadrilateral

Side A of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Cyclic Quadrilateral

Side B of Cyclic Quadrilateral

Side B of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Cyclic Quadrilateral

Side C of Cyclic Quadrilateral

Side C of Cyclic Quadrilateral is one of the four sides of Cyclic Quadrilateral.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Cyclic Quadrilateral

Side D of Cyclic Quadrilateral

Side D of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.

Symbol: S_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side D of Cyclic Quadrilateral

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.

Syntax: sqrt(Number)

Other Formulas to find Area of Cyclic Quadrilateral

Go Area of Cyclic Quadrilateral given Semiperimeter

A = \sqrt{(s - S a) \cdot (s - S b) \cdot (s - S c) \cdot (s - S d)}

Go Area of Cyclic Quadrilateral given Circumradius

A = \frac{\sqrt{((S a \cdot S b) + (S c \cdot S d)) \cdot ((S a \cdot S c) + (S b \cdot S d)) \cdot ((S a \cdot S d) + (S c \cdot S b))}}{4 \cdot r c}

Go Area of Cyclic Quadrilateral given Circumradius and Angles

A = 2 \cdot {(r c)}^{2} \cdot \sin (∠A) \cdot \sin (∠B) \cdot \sin (∠ Diagonals)

Go Area of Cyclic Quadrilateral given Angle A

A = \frac{1}{2} \cdot ((S a \cdot S d) + (S b \cdot S c)) \cdot \sin (∠A)

How to Evaluate Area of Cyclic Quadrilateral given Perimeter?

Area of Cyclic Quadrilateral given Perimeter evaluator 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 evaluate 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 evaluate Area of Cyclic Quadrilateral given Perimeter using this online evaluator? To use this online evaluator 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.

FAQs on Area of Cyclic Quadrilateral given Perimeter

What is the formula to find Area of Cyclic Quadrilateral given Perimeter?

The formula of Area of Cyclic Quadrilateral given Perimeter is expressed as 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)). Here is an example- 60.79474 = sqrt((32/2-10)*(32/2-9)*(32/2-8)*(32/2-5)).

How to calculate Area of Cyclic Quadrilateral given Perimeter?

With 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) we can find Area of Cyclic Quadrilateral given Perimeter using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Cyclic Quadrilateral?

Here are the different ways to Calculate Area of Cyclic Quadrilateral-

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)

Can the Area of Cyclic Quadrilateral given Perimeter be negative?

No, the Area of Cyclic Quadrilateral given Perimeter, measured in Area cannot be negative.

Which unit is used to measure Area of Cyclic Quadrilateral given Perimeter?

Area of Cyclic Quadrilateral given Perimeter is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Cyclic Quadrilateral given Perimeter can be measured.

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: Value
: Unit

Area of Cyclic Quadrilateral given Perimeter Formula

​GoArea of Cyclic Quadrilateral given Semiperimeter Formula

​GoArea of Cyclic Quadrilateral given Circumradius Formula

Area of Cyclic Quadrilateral given Perimeter Example

Area of Cyclic Quadrilateral given Perimeter Solution

Area of Cyclic Quadrilateral given Perimeter Formula Elements

Other Formulas to find Area of Cyclic Quadrilateral

How to Evaluate Area of Cyclic Quadrilateral given Perimeter?

FAQs on Area of Cyclic Quadrilateral given Perimeter

Variable Name

GoArea of Cyclic Quadrilateral given Semiperimeter Formula

GoArea of Cyclic Quadrilateral given Circumradius Formula