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Area of Semicircle given Arc Length Formula

GoArea of Semicircle given Perimeter Formula

GoArea of Semicircle Formula

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The Area of Semicircle is the total amount of space or region enclosed inside the Semicircle. Check FAQs

A = \frac{{l Arc}^{2}}{2 \cdot π}

A - Area of Semicircle?l_Arc - Arc Length of Semicircle?π - Archimedes' constant?

Area of Semicircle given Arc Length Example

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Here is how the Area of Semicircle given Arc Length equation looks like with Values.

Here is how the Area of Semicircle given Arc Length equation looks like with Units.

Here is how the Area of Semicircle given Arc Length equation looks like.

143.2394 = \frac{30^{2}}{2 \cdot 3.1416}

143.2394m² = \frac{{30m}^{2}}{2 \cdot 3.1416}

143.2394 = \frac{30^{2}}{2 \cdot 3.1416}

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Area of Semicircle given Arc Length Solution

Follow our step by step solution on how to calculate Area of Semicircle given Arc Length?

FIRST Step Consider the formula

A = \frac{{l Arc}^{2}}{2 \cdot π}

Next Step Substitute values of Variables

∴

A = \frac{{30m}^{2}}{2 \cdot π}

Next Step Substitute values of Constants

∴

A = \frac{{30m}^{2}}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

A = \frac{30^{2}}{2 \cdot 3.1416}

Next Step Evaluate

∴

A = 143.239448782706m²

LAST Step Rounding Answer

∴

A = 143.2394m²

Area of Semicircle given Arc Length Formula Elements

Variables

Constants

Area of Semicircle

The Area of Semicircle is the total amount of space or region enclosed inside the Semicircle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Semicircle

Arc Length of Semicircle

Arc Length of Semicircle is defined as the length of the arc of the Semicircle.

Symbol: l_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Arc Length of Semicircle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Area of Semicircle

Go Area of Semicircle given Perimeter

A = \frac{π}{2} \cdot {(\frac{P}{π + 2})}^{2}

Go Area of Semicircle

A = \frac{π}{2} \cdot r^{2}

Go Area of Semicircle given Diameter of Semicircle

A = \frac{π}{8} \cdot D^{2}

Go Area of Semicircle given Area of Circle

A = \frac{A Circle}{2}

How to Evaluate Area of Semicircle given Arc Length?

Area of Semicircle given Arc Length evaluator uses Area of Semicircle = (Arc Length of Semicircle^2)/(2*pi) to evaluate the Area of Semicircle, The Area of Semicircle given Arc Length formula is defined as the total amount of space occupied by the Semicircle in a given plane and calculated using the arc length of the Semicircle. Area of Semicircle is denoted by A symbol.

How to evaluate Area of Semicircle given Arc Length using this online evaluator? To use this online evaluator for Area of Semicircle given Arc Length, enter Arc Length of Semicircle (l_Arc) and hit the calculate button.

FAQs on Area of Semicircle given Arc Length

What is the formula to find Area of Semicircle given Arc Length?

The formula of Area of Semicircle given Arc Length is expressed as Area of Semicircle = (Arc Length of Semicircle^2)/(2*pi). Here is an example- 143.2394 = (30^2)/(2*pi).

How to calculate Area of Semicircle given Arc Length?

With Arc Length of Semicircle (l_Arc) we can find Area of Semicircle given Arc Length using the formula - Area of Semicircle = (Arc Length of Semicircle^2)/(2*pi). This formula also uses Archimedes' constant .

What are the other ways to Calculate Area of Semicircle?

Here are the different ways to Calculate Area of Semicircle-

Area of Semicircle=pi/2*(Perimeter of Semicircle/(pi+2))^2
Area of Semicircle=pi/2*Radius of Semicircle^2
Area of Semicircle=pi/8*Diameter of Semicircle^2

Can the Area of Semicircle given Arc Length be negative?

No, the Area of Semicircle given Arc Length, measured in Area cannot be negative.

Which unit is used to measure Area of Semicircle given Arc Length?

Area of Semicircle given Arc Length 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 Semicircle given Arc Length can be measured.

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