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Area of Semicircle given Diameter of Semicircle Formula

GoArea of Semicircle given Arc Length Formula

GoArea of Semicircle given Perimeter 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{π}{8} \cdot D^{2}

A - Area of Semicircle?D - Diameter of Semicircle?π - Archimedes' constant?

Area of Semicircle given Diameter of Semicircle Example

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

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

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

157.0796 = \frac{3.1416}{8} \cdot 20^{2}

157.0796m² = \frac{3.1416}{8} \cdot {20m}^{2}

157.0796 = \frac{3.1416}{8} \cdot 20^{2}

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Area of Semicircle given Diameter of Semicircle Solution

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

FIRST Step Consider the formula

A = \frac{π}{8} \cdot D^{2}

Next Step Substitute values of Variables

∴

A = \frac{π}{8} \cdot {20m}^{2}

Next Step Substitute values of Constants

∴

A = \frac{3.1416}{8} \cdot {20m}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{3.1416}{8} \cdot 20^{2}

Next Step Evaluate

∴

A = 157.07963267949m²

LAST Step Rounding Answer

∴

A = 157.0796m²

Area of Semicircle given Diameter of Semicircle 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

Diameter of Semicircle

Diameter of Semicircle is defined as the length of the longest chord of the semicircle.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter 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 Arc Length

A = \frac{{l Arc}^{2}}{2 \cdot π}

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 Area of Circle

A = \frac{A Circle}{2}

How to Evaluate Area of Semicircle given Diameter of Semicircle?

Area of Semicircle given Diameter of Semicircle evaluator uses Area of Semicircle = pi/8*Diameter of Semicircle^2 to evaluate the Area of Semicircle, Area of Semicircle given Diameter of Semicircle is defined as the total amount of space occupied by the Semicircle in a given plane, calculated using its diameter. Area of Semicircle is denoted by A symbol.

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

FAQs on Area of Semicircle given Diameter of Semicircle

What is the formula to find Area of Semicircle given Diameter of Semicircle?

The formula of Area of Semicircle given Diameter of Semicircle is expressed as Area of Semicircle = pi/8*Diameter of Semicircle^2. Here is an example- 157.0796 = pi/8*20^2.

How to calculate Area of Semicircle given Diameter of Semicircle?

With Diameter of Semicircle (D) we can find Area of Semicircle given Diameter of Semicircle using the formula - Area of Semicircle = pi/8*Diameter of Semicircle^2. 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=(Arc Length of Semicircle^2)/(2*pi)
Area of Semicircle=pi/2*(Perimeter of Semicircle/(pi+2))^2
Area of Semicircle=pi/2*Radius of Semicircle^2

Can the Area of Semicircle given Diameter of Semicircle be negative?

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

Which unit is used to measure Area of Semicircle given Diameter of Semicircle?

Area of Semicircle given Diameter of Semicircle 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 Diameter of Semicircle can be measured.

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