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Perimeter of Semicircle given Area Formula

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GoPerimeter of Semicircle Formula

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The Perimeter of Semicircle is the total distance around the edge of the Semicircle. Check FAQs

P = π \cdot \sqrt{\frac{2}{π} \cdot A} + 2 \cdot \sqrt{\frac{2}{π} \cdot A}

P - Perimeter of Semicircle?A - Area of Semicircle?π - Archimedes' constant?

Perimeter of Semicircle given Area Example

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

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

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

51.8917 = 3.1416 \cdot \sqrt{\frac{2}{3.1416} \cdot 160} + 2 \cdot \sqrt{\frac{2}{3.1416} \cdot 160}

51.8917m = 3.1416 \cdot \sqrt{\frac{2}{3.1416} \cdot 160m²} + 2 \cdot \sqrt{\frac{2}{3.1416} \cdot 160m²}

51.8917 = 3.1416 \cdot \sqrt{\frac{2}{3.1416} \cdot 160} + 2 \cdot \sqrt{\frac{2}{3.1416} \cdot 160}

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Perimeter of Semicircle given Area Solution

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

FIRST Step Consider the formula

P = π \cdot \sqrt{\frac{2}{π} \cdot A} + 2 \cdot \sqrt{\frac{2}{π} \cdot A}

Next Step Substitute values of Variables

∴

P = π \cdot \sqrt{\frac{2}{π} \cdot 160m²} + 2 \cdot \sqrt{\frac{2}{π} \cdot 160m²}

Next Step Substitute values of Constants

∴

P = 3.1416 \cdot \sqrt{\frac{2}{3.1416} \cdot 160m²} + 2 \cdot \sqrt{\frac{2}{3.1416} \cdot 160m²}

Next Step Prepare to Evaluate

∴

P = 3.1416 \cdot \sqrt{\frac{2}{3.1416} \cdot 160} + 2 \cdot \sqrt{\frac{2}{3.1416} \cdot 160}

Next Step Evaluate

∴

P = 51.8916785570094m

LAST Step Rounding Answer

∴

P = 51.8917m

Perimeter of Semicircle given Area Formula Elements

Variables

Constants

Functions

Perimeter of Semicircle

The Perimeter of Semicircle is the total distance around the edge of the Semicircle.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Semicircle

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

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

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 Perimeter of Semicircle

Go Perimeter of Semicircle given Arc Length

P = \frac{π + 2}{π} \cdot l Arc

Go Perimeter of Semicircle

P = (π + 2) \cdot r

Go Perimeter of Semicircle given Diameter

P = (\frac{π}{2} + 1) \cdot D

Go Perimeter of Semicircle given Area of Circle

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

How to Evaluate Perimeter of Semicircle given Area?

Perimeter of Semicircle given Area evaluator uses Perimeter of Semicircle = pi*sqrt(2/pi*Area of Semicircle)+2*sqrt(2/pi*Area of Semicircle) to evaluate the Perimeter of Semicircle, The Perimeter of Semicircle given Area formula is defined as the total length around the edge of the Semicircle and calculated using the area of the Semicircle. Perimeter of Semicircle is denoted by P symbol.

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

FAQs on Perimeter of Semicircle given Area

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

The formula of Perimeter of Semicircle given Area is expressed as Perimeter of Semicircle = pi*sqrt(2/pi*Area of Semicircle)+2*sqrt(2/pi*Area of Semicircle). Here is an example- 51.89168 = pi*sqrt(2/pi*160)+2*sqrt(2/pi*160).

How to calculate Perimeter of Semicircle given Area?

With Area of Semicircle (A) we can find Perimeter of Semicircle given Area using the formula - Perimeter of Semicircle = pi*sqrt(2/pi*Area of Semicircle)+2*sqrt(2/pi*Area of Semicircle). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Semicircle?

Here are the different ways to Calculate Perimeter of Semicircle-

Perimeter of Semicircle=(pi+2)/pi*Arc Length of Semicircle
Perimeter of Semicircle=(pi+2)*Radius of Semicircle
Perimeter of Semicircle=(pi/2+1)*Diameter of Semicircle

Can the Perimeter of Semicircle given Area be negative?

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

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

Perimeter of Semicircle given Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Semicircle given Area can be measured.

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