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Perimeter of Quarter Circle Formula

GoPerimeter of Quarter Circle given Arc Length Formula

GoPerimeter of Quarter Circle given Area Formula

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Perimeter of Quarter Circle is the total length of all the boundary edges of Quarter Circle. Check FAQs

P = 2 \cdot r \cdot (1 + \frac{π}{4})

P - Perimeter of Quarter Circle?r - Radius of Quarter Circle?π - Archimedes' constant?

Perimeter of Quarter Circle Example

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Here is how the Perimeter of Quarter Circle equation looks like with Values.

Here is how the Perimeter of Quarter Circle equation looks like with Units.

Here is how the Perimeter of Quarter Circle equation looks like.

17.854 = 2 \cdot 5 \cdot (1 + \frac{3.1416}{4})

17.854m = 2 \cdot 5m \cdot (1 + \frac{3.1416}{4})

17.854 = 2 \cdot 5 \cdot (1 + \frac{3.1416}{4})

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Perimeter of Quarter Circle Solution

Follow our step by step solution on how to calculate Perimeter of Quarter Circle?

FIRST Step Consider the formula

P = 2 \cdot r \cdot (1 + \frac{π}{4})

Next Step Substitute values of Variables

∴

P = 2 \cdot 5m \cdot (1 + \frac{π}{4})

Next Step Substitute values of Constants

∴

P = 2 \cdot 5m \cdot (1 + \frac{3.1416}{4})

Next Step Prepare to Evaluate

∴

P = 2 \cdot 5 \cdot (1 + \frac{3.1416}{4})

Next Step Evaluate

∴

P = 17.8539816339745m

LAST Step Rounding Answer

∴

P = 17.854m

Perimeter of Quarter Circle Formula Elements

Variables

Constants

Perimeter of Quarter Circle

Perimeter of Quarter Circle is the total length of all the boundary edges of Quarter Circle.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Quarter Circle

Radius of Quarter Circle

Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Quarter Circle

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 Perimeter of Quarter Circle

Go Perimeter of Quarter Circle given Arc Length

P = \frac{(π + 4) \cdot l Arc}{π}

Go Perimeter of Quarter Circle given Area

P = (π + 4) \cdot \sqrt{\frac{A}{π}}

Go Perimeter of Quarter Circle given Chord Length

P = \frac{(π + 4) \cdot l Chord}{\sqrt{8}}

Go Perimeter of Quarter Circle given Diameter of Circle

P = D Circle \cdot (1 + \frac{π}{4})

How to Evaluate Perimeter of Quarter Circle?

Perimeter of Quarter Circle evaluator uses Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+pi/4) to evaluate the Perimeter of Quarter Circle, Perimeter of Quarter Circle formula is defined as the distance around the edge of the Quarter circle. Perimeter of Quarter Circle is denoted by P symbol.

How to evaluate Perimeter of Quarter Circle using this online evaluator? To use this online evaluator for Perimeter of Quarter Circle, enter Radius of Quarter Circle (r) and hit the calculate button.

FAQs on Perimeter of Quarter Circle

What is the formula to find Perimeter of Quarter Circle?

The formula of Perimeter of Quarter Circle is expressed as Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+pi/4). Here is an example- 17.85398 = 2*5*(1+pi/4).

How to calculate Perimeter of Quarter Circle?

With Radius of Quarter Circle (r) we can find Perimeter of Quarter Circle using the formula - Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+pi/4). This formula also uses Archimedes' constant .

What are the other ways to Calculate Perimeter of Quarter Circle?

Here are the different ways to Calculate Perimeter of Quarter Circle-

Perimeter of Quarter Circle=((pi+4)*Arc Length of Quarter Circle)/pi
Perimeter of Quarter Circle=(pi+4)*sqrt(Area of Quarter Circle/pi)
Perimeter of Quarter Circle=((pi+4)*Chord Length of Quarter Circle)/sqrt(8)

Can the Perimeter of Quarter Circle be negative?

No, the Perimeter of Quarter Circle, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Quarter Circle?

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

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