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Arc Length of Quarter Circle Formula

GoArc Length of Quarter Circle given Area Formula

GoArc Length of Quarter Circle given Perimeter Formula

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Arc Length of Quarter Circle is the length of the curved edge of Quarter Circle. Check FAQs

l Arc = \frac{π \cdot r}{2}

l_Arc - Arc Length of Quarter Circle?r - Radius of Quarter Circle?π - Archimedes' constant?

Arc Length of Quarter Circle Example

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

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

Here is how the Arc Length of Quarter Circle equation looks like.

7.854 = \frac{3.1416 \cdot 5}{2}

7.854m = \frac{3.1416 \cdot 5m}{2}

7.854 = \frac{3.1416 \cdot 5}{2}

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Arc Length of Quarter Circle Solution

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

FIRST Step Consider the formula

l Arc = \frac{π \cdot r}{2}

Next Step Substitute values of Variables

∴

l Arc = \frac{π \cdot 5m}{2}

Next Step Substitute values of Constants

∴

l Arc = \frac{3.1416 \cdot 5m}{2}

Next Step Prepare to Evaluate

∴

l Arc = \frac{3.1416 \cdot 5}{2}

Next Step Evaluate

∴

l Arc = 7.85398163397448m

LAST Step Rounding Answer

∴

l Arc = 7.854m

Arc Length of Quarter Circle Formula Elements

Variables

Constants

Arc Length of Quarter Circle

Arc Length of Quarter Circle is the length of the curved edge of Quarter Circle.

Symbol: l_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Arc Length 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 Arc Length of Quarter Circle

Go Arc Length of Quarter Circle given Area

l Arc = \sqrt{π \cdot A}

Go Arc Length of Quarter Circle given Perimeter

l Arc = \frac{π \cdot P}{π + 4}

Go Arc Length of Quarter Circle given Chord Length

l Arc = \frac{π \cdot l Chord}{\sqrt{8}}

Go Arc Length of Quarter Circle given Diameter

l Arc = \frac{π \cdot D Circle}{4}

How to Evaluate Arc Length of Quarter Circle?

Arc Length of Quarter Circle evaluator uses Arc Length of Quarter Circle = (pi*Radius of Quarter Circle)/2 to evaluate the Arc Length of Quarter Circle, The Arc Length of Quarter Circle formula is defined as the length of the curved part of the boundary of the given Quarter Circle. Arc Length of Quarter Circle is denoted by l_Arc symbol.

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

FAQs on Arc Length of Quarter Circle

What is the formula to find Arc Length of Quarter Circle?

The formula of Arc Length of Quarter Circle is expressed as Arc Length of Quarter Circle = (pi*Radius of Quarter Circle)/2. Here is an example- 7.853982 = (pi*5)/2.

How to calculate Arc Length of Quarter Circle?

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

What are the other ways to Calculate Arc Length of Quarter Circle?

Here are the different ways to Calculate Arc Length of Quarter Circle-

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

Can the Arc Length of Quarter Circle be negative?

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

Which unit is used to measure Arc Length of Quarter Circle?

Arc Length 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 Arc Length of Quarter Circle can be measured.

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