Area of Round Corner given Arc Length Calculator

✖Arc Length of Round Corner is the distance between two points along a section of a curve.ⓘ Arc Length of Round Corner [l_Arc]

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✖The Area of Round Corner is the amount of two-dimensional space taken up by an object.ⓘ Area of Round Corner given Arc Length [A]

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Area of Round Corner given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Round Corner = (1/4)*pi*((Arc Length of Round Corner/((1/2)*pi))^2)
A = (1/4)*pi*((l_Arc/((1/2)*pi))^2)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Area of Round Corner - (Measured in Square Meter) - The Area of Round Corner is the amount of two-dimensional space taken up by an object.
Arc Length of Round Corner - (Measured in Meter) - Arc Length of Round Corner is the distance between two points along a section of a curve.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Round Corner: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (1/4)*pi*((l_Arc/((1/2)*pi))^2) --> (1/4)*pi*((15/((1/2)*pi))^2)

Evaluating ... ...

A = 71.6197243913529

STEP 3: Convert Result to Output's Unit

71.6197243913529 Square Meter --> No Conversion Required

FINAL ANSWER

71.6197243913529 ≈ 71.61972 Square Meter <-- Area of Round Corner

(Calculation completed in 00.004 seconds)

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< Area of Round Corner Calculators

Area of Round Corner given Area of Missing Piece

LaTeX Go Area of Round Corner = (1/4)*pi*((Area of Missing Piece of Round Corner/((1-((1/4)*pi)))))

Area of Round Corner given Perimeter

LaTeX Go Area of Round Corner = (1/4)*pi*((Perimeter of Round Corner/(((1/2)*pi)+2))^2)

Area of Round Corner given Arc Length

LaTeX Go Area of Round Corner = (1/4)*pi*((Arc Length of Round Corner/((1/2)*pi))^2)

Area of Round Corner

LaTeX Go Area of Round Corner = (1/4)*pi*(Radius of Round Corner^2)

Area of Round Corner given Arc Length Formula

LaTeX Go

Area of Round Corner = (1/4)*pi*((Arc Length of Round Corner/((1/2)*pi))^2)
A = (1/4)*pi*((l_Arc/((1/2)*pi))^2)

What is a Round Corner?

A Round Corner, or rather a quarter circle is the most simple form of a Round Corner. This is the intersecting set of a square with edge length a and a circle with radius a, where one corner of the square is at the center of the circle. The missing piece, the part of the square outside the quarter circle, is also called spandrel.

How to Calculate Area of Round Corner given Arc Length?

Area of Round Corner given Arc Length calculator uses Area of Round Corner = (1/4)*pi*((Arc Length of Round Corner/((1/2)*pi))^2) to calculate the Area of Round Corner, The Area of Round Corner given Arc Length formula is defined as the measure of the total area that the surface of the object occupies of a Round Corner, calculated using its arc length. Area of Round Corner is denoted by A symbol.

How to calculate Area of Round Corner given Arc Length using this online calculator? To use this online calculator for Area of Round Corner given Arc Length, enter Arc Length of Round Corner (l_Arc) and hit the calculate button. Here is how the Area of Round Corner given Arc Length calculation can be explained with given input values -> 71.61972 = (1/4)*pi*((15/((1/2)*pi))^2).

FAQ

What is Area of Round Corner given Arc Length?

The Area of Round Corner given Arc Length formula is defined as the measure of the total area that the surface of the object occupies of a Round Corner, calculated using its arc length and is represented as A = (1/4)*pi*((l_Arc/((1/2)*pi))^2) or Area of Round Corner = (1/4)*pi*((Arc Length of Round Corner/((1/2)*pi))^2). Arc Length of Round Corner is the distance between two points along a section of a curve.

How to calculate Area of Round Corner given Arc Length?

The Area of Round Corner given Arc Length formula is defined as the measure of the total area that the surface of the object occupies of a Round Corner, calculated using its arc length is calculated using Area of Round Corner = (1/4)*pi*((Arc Length of Round Corner/((1/2)*pi))^2). To calculate Area of Round Corner given Arc Length, you need Arc Length of Round Corner (l_Arc). With our tool, you need to enter the respective value for Arc Length of Round Corner and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Round Corner?

In this formula, Area of Round Corner uses Arc Length of Round Corner. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Round Corner = (1/4)*pi*(Radius of Round Corner^2)
Area of Round Corner = (1/4)*pi*((Perimeter of Round Corner/(((1/2)*pi)+2))^2)
Area of Round Corner = (1/4)*pi*((Area of Missing Piece of Round Corner/((1-((1/4)*pi)))))

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