Area of Round Corner given Perimeter Calculator

✖The perimeter of Round Corner is the total distance around the edge of the Round Corner.ⓘ Perimeter of Round Corner [P]

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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 Perimeter [A]

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Area of Round Corner given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Round Corner = (1/4)*pi*((Perimeter of Round Corner/(((1/2)*pi)+2))^2)
A = (1/4)*pi*((P/(((1/2)*pi)+2))^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.
Perimeter of Round Corner - (Measured in Meter) - The perimeter of Round Corner is the total distance around the edge of the Round Corner.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Round Corner: 35 Meter --> 35 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (1/4)*pi*((P/(((1/2)*pi)+2))^2) --> (1/4)*pi*((35/(((1/2)*pi)+2))^2)

Evaluating ... ...

A = 75.4563530975782

STEP 3: Convert Result to Output's Unit

75.4563530975782 Square Meter --> No Conversion Required

FINAL ANSWER

75.4563530975782 ≈ 75.45635 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 Perimeter Formula

LaTeX Go

Area of Round Corner = (1/4)*pi*((Perimeter of Round Corner/(((1/2)*pi)+2))^2)
A = (1/4)*pi*((P/(((1/2)*pi)+2))^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 Perimeter?

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

How to calculate Area of Round Corner given Perimeter using this online calculator? To use this online calculator for Area of Round Corner given Perimeter, enter Perimeter of Round Corner (P) and hit the calculate button. Here is how the Area of Round Corner given Perimeter calculation can be explained with given input values -> 75.45635 = (1/4)*pi*((35/(((1/2)*pi)+2))^2).

FAQ

What is Area of Round Corner given Perimeter?

The Area of Round Corner given Perimeter formula is defined as the measure of the total area that the surface of the object occupies of a Round Corner, calculated using its perimeter and is represented as A = (1/4)*pi*((P/(((1/2)*pi)+2))^2) or Area of Round Corner = (1/4)*pi*((Perimeter of Round Corner/(((1/2)*pi)+2))^2). The perimeter of Round Corner is the total distance around the edge of the Round Corner.

How to calculate Area of Round Corner given Perimeter?

The Area of Round Corner given Perimeter formula is defined as the measure of the total area that the surface of the object occupies of a Round Corner, calculated using its perimeter is calculated using Area of Round Corner = (1/4)*pi*((Perimeter of Round Corner/(((1/2)*pi)+2))^2). To calculate Area of Round Corner given Perimeter, you need Perimeter of Round Corner (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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*((Arc Length of Round Corner/((1/2)*pi))^2)
Area of Round Corner = (1/4)*pi*((Area of Missing Piece of Round Corner/((1-((1/4)*pi)))))

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