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 00.020 seconds)

Credits

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St Joseph's College (SJC), Bengaluru
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4 Area of Round Corner Calculators

Area of Round Corner given Area of Missing Piece
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
Go Area of Round Corner = (1/4)*pi*((Perimeter of Round Corner/(((1/2)*pi)+2))^2)
Area of Round Corner given Arc Length
Go Area of Round Corner = (1/4)*pi*((Arc Length of Round Corner/((1/2)*pi))^2)
Area of Round Corner
Go Area of Round Corner = (1/4)*pi*(Radius of Round Corner^2)

Area of Round Corner given Perimeter Formula

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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