Area of Missing Piece of Round Corner given Arc Length Calculator

✖Area of Missing Piece of Round Corner can be defined as the space occupied by a missing piece of shape or object.ⓘ Area of Missing Piece of Round Corner given Arc Length [A_{Missing Piece}]

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Formula

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Area of Missing Piece of Round Corner given Arc Length

Formula

`"A"_{"Missing Piece"} = (1-((1/4)*pi))*(("l"_{"Arc"}/((1/2)*pi))^2)`

Example

`"19.56934m²"=(1-((1/4)*pi))*(("15m"/((1/2)*pi))^2)`

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Area of Missing Piece of Round Corner given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Missing Piece of Round Corner = (1-((1/4)*pi))*((Arc Length of Round Corner/((1/2)*pi))^2)
A_{Missing Piece} = (1-((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 Missing Piece of Round Corner - (Measured in Square Meter) - Area of Missing Piece of Round Corner can be defined as the space occupied by a missing piece of shape or 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_{Missing Piece} = (1-((1/4)*pi))*((l_Arc/((1/2)*pi))^2) --> (1-((1/4)*pi))*((15/((1/2)*pi))^2)

Evaluating ... ...

A_{Missing Piece} = 19.5693408867511

STEP 3: Convert Result to Output's Unit

19.5693408867511 Square Meter --> No Conversion Required

FINAL ANSWER

19.5693408867511 ≈ 19.56934 Square Meter <-- Area of Missing Piece of Round Corner

(Calculation completed in 00.004 seconds)

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< 4 Area of Missing Piece of Round Corner Calculators

Area of Missing Piece of Round Corner given Perimeter

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

Area of Missing Piece of Round Corner given Arc Length

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

Area of Missing Piece of Round Corner given Area

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

Area of Missing Piece of Round Corner

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

Area of Missing Piece of Round Corner given Arc Length Formula

Area of Missing Piece of Round Corner = (1-((1/4)*pi))*((Arc Length of Round Corner/((1/2)*pi))^2)
A_{Missing Piece} = (1-((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 Missing Piece of Round Corner given Arc Length?

Area of Missing Piece of Round Corner given Arc Length calculator uses Area of Missing Piece of Round Corner = (1-((1/4)*pi))*((Arc Length of Round Corner/((1/2)*pi))^2) to calculate the Area of Missing Piece of Round Corner, The Area of Missing Piece of Round Corner given Arc Length formula is defined as the measure of the total area occupied by the missing piece of a Round Corner, calculated using its arc length. Area of Missing Piece of Round Corner is denoted by A_{Missing Piece} symbol.

How to calculate Area of Missing Piece of Round Corner given Arc Length using this online calculator? To use this online calculator for Area of Missing Piece 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 Missing Piece of Round Corner given Arc Length calculation can be explained with given input values -> 19.56934 = (1-((1/4)*pi))*((15/((1/2)*pi))^2).

FAQ

What is Area of Missing Piece of Round Corner given Arc Length?

The Area of Missing Piece of Round Corner given Arc Length formula is defined as the measure of the total area occupied by the missing piece of a Round Corner, calculated using its arc length and is represented as A_{Missing Piece} = (1-((1/4)*pi))*((l_Arc/((1/2)*pi))^2) or Area of Missing Piece of Round Corner = (1-((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 Missing Piece of Round Corner given Arc Length?

The Area of Missing Piece of Round Corner given Arc Length formula is defined as the measure of the total area occupied by the missing piece of a Round Corner, calculated using its arc length is calculated using Area of Missing Piece of Round Corner = (1-((1/4)*pi))*((Arc Length of Round Corner/((1/2)*pi))^2). To calculate Area of Missing Piece 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 Missing Piece of Round Corner?

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

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