Area of Circular Arc Quadrangle given Short Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Circular Arc Quadrangle = (4-pi)*(Short Diagonal of Circular Arc Quadrangle/(2*(sqrt(2)-1)))^2
A = (4-pi)*(dShort/(2*(sqrt(2)-1)))^2
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Area of Circular Arc Quadrangle - (Measured in Square Meter) - The Area of Circular Arc Quadrangle is the amount of two-dimensional space taken up by an object.
Short Diagonal of Circular Arc Quadrangle - (Measured in Meter) - Short Diagonal of Circular Arc Quadrangle is a straight line joining two non-adjacent corners of a Circular Arc Quadrangle.
STEP 1: Convert Input(s) to Base Unit
Short Diagonal of Circular Arc Quadrangle: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (4-pi)*(dShort/(2*(sqrt(2)-1)))^2 --> (4-pi)*(12/(2*(sqrt(2)-1)))^2
Evaluating ... ...
A = 180.113927828351
STEP 3: Convert Result to Output's Unit
180.113927828351 Square Meter --> No Conversion Required
FINAL ANSWER
180.113927828351 180.1139 Square Meter <-- Area of Circular Arc Quadrangle
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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4 Area of Circular Arc Quadrangle Calculators

Area of Circular Arc Quadrangle given Short Diagonal
Go Area of Circular Arc Quadrangle = (4-pi)*(Short Diagonal of Circular Arc Quadrangle/(2*(sqrt(2)-1)))^2
Area of Circular Arc Quadrangle given Perimeter
Go Area of Circular Arc Quadrangle = (4-pi)*(Perimeter of Circular Arc Quadrangle/(2*pi))^2
Area of Circular Arc Quadrangle given Long Diagonal
Go Area of Circular Arc Quadrangle = (4-pi)*(Long Diagonal of Circular Arc Quadrangle/2)^2
Area of Circular Arc Quadrangle
Go Area of Circular Arc Quadrangle = (4-pi)*Radius of Circle of Circular Arc Quadrangle^2

Area of Circular Arc Quadrangle given Short Diagonal Formula

Area of Circular Arc Quadrangle = (4-pi)*(Short Diagonal of Circular Arc Quadrangle/(2*(sqrt(2)-1)))^2
A = (4-pi)*(dShort/(2*(sqrt(2)-1)))^2

What is a Circular Arc Quadrangle?

A Circular Arc Quadrangle lies between four equal-sized, touching circles. It is a square, which has a quarter circle removed from each side. The circular arc quadrangle resembles to an Astroid, but is a different shape.

How to Calculate Area of Circular Arc Quadrangle given Short Diagonal?

Area of Circular Arc Quadrangle given Short Diagonal calculator uses Area of Circular Arc Quadrangle = (4-pi)*(Short Diagonal of Circular Arc Quadrangle/(2*(sqrt(2)-1)))^2 to calculate the Area of Circular Arc Quadrangle, The Area of Circular Arc Quadrangle given Short Diagonal formula is defined as the measure of the total space or region that the surface of the object occupies of a Circular Arc Quadrangle, calculated using its short diagonal. Area of Circular Arc Quadrangle is denoted by A symbol.

How to calculate Area of Circular Arc Quadrangle given Short Diagonal using this online calculator? To use this online calculator for Area of Circular Arc Quadrangle given Short Diagonal, enter Short Diagonal of Circular Arc Quadrangle (dShort) and hit the calculate button. Here is how the Area of Circular Arc Quadrangle given Short Diagonal calculation can be explained with given input values -> 180.1139 = (4-pi)*(12/(2*(sqrt(2)-1)))^2.

FAQ

What is Area of Circular Arc Quadrangle given Short Diagonal?
The Area of Circular Arc Quadrangle given Short Diagonal formula is defined as the measure of the total space or region that the surface of the object occupies of a Circular Arc Quadrangle, calculated using its short diagonal and is represented as A = (4-pi)*(dShort/(2*(sqrt(2)-1)))^2 or Area of Circular Arc Quadrangle = (4-pi)*(Short Diagonal of Circular Arc Quadrangle/(2*(sqrt(2)-1)))^2. Short Diagonal of Circular Arc Quadrangle is a straight line joining two non-adjacent corners of a Circular Arc Quadrangle.
How to calculate Area of Circular Arc Quadrangle given Short Diagonal?
The Area of Circular Arc Quadrangle given Short Diagonal formula is defined as the measure of the total space or region that the surface of the object occupies of a Circular Arc Quadrangle, calculated using its short diagonal is calculated using Area of Circular Arc Quadrangle = (4-pi)*(Short Diagonal of Circular Arc Quadrangle/(2*(sqrt(2)-1)))^2. To calculate Area of Circular Arc Quadrangle given Short Diagonal, you need Short Diagonal of Circular Arc Quadrangle (dShort). With our tool, you need to enter the respective value for Short Diagonal of Circular Arc Quadrangle 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 Circular Arc Quadrangle?
In this formula, Area of Circular Arc Quadrangle uses Short Diagonal of Circular Arc Quadrangle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Area of Circular Arc Quadrangle = (4-pi)*Radius of Circle of Circular Arc Quadrangle^2
  • Area of Circular Arc Quadrangle = (4-pi)*(Long Diagonal of Circular Arc Quadrangle/2)^2
  • Area of Circular Arc Quadrangle = (4-pi)*(Perimeter of Circular Arc Quadrangle/(2*pi))^2
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