Area of Fourstar Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Fourstar = (2*Spike Height of Fourstar*Spike Base of Fourstar)+Spike Base of Fourstar^2
A = (2*hSpike*bSpike)+bSpike^2
This formula uses 3 Variables
Variables Used
Area of Fourstar - (Measured in Square Meter) - The Area of Fourstar is the total quantity of plane enclosed by the boundary of the Fourstar.
Spike Height of Fourstar - (Measured in Meter) - The Spike Height of Fourstar is the height of the isosceles triangles with respect to the unequal side, which are attached to the square of the Fourstar as the spikes.
Spike Base of Fourstar - (Measured in Meter) - The Spike Base of Fourstar is the length of the square base of a Fourstar.
STEP 1: Convert Input(s) to Base Unit
Spike Height of Fourstar: 4 Meter --> 4 Meter No Conversion Required
Spike Base of Fourstar: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (2*hSpike*bSpike)+bSpike^2 --> (2*4*6)+6^2
Evaluating ... ...
A = 84
STEP 3: Convert Result to Output's Unit
84 Square Meter --> No Conversion Required
FINAL ANSWER
84 Square Meter <-- Area of Fourstar
(Calculation completed in 00.019 seconds)
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Credits

Created by Jaseem K
IIT Madras (IIT Madras), Chennai
Jaseem K has created this Calculator and 100+ more calculators!
Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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10+ Fourstar Calculators

Diameter of Fourstar given Edge Length and Inner Angle
Go Diameter of Fourstar = Edge Length of Fourstar*sqrt(2)*(sqrt(1+cos(Inner Angle of Fourstar))+sqrt(1-cos(Inner Angle of Fourstar)))
Spike Height of Fourstar given Inner Angle
Go Spike Height of Fourstar = Edge Length of Fourstar/2*sqrt(2*(1+cos(Inner Angle of Fourstar)))
Chord Length of Fourstar
Go Chord Length of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Outer Angle of Fourstar)))
Spike Base of Fourstar
Go Spike Base of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Inner Angle of Fourstar)))
Area of Fourstar
Go Area of Fourstar = (2*Spike Height of Fourstar*Spike Base of Fourstar)+Spike Base of Fourstar^2
Spike Height of Fourstar
Go Spike Height of Fourstar = sqrt((4*Edge Length of Fourstar^2-Spike Base of Fourstar^2)/4)
Spike Base of Fourstar given Diameter
Go Spike Base of Fourstar = Diameter of Fourstar-2*Spike Height of Fourstar
Diameter of Fourstar
Go Diameter of Fourstar = 2*Spike Height of Fourstar+Spike Base of Fourstar
Outer Angle of Fourstar
Go Outer Angle of Fourstar = Inner Angle of Fourstar+pi/2
Perimeter of Fourstar
Go Perimeter of Fourstar = 8*Edge Length of Fourstar

Area of Fourstar Formula

Area of Fourstar = (2*Spike Height of Fourstar*Spike Base of Fourstar)+Spike Base of Fourstar^2
A = (2*hSpike*bSpike)+bSpike^2

What is a Fourstar?

Fourstar is basically a four petal star shape. More clearly, it consists of a square and four identical triangles each having one side equal to the side length of the square. Each triangle is joined to the square with side of triangle with same length as the square coincide each other.

How to Calculate Area of Fourstar?

Area of Fourstar calculator uses Area of Fourstar = (2*Spike Height of Fourstar*Spike Base of Fourstar)+Spike Base of Fourstar^2 to calculate the Area of Fourstar, The Area of Fourstar formula is defined as the quantity of total plane bounded by the boundary of given Fourstar. Area of Fourstar is denoted by A symbol.

How to calculate Area of Fourstar using this online calculator? To use this online calculator for Area of Fourstar, enter Spike Height of Fourstar (hSpike) & Spike Base of Fourstar (bSpike) and hit the calculate button. Here is how the Area of Fourstar calculation can be explained with given input values -> 84 = (2*4*6)+6^2.

FAQ

What is Area of Fourstar?
The Area of Fourstar formula is defined as the quantity of total plane bounded by the boundary of given Fourstar and is represented as A = (2*hSpike*bSpike)+bSpike^2 or Area of Fourstar = (2*Spike Height of Fourstar*Spike Base of Fourstar)+Spike Base of Fourstar^2. The Spike Height of Fourstar is the height of the isosceles triangles with respect to the unequal side, which are attached to the square of the Fourstar as the spikes & The Spike Base of Fourstar is the length of the square base of a Fourstar.
How to calculate Area of Fourstar?
The Area of Fourstar formula is defined as the quantity of total plane bounded by the boundary of given Fourstar is calculated using Area of Fourstar = (2*Spike Height of Fourstar*Spike Base of Fourstar)+Spike Base of Fourstar^2. To calculate Area of Fourstar, you need Spike Height of Fourstar (hSpike) & Spike Base of Fourstar (bSpike). With our tool, you need to enter the respective value for Spike Height of Fourstar & Spike Base of Fourstar and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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