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Area of Pentagon given side and angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (5*Side^2)/4*tan(Angle)
A = (5*S^2)/4*tan(α)
This formula uses 1 Functions, 2 Variables
Functions Used
tan - Trigonometric tangent function, tan(Angle)
Variables Used
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Angle - The Angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
Angle: 180 Degree --> 3.1415926535892 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (5*S^2)/4*tan(α) --> (5*9^2)/4*tan(3.1415926535892)
Evaluating ... ...
A = -6.00843465557504E-11
STEP 3: Convert Result to Output's Unit
-6.00843465557504E-11 Square Meter --> No Conversion Required
FINAL ANSWER
-6.00843465557504E-11 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

5 Area and Perimeter of Pentagon Calculators

Area of Pentagon given radius
area = (5/2)*(Radius^2)*(sin(Angle A)) Go
Area of Pentagon given side and angle
area = (5*Side^2)/4*tan(Angle) Go
Area of Pentagon given side and apothem
area = (5/2)*Side*Apothem Go
Area of Pentagon given side
area = 1.720*(Side)^2 Go
Perimeter of Pentagon
perimeter = (5*Side) Go

Area of Pentagon given side and angle Formula

area = (5*Side^2)/4*tan(Angle)
A = (5*S^2)/4*tan(α)

How to calculate the Area of pentagon if only side length of a pentagon is given?

A regular pentagon is one with all equal sides and angles. Its interior angles measures 108 degrees and its exterior angles measure 72 degrees.

How to Calculate Area of Pentagon given side and angle?

Area of Pentagon given side and angle calculator uses area = (5*Side^2)/4*tan(Angle) to calculate the Area, Area of Pentagon given side and angle is defined as the space occupied by the pentagon in space. Area and is denoted by A symbol.

How to calculate Area of Pentagon given side and angle using this online calculator? To use this online calculator for Area of Pentagon given side and angle, enter Side (S) & Angle (α) and hit the calculate button. Here is how the Area of Pentagon given side and angle calculation can be explained with given input values -> -6.008E-11 = (5*9^2)/4*tan(3.1415926535892).

FAQ

What is Area of Pentagon given side and angle?
Area of Pentagon given side and angle is defined as the space occupied by the pentagon in space and is represented as A = (5*S^2)/4*tan(α) or area = (5*Side^2)/4*tan(Angle). The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back & The Angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Area of Pentagon given side and angle?
Area of Pentagon given side and angle is defined as the space occupied by the pentagon in space is calculated using area = (5*Side^2)/4*tan(Angle). To calculate Area of Pentagon given side and angle, you need Side (S) & Angle (α). With our tool, you need to enter the respective value for Side & Angle 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?
In this formula, Area uses Side & Angle. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • area = 1.720*(Side)^2
  • area = (5*Side^2)/4*tan(Angle)
  • area = (5/2)*(Radius^2)*(sin(Angle A))
  • area = (5/2)*Side*Apothem
  • perimeter = (5*Side)
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