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Area of Pentagon given side and apothem Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (5/2)*Side*Apothem
A = (5/2)*S*r
This formula uses 2 Variables
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)
Apothem - Apothem is defined as the radius of the incircle of a polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
Apothem: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (5/2)*S*r --> (5/2)*9*5
Evaluating ... ...
A = 112.5
STEP 3: Convert Result to Output's Unit
112.5 Square Meter --> No Conversion Required
FINAL ANSWER
112.5 Square Meter <-- Area
(Calculation completed in 00.015 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 apothem Formula

area = (5/2)*Side*Apothem
A = (5/2)*S*r

what is pentagon and apothem?

A pentagon is any five-sided polygon or 5-gon. A line segment from the center of a regular polygon to the midpoint of a side.

How to Calculate Area of Pentagon given side and apothem?

Area of Pentagon given side and apothem calculator uses area = (5/2)*Side*Apothem to calculate the Area, Area of Pentagon given side and apothem is given is defined as the space occupied by a pentagon. Area and is denoted by A symbol.

How to calculate Area of Pentagon given side and apothem using this online calculator? To use this online calculator for Area of Pentagon given side and apothem, enter Side (S) & Apothem (r) and hit the calculate button. Here is how the Area of Pentagon given side and apothem calculation can be explained with given input values -> 112.5 = (5/2)*9*5.

FAQ

What is Area of Pentagon given side and apothem?
Area of Pentagon given side and apothem is given is defined as the space occupied by a pentagon and is represented as A = (5/2)*S*r or area = (5/2)*Side*Apothem. 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 & Apothem is defined as the radius of the incircle of a polygon.
How to calculate Area of Pentagon given side and apothem?
Area of Pentagon given side and apothem is given is defined as the space occupied by a pentagon is calculated using area = (5/2)*Side*Apothem. To calculate Area of Pentagon given side and apothem, you need Side (S) & Apothem (r). With our tool, you need to enter the respective value for Side & Apothem 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 & Apothem. 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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