Credits

Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 1000+ more calculators!
Vishwakarma Institute of Technology (VIT), Pune
Shashwati Tidke has verified this Calculator and 100+ more calculators!

Area of Pentagon given radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (5/2)*(Radius^2)*(sin(Angle A))
A = (5/2)*(r^2)*(sin(∠A))
This formula uses 1 Functions, 2 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
Angle A - The angle A the space 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
Radius: 10 Meter --> 10 Meter No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (5/2)*(r^2)*(sin(∠A)) --> (5/2)*(10^2)*(sin(0.5235987755982))
Evaluating ... ...
A = 125
STEP 3: Convert Result to Output's Unit
125 Square Meter --> No Conversion Required
FINAL ANSWER
125 Square Meter <-- Area
(Calculation completed in 00.016 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 radius Formula

area = (5/2)*(Radius^2)*(sin(Angle A))
A = (5/2)*(r^2)*(sin(∠A))

How to calculate the Area of pentagon only the radius 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 radius?

Area of Pentagon given radius calculator uses area = (5/2)*(Radius^2)*(sin(Angle A)) to calculate the Area, Area of Pentagon given radius is given 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 radius using this online calculator? To use this online calculator for Area of Pentagon given radius, enter Radius (r) & Angle A (∠A) and hit the calculate button. Here is how the Area of Pentagon given radius calculation can be explained with given input values -> 125 = (5/2)*(10^2)*(sin(0.5235987755982)).

FAQ

What is Area of Pentagon given radius?
Area of Pentagon given radius is given is defined as the space occupied by the pentagon in space and is represented as A = (5/2)*(r^2)*(sin(∠A)) or area = (5/2)*(Radius^2)*(sin(Angle A)). Radius is a radial line from the focus to any point of a curve & The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Area of Pentagon given radius?
Area of Pentagon given radius is given is defined as the space occupied by the pentagon in space is calculated using area = (5/2)*(Radius^2)*(sin(Angle A)). To calculate Area of Pentagon given radius, you need Radius (r) & Angle A (∠A). With our tool, you need to enter the respective value for Radius & Angle A 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 Radius & Angle A. 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)
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!