Area of Circle given Circumference Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Circle = Circumference of Circle^2/(4*pi)
A = C^2/(4*pi)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Area of Circle - (Measured in Square Meter) - Area of Circle is the amount of two-dimensional space taken up by a Circle.
Circumference of Circle - (Measured in Meter) - Circumference of Circle is the distance around the Circle.
STEP 1: Convert Input(s) to Base Unit
Circumference of Circle: 30 Meter --> 30 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = C^2/(4*pi) --> 30^2/(4*pi)
Evaluating ... ...
A = 71.6197243913529
STEP 3: Convert Result to Output's Unit
71.6197243913529 Square Meter --> No Conversion Required
FINAL ANSWER
71.6197243913529 71.61972 Square Meter <-- Area of Circle
(Calculation completed in 00.020 seconds)

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Area of Circle Calculators

Area of Circle given Chord Length
​ LaTeX ​ Go Area of Circle = pi*(Chord Length of Circle/(2*sin(Central Angle of Circle/2)))^2
Area of Circle given Circumference
​ LaTeX ​ Go Area of Circle = Circumference of Circle^2/(4*pi)
Area of Circle given Diameter
​ LaTeX ​ Go Area of Circle = pi/4*Diameter of Circle^2
Area of Circle
​ LaTeX ​ Go Area of Circle = pi*Radius of Circle^2

Area of Circle given Circumference Formula

​LaTeX ​Go
Area of Circle = Circumference of Circle^2/(4*pi)
A = C^2/(4*pi)

What is a Circle?

A Circle is a basic two dimensional geometric shape which is defined as the collection of all points on a plane which are in a fixed distance from a fixed point. The fixed point is called the center of the Circle and the fixed distance is called the radius of the Circle. When two radii become collinear, that combined length is called the diameter of the Circle. That is, diameter is the length of the line segment inside the Circle which pass through the center and it will be two times the radius.

How to Calculate Area of Circle given Circumference?

Area of Circle given Circumference calculator uses Area of Circle = Circumference of Circle^2/(4*pi) to calculate the Area of Circle, Area of Circle given Circumference formula is defined as the amount of 2D space or region enclosed by a Circle inside its perimeter and is calculated using the circumference of the Circle. Area of Circle is denoted by A symbol.

How to calculate Area of Circle given Circumference using this online calculator? To use this online calculator for Area of Circle given Circumference, enter Circumference of Circle (C) and hit the calculate button. Here is how the Area of Circle given Circumference calculation can be explained with given input values -> 71.61972 = 30^2/(4*pi).

FAQ

What is Area of Circle given Circumference?
Area of Circle given Circumference formula is defined as the amount of 2D space or region enclosed by a Circle inside its perimeter and is calculated using the circumference of the Circle and is represented as A = C^2/(4*pi) or Area of Circle = Circumference of Circle^2/(4*pi). Circumference of Circle is the distance around the Circle.
How to calculate Area of Circle given Circumference?
Area of Circle given Circumference formula is defined as the amount of 2D space or region enclosed by a Circle inside its perimeter and is calculated using the circumference of the Circle is calculated using Area of Circle = Circumference of Circle^2/(4*pi). To calculate Area of Circle given Circumference, you need Circumference of Circle (C). With our tool, you need to enter the respective value for Circumference of Circle 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 Circle?
In this formula, Area of Circle uses Circumference of Circle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Area of Circle = pi*Radius of Circle^2
  • Area of Circle = pi/4*Diameter of Circle^2
  • Area of Circle = pi*(Chord Length of Circle/(2*sin(Central Angle of Circle/2)))^2
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