Area of Circle given Diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Circle = pi/4*Diameter of Circle^2
A = pi/4*D^2
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.
Diameter of Circle - (Measured in Meter) - Diameter of Circle is the length of the chord passing through the center of the Circle.
STEP 1: Convert Input(s) to Base Unit
Diameter of Circle: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = pi/4*D^2 --> pi/4*10^2
Evaluating ... ...
A = 78.5398163397448
STEP 3: Convert Result to Output's Unit
78.5398163397448 Square Meter --> No Conversion Required
FINAL ANSWER
78.5398163397448 78.53982 Square Meter <-- Area of Circle
(Calculation completed in 00.004 seconds)

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4 Area of Circle Calculators

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

Area of Circle given Diameter Formula

Area of Circle = pi/4*Diameter of Circle^2
A = pi/4*D^2

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 Diameter?

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

How to calculate Area of Circle given Diameter using this online calculator? To use this online calculator for Area of Circle given Diameter, enter Diameter of Circle (D) and hit the calculate button. Here is how the Area of Circle given Diameter calculation can be explained with given input values -> 78.53982 = pi/4*10^2.

FAQ

What is Area of Circle given Diameter?
Area of Circle given Diameter formula is defined as the amount of 2D space or region enclosed by a Circle inside its perimeter and is calculated using the diameter of the Circle and is represented as A = pi/4*D^2 or Area of Circle = pi/4*Diameter of Circle^2. Diameter of Circle is the length of the chord passing through the center of the Circle.
How to calculate Area of Circle given Diameter?
Area of Circle given Diameter formula is defined as the amount of 2D space or region enclosed by a Circle inside its perimeter and is calculated using the diameter of the Circle is calculated using Area of Circle = pi/4*Diameter of Circle^2. To calculate Area of Circle given Diameter, you need Diameter of Circle (D). With our tool, you need to enter the respective value for Diameter 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 Diameter 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 = Circumference of Circle^2/(4*pi)
  • Area of Circle = pi*(Chord Length of Circle/(2*sin(Central Angle of Circle/2)))^2
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