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Area of a Circle when diameter is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
area_of_circle = (pi/4)*Diameter^2
A = (pi/4)*d^2
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diameter: 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 Square Meter <-- Area of Circle
(Calculation completed in 00.016 seconds)

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4 Other formulas that calculate the same Output

Area of a Circle when area of sector is given
area_of_circle = Area of Sector*(360/Central Angle) Go
Area of a Circle when radius is given
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Area of circle given area of sector with angle 120 degrees
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Area of circle when area of quadrant is given
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Area of a Circle when diameter is given Formula

area_of_circle = (pi/4)*Diameter^2
A = (pi/4)*d^2

What is Area of a Circle when diameter is given?

Area of a circle when radius is given is the region occupied by the circle in a two-dimensional plane of diameter "d". Although often referred to as the area of a circle in informal contexts, strictly speaking the term disk refers to the interior of the circle, while circle is reserved for the boundary only, which is a curve and covers no area itself. Therefore, the area of a disk is the more precise phrase for the area enclosed by a circle.

How to Calculate Area of a Circle when diameter is given?

Area of a Circle when diameter is given calculator uses area_of_circle = (pi/4)*Diameter^2 to calculate the Area of Circle, The area of a circle when diameter is given is the area enclosed by a circle of diameter d. Area of Circle and is denoted by A symbol.

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

FAQ

What is Area of a Circle when diameter is given?
The area of a circle when diameter is given is the area enclosed by a circle of diameter d and is represented as A = (pi/4)*d^2 or area_of_circle = (pi/4)*Diameter^2. Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
How to calculate Area of a Circle when diameter is given?
The area of a circle when diameter is given is the area enclosed by a circle of diameter d is calculated using area_of_circle = (pi/4)*Diameter^2. To calculate Area of a Circle when diameter is given, you need Diameter (d). With our tool, you need to enter the respective value for Diameter 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. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • area_of_circle = pi*Radius^2
  • area_of_circle = Area of Sector*(360/Central Angle)
  • area_of_circle = 4*Area
  • area_of_circle = 3*Area of Sector
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