Area of Semicircle given Diameter of Semicircle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Semicircle = pi/8*Diameter of Semicircle^2
A = pi/8*D^2
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Area of Semicircle - (Measured in Square Meter) - The Area of Semicircle is the total amount of space or region enclosed inside the Semicircle.
Diameter of Semicircle - (Measured in Meter) - Diameter of Semicircle is defined as the length of the longest chord of the semicircle.
STEP 1: Convert Input(s) to Base Unit
Diameter of Semicircle: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = pi/8*D^2 --> pi/8*20^2
Evaluating ... ...
A = 157.07963267949
STEP 3: Convert Result to Output's Unit
157.07963267949 Square Meter --> No Conversion Required
FINAL ANSWER
157.07963267949 157.0796 Square Meter <-- Area of Semicircle
(Calculation completed in 00.006 seconds)

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Area of Semicircle Calculators

Area of Semicircle given Perimeter
​ Go Area of Semicircle = pi/2*(Perimeter of Semicircle/(pi+2))^2
Area of Semicircle given Arc Length
​ Go Area of Semicircle = (Arc Length of Semicircle^2)/(2*pi)
Area of Semicircle given Diameter of Semicircle
​ Go Area of Semicircle = pi/8*Diameter of Semicircle^2
Area of Semicircle
​ Go Area of Semicircle = pi/2*Radius of Semicircle^2

Area of Semicircle given Diameter of Semicircle Formula

Area of Semicircle = pi/8*Diameter of Semicircle^2
A = pi/8*D^2

What is a Semicircle?

A Semicircle is basically half of a circle. Geometrically a Semicircle is the two dimensional space bounded in between a diameter and any one of the semi arc of the circumference of a circle. In terms of circular sector, a Semicircle is a circular sector with sector angle is 180 degrees.

How to Calculate Area of Semicircle given Diameter of Semicircle?

Area of Semicircle given Diameter of Semicircle calculator uses Area of Semicircle = pi/8*Diameter of Semicircle^2 to calculate the Area of Semicircle, Area of Semicircle given Diameter of Semicircle is defined as the total amount of space occupied by the Semicircle in a given plane, calculated using its diameter. Area of Semicircle is denoted by A symbol.

How to calculate Area of Semicircle given Diameter of Semicircle using this online calculator? To use this online calculator for Area of Semicircle given Diameter of Semicircle, enter Diameter of Semicircle (D) and hit the calculate button. Here is how the Area of Semicircle given Diameter of Semicircle calculation can be explained with given input values -> 157.0796 = pi/8*20^2.

FAQ

What is Area of Semicircle given Diameter of Semicircle?
Area of Semicircle given Diameter of Semicircle is defined as the total amount of space occupied by the Semicircle in a given plane, calculated using its diameter and is represented as A = pi/8*D^2 or Area of Semicircle = pi/8*Diameter of Semicircle^2. Diameter of Semicircle is defined as the length of the longest chord of the semicircle.
How to calculate Area of Semicircle given Diameter of Semicircle?
Area of Semicircle given Diameter of Semicircle is defined as the total amount of space occupied by the Semicircle in a given plane, calculated using its diameter is calculated using Area of Semicircle = pi/8*Diameter of Semicircle^2. To calculate Area of Semicircle given Diameter of Semicircle, you need Diameter of Semicircle (D). With our tool, you need to enter the respective value for Diameter of Semicircle 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 Semicircle?
In this formula, Area of Semicircle uses Diameter of Semicircle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Area of Semicircle = (Arc Length of Semicircle^2)/(2*pi)
  • Area of Semicircle = pi/2*(Perimeter of Semicircle/(pi+2))^2
  • Area of Semicircle = pi/2*Radius of Semicircle^2
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