Area of Semicircle given Arc Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Semicircle = (Arc Length of Semicircle^2)/(2*pi)
A = (lArc^2)/(2*pi)
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.
Arc Length of Semicircle - (Measured in Meter) - Arc Length of Semicircle is defined as the length of the arc of the Semicircle.
STEP 1: Convert Input(s) to Base Unit
Arc Length of Semicircle: 30 Meter --> 30 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (lArc^2)/(2*pi) --> (30^2)/(2*pi)
Evaluating ... ...
A = 143.239448782706
STEP 3: Convert Result to Output's Unit
143.239448782706 Square Meter --> No Conversion Required
FINAL ANSWER
143.239448782706 143.2394 Square Meter <-- Area of Semicircle
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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5 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 Area of Circle
Go Area of Semicircle = Area of Circle of Semicircle/2

Area of Semicircle given Arc Length Formula

Area of Semicircle = (Arc Length of Semicircle^2)/(2*pi)
A = (lArc^2)/(2*pi)

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 Arc Length?

Area of Semicircle given Arc Length calculator uses Area of Semicircle = (Arc Length of Semicircle^2)/(2*pi) to calculate the Area of Semicircle, The Area of Semicircle given Arc Length formula is defined as the total amount of space occupied by the Semicircle in a given plane and calculated using the arc length of the Semicircle. Area of Semicircle is denoted by A symbol.

How to calculate Area of Semicircle given Arc Length using this online calculator? To use this online calculator for Area of Semicircle given Arc Length, enter Arc Length of Semicircle (lArc) and hit the calculate button. Here is how the Area of Semicircle given Arc Length calculation can be explained with given input values -> 143.2394 = (30^2)/(2*pi).

FAQ

What is Area of Semicircle given Arc Length?
The Area of Semicircle given Arc Length formula is defined as the total amount of space occupied by the Semicircle in a given plane and calculated using the arc length of the Semicircle and is represented as A = (lArc^2)/(2*pi) or Area of Semicircle = (Arc Length of Semicircle^2)/(2*pi). Arc Length of Semicircle is defined as the length of the arc of the Semicircle.
How to calculate Area of Semicircle given Arc Length?
The Area of Semicircle given Arc Length formula is defined as the total amount of space occupied by the Semicircle in a given plane and calculated using the arc length of the Semicircle is calculated using Area of Semicircle = (Arc Length of Semicircle^2)/(2*pi). To calculate Area of Semicircle given Arc Length, you need Arc Length of Semicircle (lArc). With our tool, you need to enter the respective value for Arc Length 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 Arc Length of Semicircle. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Area of Semicircle = pi/2*(Perimeter of Semicircle/(pi+2))^2
  • Area of Semicircle = pi/2*Radius of Semicircle^2
  • Area of Semicircle = pi/8*Diameter of Semicircle^2
  • Area of Semicircle = Area of Circle of Semicircle/2
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