Area of Semicircle given Perimeter Calculator

✖The Perimeter of Semicircle is the total distance around the edge of the Semicircle.ⓘ Perimeter of Semicircle [P]

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✖The Area of Semicircle is the total amount of space or region enclosed inside the Semicircle.ⓘ Area of Semicircle given Perimeter [A]

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Area of Semicircle given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Semicircle = pi/2*(Perimeter of Semicircle/(pi+2))^2
A = pi/2*(P/(pi+2))^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.
Perimeter of Semicircle - (Measured in Meter) - The Perimeter of Semicircle is the total distance around the edge of the Semicircle.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Semicircle: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = pi/2*(P/(pi+2))^2 --> pi/2*(50/(pi+2))^2

Evaluating ... ...

A = 148.547228339125

STEP 3: Convert Result to Output's Unit

148.547228339125 Square Meter --> No Conversion Required

FINAL ANSWER

148.547228339125 ≈ 148.5472 Square Meter <-- Area of Semicircle

(Calculation completed in 00.004 seconds)

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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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< Area of Semicircle Calculators

Area of Semicircle given Perimeter

LaTeX Go Area of Semicircle = pi/2*(Perimeter of Semicircle/(pi+2))^2

Area of Semicircle given Arc Length

LaTeX Go Area of Semicircle = (Arc Length of Semicircle^2)/(2*pi)

Area of Semicircle given Diameter of Semicircle

LaTeX Go Area of Semicircle = pi/8*Diameter of Semicircle^2

Area of Semicircle

LaTeX Go Area of Semicircle = pi/2*Radius of Semicircle^2

Area of Semicircle given Perimeter Formula

LaTeX Go

Area of Semicircle = pi/2*(Perimeter of Semicircle/(pi+2))^2
A = pi/2*(P/(pi+2))^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 Perimeter?

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

How to calculate Area of Semicircle given Perimeter using this online calculator? To use this online calculator for Area of Semicircle given Perimeter, enter Perimeter of Semicircle (P) and hit the calculate button. Here is how the Area of Semicircle given Perimeter calculation can be explained with given input values -> 148.5472 = pi/2*(50/(pi+2))^2.

FAQ

What is Area of Semicircle given Perimeter?

The Area of Semicircle given Perimeter formula is defined as the total amount of space occupied by the Semicircle in a given plane and calculated using the perimeter of the Semicircle and is represented as A = pi/2*(P/(pi+2))^2 or Area of Semicircle = pi/2*(Perimeter of Semicircle/(pi+2))^2. The Perimeter of Semicircle is the total distance around the edge of the Semicircle.

How to calculate Area of Semicircle given Perimeter?

The Area of Semicircle given Perimeter formula is defined as the total amount of space occupied by the Semicircle in a given plane and calculated using the perimeter of the Semicircle is calculated using Area of Semicircle = pi/2*(Perimeter of Semicircle/(pi+2))^2. To calculate Area of Semicircle given Perimeter, you need Perimeter of Semicircle (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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*Radius of Semicircle^2
Area of Semicircle = pi/8*Diameter of Semicircle^2

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