Base Area of Half Cylinder Solution

STEP 0: Pre-Calculation Summary
Formula Used
Base Area of Half Cylinder = (pi*Radius of Half Cylinder^2)/2
ABase = (pi*r^2)/2
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Base Area of Half Cylinder - (Measured in Square Meter) - Base Area of Half Cylinder is the area of the base circular face of Half Cylinder.
Radius of Half Cylinder - (Measured in Meter) - Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.
STEP 1: Convert Input(s) to Base Unit
Radius of Half Cylinder: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ABase = (pi*r^2)/2 --> (pi*10^2)/2
Evaluating ... ...
ABase = 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 <-- Base Area of Half Cylinder
(Calculation completed in 00.006 seconds)

Credits

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Created by Divanshi Jain
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
Divanshi Jain has created this Calculator and 300+ more calculators!
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Verified by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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8 Surface Area of Half Cylinder Calculators

Total Surface Area of Half Cylinder given Space Diagonal and Height
​ Go Total Surface Area of Half Cylinder = (pi*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)*(Height of Half Cylinder+sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)))+(2*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)*Height of Half Cylinder)
Total Surface Area of Half Cylinder given Volume and Radius
​ Go Total Surface Area of Half Cylinder = (2*Volume of Half Cylinder)/Radius of Half Cylinder+pi*Radius of Half Cylinder^2+(4*Volume of Half Cylinder)/(pi*Radius of Half Cylinder)
Total Surface Area of Half Cylinder
​ Go Total Surface Area of Half Cylinder = (pi*Radius of Half Cylinder*(Height of Half Cylinder+Radius of Half Cylinder))+(2*Radius of Half Cylinder*Height of Half Cylinder)
Total Surface Area of Half Cylinder given Curved Surface Area and Radius
​ Go Total Surface Area of Half Cylinder = Curved Surface Area of Half Cylinder+pi*Radius of Half Cylinder^2+(2*Curved Surface Area of Half Cylinder)/pi
Curved Surface Area of Half Cylinder given Space Diagonal and Height
​ Go Curved Surface Area of Half Cylinder = pi*Height of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)
Curved Surface Area of Half Cylinder given Space Diagonal and Radius
​ Go Curved Surface Area of Half Cylinder = pi*Radius of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)
Curved Surface Area of Half Cylinder
​ Go Curved Surface Area of Half Cylinder = pi*Radius of Half Cylinder*Height of Half Cylinder
Base Area of Half Cylinder
​ Go Base Area of Half Cylinder = (pi*Radius of Half Cylinder^2)/2

5 Base Area of Half Cylinder Calculators

Base Area of Half Cylinder given Surface to Volume Ratio and Height
​ Go Base Area of Half Cylinder = pi/2*((Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi))^2
Base Area of Half Cylinder given Curved Surface Area and Height
​ Go Base Area of Half Cylinder = Curved Surface Area of Half Cylinder^2/(2*pi*Height of Half Cylinder^2)
Base Area of Half Cylinder given Space Diagonal and Height
​ Go Base Area of Half Cylinder = (pi*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2))/2
Base Area of Half Cylinder given Volume
​ Go Base Area of Half Cylinder = Volume of Half Cylinder/Height of Half Cylinder
Base Area of Half Cylinder
​ Go Base Area of Half Cylinder = (pi*Radius of Half Cylinder^2)/2

Base Area of Half Cylinder Formula

Base Area of Half Cylinder = (pi*Radius of Half Cylinder^2)/2
ABase = (pi*r^2)/2

What is Half Cylinder?

A Half-cylindrical shape in mathematics is a three-dimensional solid figure which is obtained when a cylinder is truncated longitudinally. When a horizontal cylinder is cut into two equal pieces parallel to the length of the cylinder, the shapes thus obtained are called half-cylinders.

How to Calculate Base Area of Half Cylinder?

Base Area of Half Cylinder calculator uses Base Area of Half Cylinder = (pi*Radius of Half Cylinder^2)/2 to calculate the Base Area of Half Cylinder, The Base Area of Half Cylinder formula is defined as the area of the base circular face of Half Cylinder. Base Area of Half Cylinder is denoted by ABase symbol.

How to calculate Base Area of Half Cylinder using this online calculator? To use this online calculator for Base Area of Half Cylinder, enter Radius of Half Cylinder (r) and hit the calculate button. Here is how the Base Area of Half Cylinder calculation can be explained with given input values -> 157.0796 = (pi*10^2)/2.

FAQ

What is Base Area of Half Cylinder?
The Base Area of Half Cylinder formula is defined as the area of the base circular face of Half Cylinder and is represented as ABase = (pi*r^2)/2 or Base Area of Half Cylinder = (pi*Radius of Half Cylinder^2)/2. Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.
How to calculate Base Area of Half Cylinder?
The Base Area of Half Cylinder formula is defined as the area of the base circular face of Half Cylinder is calculated using Base Area of Half Cylinder = (pi*Radius of Half Cylinder^2)/2. To calculate Base Area of Half Cylinder, you need Radius of Half Cylinder (r). With our tool, you need to enter the respective value for Radius of Half Cylinder 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 Base Area of Half Cylinder?
In this formula, Base Area of Half Cylinder uses Radius of Half Cylinder. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Base Area of Half Cylinder = Curved Surface Area of Half Cylinder^2/(2*pi*Height of Half Cylinder^2)
  • Base Area of Half Cylinder = (pi*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2))/2
  • Base Area of Half Cylinder = pi/2*((Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi))^2
  • Base Area of Half Cylinder = Volume of Half Cylinder/Height of Half Cylinder
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