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Base area of Toroid Sector given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
base_area = ((Surface Area Polyhedron-(2*pi*Radius*Perimeter*(Angle A/(2*pi))))/2)
A = ((SAPolyhedron-(2*pi*r*P*(∠A/(2*pi))))/2)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Surface Area Polyhedron - Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron. (Measured in Square Meter)
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
Angle A - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Surface Area Polyhedron: 1000 Square Meter --> 1000 Square Meter No Conversion Required
Radius: 10 Meter --> 10 Meter No Conversion Required
Perimeter: 20 Meter --> 20 Meter No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = ((SAPolyhedron-(2*pi*r*P*(∠A/(2*pi))))/2) --> ((1000-(2*pi*10*20*(0.5235987755982/(2*pi))))/2)
Evaluating ... ...
A = 447.64012244018
STEP 3: Convert Result to Output's Unit
447.64012244018 Square Meter --> No Conversion Required
FINAL ANSWER
447.64012244018 Square Meter <-- Base Area
(Calculation completed in 00.016 seconds)

3 Base area and Base perimeter of Toroid Sector Calculators

Base perimeter of Toroid Sector given surface area
perimeter = (Surface Area Polyhedron-(2*Base Area))/(2*pi*Radius*(Angle A/(2*pi))) Go
Base area of Toroid Sector given surface area
base_area = ((Surface Area Polyhedron-(2*pi*Radius*Perimeter*(Angle A/(2*pi))))/2) Go
Base area of Toroid Sector given volume
base_area = (Volume/(2*pi*Radius*(Angle A/(2*pi)))) Go

Base area of Toroid Sector given surface area Formula

base_area = ((Surface Area Polyhedron-(2*pi*Radius*Perimeter*(Angle A/(2*pi))))/2)
A = ((SAPolyhedron-(2*pi*r*P*(∠A/(2*pi))))/2)

What is Toroid?

In mathematics, a toroid is a surface of revolution with a hole in the middle, like a doughnut, forming a solid body. The axis of revolution passes through the hole and so does not intersect the surface.

How to Calculate Base area of Toroid Sector given surface area?

Base area of Toroid Sector given surface area calculator uses base_area = ((Surface Area Polyhedron-(2*pi*Radius*Perimeter*(Angle A/(2*pi))))/2) to calculate the Base Area, The Base area of Toroid Sector given surface area formula is defined as amount of space occupied by base of Toroid in given plane. Base Area and is denoted by A symbol.

How to calculate Base area of Toroid Sector given surface area using this online calculator? To use this online calculator for Base area of Toroid Sector given surface area, enter Surface Area Polyhedron (SAPolyhedron), Radius (r), Perimeter (P) & Angle A (∠A) and hit the calculate button. Here is how the Base area of Toroid Sector given surface area calculation can be explained with given input values -> 447.6401 = ((1000-(2*pi*10*20*(0.5235987755982/(2*pi))))/2).

FAQ

What is Base area of Toroid Sector given surface area?
The Base area of Toroid Sector given surface area formula is defined as amount of space occupied by base of Toroid in given plane and is represented as A = ((SAPolyhedron-(2*pi*r*P*(∠A/(2*pi))))/2) or base_area = ((Surface Area Polyhedron-(2*pi*Radius*Perimeter*(Angle A/(2*pi))))/2). Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron, Radius is a radial line from the focus to any point of a curve, The perimeter of a figure is the total distance around the edge of the figure & The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Base area of Toroid Sector given surface area?
The Base area of Toroid Sector given surface area formula is defined as amount of space occupied by base of Toroid in given plane is calculated using base_area = ((Surface Area Polyhedron-(2*pi*Radius*Perimeter*(Angle A/(2*pi))))/2). To calculate Base area of Toroid Sector given surface area, you need Surface Area Polyhedron (SAPolyhedron), Radius (r), Perimeter (P) & Angle A (∠A). With our tool, you need to enter the respective value for Surface Area Polyhedron, Radius, Perimeter & Angle A 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?
In this formula, Base Area uses Surface Area Polyhedron, Radius, Perimeter & Angle A. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • base_area = ((Surface Area Polyhedron-(2*pi*Radius*Perimeter*(Angle A/(2*pi))))/2)
  • base_area = (Volume/(2*pi*Radius*(Angle A/(2*pi))))
  • perimeter = (Surface Area Polyhedron-(2*Base Area))/(2*pi*Radius*(Angle A/(2*pi)))
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