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Calotte area of Spherical Cap given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (2*pi*Radius*((1/(2*Radius))*((Surface Area Polyhedron/pi)-(Radius 1^2))))
A = (2*pi*r*((1/(2*r))*((SAPolyhedron/pi)-(r1^2))))
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
Surface Area Polyhedron - Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron. (Measured in Square Meter)
Radius 1 - Radius 1 is a radial line from the focus to any point of a curve. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Radius: 10 Meter --> 10 Meter No Conversion Required
Surface Area Polyhedron: 1000 Square Meter --> 1000 Square Meter No Conversion Required
Radius 1: 11 Meter --> 11 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (2*pi*r*((1/(2*r))*((SAPolyhedron/pi)-(r1^2)))) --> (2*pi*10*((1/(2*10))*((1000/pi)-(11^2))))
Evaluating ... ...
A = 619.867288915635
STEP 3: Convert Result to Output's Unit
619.867288915635 Square Meter --> No Conversion Required
FINAL ANSWER
619.867288915635 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

5 Calotte area of Spherical Cap Calculators

Calotte area of Spherical Cap given surface area and missing sphere radius
area = (2*pi*((1/(2*Height))*((Surface Area Polyhedron/pi)-(Radius 1^2)))*Height) Go
Calotte area of Spherical Cap given surface area
area = (2*pi*Radius*((1/(2*Radius))*((Surface Area Polyhedron/pi)-(Radius 1^2)))) Go
Calotte area of Spherical Cap given volume
area = (2*pi*((((3*Volume Polyhedron)/((Height^2)*pi))+Height)*(1/3))*Height) Go
Calotte area of Spherical Cap given spherical cap radius
area = (2*pi*((1/2)*(Height+((Radius 1^2)/Height)))*Height) Go
Calotte area of Spherical Cap
area = (2*pi*Radius*Height) Go

Calotte area of Spherical Cap given surface area Formula

area = (2*pi*Radius*((1/(2*Radius))*((Surface Area Polyhedron/pi)-(Radius 1^2))))
A = (2*pi*r*((1/(2*r))*((SAPolyhedron/pi)-(r1^2))))

What is Spherical Cap?

In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane. If the plane passes through the center of the sphere, so that the height of the cap is equal to the radius of the sphere, the spherical cap is called a hemisphere.

How to Calculate Calotte area of Spherical Cap given surface area?

Calotte area of Spherical Cap given surface area calculator uses area = (2*pi*Radius*((1/(2*Radius))*((Surface Area Polyhedron/pi)-(Radius 1^2)))) to calculate the Area, Calotte area of Spherical Cap given surface area formula is defined as area of curved part of the cap. Area and is denoted by A symbol.

How to calculate Calotte area of Spherical Cap given surface area using this online calculator? To use this online calculator for Calotte area of Spherical Cap given surface area, enter Radius (r), Surface Area Polyhedron (SAPolyhedron) & Radius 1 (r1) and hit the calculate button. Here is how the Calotte area of Spherical Cap given surface area calculation can be explained with given input values -> 619.8673 = (2*pi*10*((1/(2*10))*((1000/pi)-(11^2)))).

FAQ

What is Calotte area of Spherical Cap given surface area?
Calotte area of Spherical Cap given surface area formula is defined as area of curved part of the cap and is represented as A = (2*pi*r*((1/(2*r))*((SAPolyhedron/pi)-(r1^2)))) or area = (2*pi*Radius*((1/(2*Radius))*((Surface Area Polyhedron/pi)-(Radius 1^2)))). Radius is a radial line from the focus to any point of a curve, Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron & Radius 1 is a radial line from the focus to any point of a curve.
How to calculate Calotte area of Spherical Cap given surface area?
Calotte area of Spherical Cap given surface area formula is defined as area of curved part of the cap is calculated using area = (2*pi*Radius*((1/(2*Radius))*((Surface Area Polyhedron/pi)-(Radius 1^2)))). To calculate Calotte area of Spherical Cap given surface area, you need Radius (r), Surface Area Polyhedron (SAPolyhedron) & Radius 1 (r1). With our tool, you need to enter the respective value for Radius, Surface Area Polyhedron & Radius 1 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?
In this formula, Area uses Radius, Surface Area Polyhedron & Radius 1. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • area = (2*pi*Radius*Height)
  • area = (2*pi*((1/2)*(Height+((Radius 1^2)/Height)))*Height)
  • area = (2*pi*((1/(2*Height))*((Surface Area Polyhedron/pi)-(Radius 1^2)))*Height)
  • area = (2*pi*((((3*Volume Polyhedron)/((Height^2)*pi))+Height)*(1/3))*Height)
  • area = (2*pi*Radius*((1/(2*Radius))*((Surface Area Polyhedron/pi)-(Radius 1^2))))
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