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Total Surface Area of Spherical Segment is the quantity of plane enclosed on the entire surface of the Spherical Segment. Check FAQs
TSA=CSA+(π⋅(rBase2+rTop2))
TSA - Total Surface Area of Spherical Segment?CSA - Curved Surface Area of Spherical Segment?rBase - Base Radius of Spherical Segment?rTop - Top Radius of Spherical Segment?π - Archimedes' constant?

Total Surface Area of Spherical Segment given Curved Surface Area Example

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Here is how the Total Surface Area of Spherical Segment given Curved Surface Area equation looks like with Values.

Here is how the Total Surface Area of Spherical Segment given Curved Surface Area equation looks like with Units.

Here is how the Total Surface Area of Spherical Segment given Curved Surface Area equation looks like.

835.2212Edit=320Edit+(3.1416⋅(10Edit2+8Edit2))
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Total Surface Area of Spherical Segment given Curved Surface Area Solution

Follow our step by step solution on how to calculate Total Surface Area of Spherical Segment given Curved Surface Area?

FIRST Step Consider the formula
TSA=CSA+(π⋅(rBase2+rTop2))
Next Step Substitute values of Variables
∴ TSA=320m²+(π⋅(10m2+8m2))
Next Step Substitute values of Constants
∴ TSA=320m²+(3.1416⋅(10m2+8m2))
Next Step Prepare to Evaluate
∴ TSA=320+(3.1416⋅(102+82))
Next Step Evaluate
∴TSA=835.221195188726m²
LAST Step Rounding Answer
∴TSA=835.2212m²

Total Surface Area of Spherical Segment given Curved Surface Area Formula Elements

Variables
Constants
Total Surface Area of Spherical Segment
Total Surface Area of Spherical Segment is the quantity of plane enclosed on the entire surface of the Spherical Segment.
Symbol: TSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Total Surface Area of Spherical SegmentOpen Variable
Curved Surface Area of Spherical Segment
Curved Surface Area of Spherical Segment is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Spherical Segment.
Symbol: CSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Curved Surface Area of Spherical SegmentOpen Variable
Base Radius of Spherical Segment
Base Radius of Spherical Segment is a radial line from the center to any point on the circumference of the base of the Spherical Segment.
Symbol: rBase
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Base Radius of Spherical SegmentOpen Variable
Top Radius of Spherical Segment
Top Radius of Spherical Segment is a radial line from the center to any point on the circumference of the top base of a Spherical Segment.
Symbol: rTop
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Top Radius of Spherical SegmentOpen Variable
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Total Surface Area of Spherical Segment

​Go Total Surface Area of Spherical Segment
TSA=π⋅((2⋅r⋅h)+rBase2+rTop2)
​Go Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length
TSA=π⋅((2⋅(lCenter-Base+h+lTop-Top)⋅h)+rBase2+rTop2)

How to Evaluate Total Surface Area of Spherical Segment given Curved Surface Area?

Total Surface Area of Spherical Segment given Curved Surface Area evaluator uses Total Surface Area of Spherical Segment = Curved Surface Area of Spherical Segment+(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)) to evaluate the Total Surface Area of Spherical Segment, The Total Surface Area of Spherical Segment given Curved Surface Area formula is defined as the quantity of plane enclosed on the entire surface of the Spherical Segment, and calculated using the curved surface area of Spherical Segment. Total Surface Area of Spherical Segment is denoted by TSA symbol.

How to evaluate Total Surface Area of Spherical Segment given Curved Surface Area using this online evaluator? To use this online evaluator for Total Surface Area of Spherical Segment given Curved Surface Area, enter Curved Surface Area of Spherical Segment (CSA), Base Radius of Spherical Segment (rBase) & Top Radius of Spherical Segment (rTop) and hit the calculate button.

FAQs on Total Surface Area of Spherical Segment given Curved Surface Area

What is the formula to find Total Surface Area of Spherical Segment given Curved Surface Area?
The formula of Total Surface Area of Spherical Segment given Curved Surface Area is expressed as Total Surface Area of Spherical Segment = Curved Surface Area of Spherical Segment+(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)). Here is an example- 835.2212 = 320+(pi*(10^2+8^2)).
How to calculate Total Surface Area of Spherical Segment given Curved Surface Area?
With Curved Surface Area of Spherical Segment (CSA), Base Radius of Spherical Segment (rBase) & Top Radius of Spherical Segment (rTop) we can find Total Surface Area of Spherical Segment given Curved Surface Area using the formula - Total Surface Area of Spherical Segment = Curved Surface Area of Spherical Segment+(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)). This formula also uses Archimedes' constant .
What are the other ways to Calculate Total Surface Area of Spherical Segment?
Here are the different ways to Calculate Total Surface Area of Spherical Segment-
  • Total Surface Area of Spherical Segment=pi*((2*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)OpenImg
  • Total Surface Area of Spherical Segment=pi*((2*(Center to Base Radius Length of Spherical Segment+Height of Spherical Segment+Top to Top Radius Length of Spherical Segment)*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)OpenImg
Can the Total Surface Area of Spherical Segment given Curved Surface Area be negative?
No, the Total Surface Area of Spherical Segment given Curved Surface Area, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Spherical Segment given Curved Surface Area?
Total Surface Area of Spherical Segment given Curved Surface Area is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Spherical Segment given Curved Surface Area can be measured.
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