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Total Surface Area of Spherical Sector given Spherical Cap Radius Formula

GoTotal Surface Area of Spherical Sector Formula

GoTotal Surface Area of Spherical Sector given Volume and Spherical Cap Height Formula

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Total Surface Area of Spherical Sector is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Spherical Sector. Check FAQs

TSA = \frac{π}{2} \cdot (\frac{{r Cap}^{2}}{h Cap} + h Cap) \cdot ((2 \cdot h Cap) + r Cap)

TSA - Total Surface Area of Spherical Sector?r_Cap - Spherical Cap Radius of Spherical Sector?h_Cap - Spherical Cap Height of Spherical Sector?π - Archimedes' constant?

Total Surface Area of Spherical Sector given Spherical Cap Radius Example

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Here is how the Total Surface Area of Spherical Sector given Spherical Cap Radius equation looks like with Values.

Here is how the Total Surface Area of Spherical Sector given Spherical Cap Radius equation looks like with Units.

Here is how the Total Surface Area of Spherical Sector given Spherical Cap Radius equation looks like.

502.6548 = \frac{3.1416}{2} \cdot (\frac{8^{2}}{4} + 4) \cdot ((2 \cdot 4) + 8)

502.6548m² = \frac{3.1416}{2} \cdot (\frac{{8m}^{2}}{4m} + 4m) \cdot ((2 \cdot 4m) + 8m)

502.6548 = \frac{3.1416}{2} \cdot (\frac{8^{2}}{4} + 4) \cdot ((2 \cdot 4) + 8)

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Total Surface Area of Spherical Sector given Spherical Cap Radius Solution

Follow our step by step solution on how to calculate Total Surface Area of Spherical Sector given Spherical Cap Radius?

FIRST Step Consider the formula

TSA = \frac{π}{2} \cdot (\frac{{r Cap}^{2}}{h Cap} + h Cap) \cdot ((2 \cdot h Cap) + r Cap)

Next Step Substitute values of Variables

∴

TSA = \frac{π}{2} \cdot (\frac{{8m}^{2}}{4m} + 4m) \cdot ((2 \cdot 4m) + 8m)

Next Step Substitute values of Constants

∴

TSA = \frac{3.1416}{2} \cdot (\frac{{8m}^{2}}{4m} + 4m) \cdot ((2 \cdot 4m) + 8m)

Next Step Prepare to Evaluate

∴

TSA = \frac{3.1416}{2} \cdot (\frac{8^{2}}{4} + 4) \cdot ((2 \cdot 4) + 8)

Next Step Evaluate

∴

TSA = 502.654824574367m²

LAST Step Rounding Answer

∴

TSA = 502.6548m²

Total Surface Area of Spherical Sector given Spherical Cap Radius Formula Elements

Variables

Constants

Total Surface Area of Spherical Sector

Total Surface Area of Spherical Sector is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Spherical Sector.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Spherical Sector

Spherical Cap Radius of Spherical Sector

Spherical Cap Radius of Spherical Sector is defined as the distance between centre and any point on the circumference of the circle at the bottom level of the cap surface of the Spherical Sector.

Symbol: r_Cap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spherical Cap Radius of Spherical Sector

Spherical Cap Height of Spherical Sector

Spherical Cap Height of Spherical Sector is the vertical distance from the topmost point to the bottom level of the cap surface of the Spherical Sector.

Symbol: h_Cap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spherical Cap Height of Spherical Sector

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 Sector

Go Total Surface Area of Spherical Sector

TSA = π \cdot r Sphere \cdot ((2 \cdot h Cap) + r Cap)

Go Total Surface Area of Spherical Sector given Volume and Spherical Cap Height

TSA = π \cdot \sqrt{\frac{3 \cdot V}{2 \cdot π \cdot h Cap}} \cdot ((2 \cdot h Cap) + r Cap)

Go Total Surface Area of Spherical Sector given Surface to Volume Ratio and Spherical Cap Radius

TSA = \frac{3 \cdot π \cdot {(2 \cdot h Cap + r Cap)}^{2}}{2 \cdot h Cap \cdot R A/V}

Go Total Surface Area of Spherical Sector given Volume

TSA = π \cdot r Sphere \cdot (\frac{3 \cdot V}{π \cdot {r Sphere}^{2}} + r Cap)

How to Evaluate Total Surface Area of Spherical Sector given Spherical Cap Radius?

Total Surface Area of Spherical Sector given Spherical Cap Radius evaluator uses Total Surface Area of Spherical Sector = pi/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector) to evaluate the Total Surface Area of Spherical Sector, Total Surface Area of Spherical Sector given Spherical Cap Radius formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Sector, calculated using its spherical cap radius. Total Surface Area of Spherical Sector is denoted by TSA symbol.

How to evaluate Total Surface Area of Spherical Sector given Spherical Cap Radius using this online evaluator? To use this online evaluator for Total Surface Area of Spherical Sector given Spherical Cap Radius, enter Spherical Cap Radius of Spherical Sector (r_Cap) & Spherical Cap Height of Spherical Sector (h_Cap) and hit the calculate button.

FAQs on Total Surface Area of Spherical Sector given Spherical Cap Radius

What is the formula to find Total Surface Area of Spherical Sector given Spherical Cap Radius?

The formula of Total Surface Area of Spherical Sector given Spherical Cap Radius is expressed as Total Surface Area of Spherical Sector = pi/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector). Here is an example- 502.6548 = pi/2*((8^2)/4+4)*((2*4)+8).

How to calculate Total Surface Area of Spherical Sector given Spherical Cap Radius?

With Spherical Cap Radius of Spherical Sector (r_Cap) & Spherical Cap Height of Spherical Sector (h_Cap) we can find Total Surface Area of Spherical Sector given Spherical Cap Radius using the formula - Total Surface Area of Spherical Sector = pi/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector). This formula also uses Archimedes' constant .

What are the other ways to Calculate Total Surface Area of Spherical Sector?

Here are the different ways to Calculate Total Surface Area of Spherical Sector-

Total Surface Area of Spherical Sector=pi*Spherical Radius of Spherical Sector*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)
Total Surface Area of Spherical Sector=pi*sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)
Total Surface Area of Spherical Sector=(3*pi*(2*Spherical Cap Height of Spherical Sector+Spherical Cap Radius of Spherical Sector)^2)/(2*Spherical Cap Height of Spherical Sector*Surface to Volume Ratio of Spherical Sector)

Can the Total Surface Area of Spherical Sector given Spherical Cap Radius be negative?

No, the Total Surface Area of Spherical Sector given Spherical Cap Radius, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Spherical Sector given Spherical Cap Radius?

Total Surface Area of Spherical Sector given Spherical Cap Radius 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 Sector given Spherical Cap Radius can be measured.

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Total Surface Area of Spherical Sector given Spherical Cap Radius Formula

​GoTotal Surface Area of Spherical Sector Formula

​GoTotal Surface Area of Spherical Sector given Volume and Spherical Cap Height Formula

Total Surface Area of Spherical Sector given Spherical Cap Radius Example

Total Surface Area of Spherical Sector given Spherical Cap Radius Solution

Total Surface Area of Spherical Sector given Spherical Cap Radius Formula Elements

Other Formulas to find Total Surface Area of Spherical Sector

How to Evaluate Total Surface Area of Spherical Sector given Spherical Cap Radius?

FAQs on Total Surface Area of Spherical Sector given Spherical Cap Radius

Variable Name

GoTotal Surface Area of Spherical Sector Formula

GoTotal Surface Area of Spherical Sector given Volume and Spherical Cap Height Formula