Cap Surface Area Calculator
Use the calculators below to calculate the surface area of several common shapes.
Cap Surface Area
Please provide any two values below to calculate.
Cap Surface Area Calculator
The Cap Surface Area Calculator is a powerful tool designed to compute the surface area of a spherical cap—a portion of a sphere cut off by a plane. This calculator is useful for students, engineers, architects, and anyone working with spherical geometry in mathematics, physics, or 3D modeling.
Key Features:
✔ Flexible Inputs – Calculate using any two known values:
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Base Radius (r) – The radius of the circular base of the cap.
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Ball Radius (R) – The radius of the full sphere.
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Height (h) – The perpendicular distance from the base to the top of the cap.
✔ Multiple Unit Support – Choose from various units (meters, feet, inches, kilometres, etc.) for accurate measurements.
✔ Instant Results – After clicking the Calculate button, the tool provides:
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Base Surface Area (πr²) – The area of the flat circular base.
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Cap Surface Area (2πRh) – The curved surface area of the spherical cap.
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Total Surface Area – The sum of the base and cap surface areas.
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Hemisphere Detection – Automatically identifies if the cap is a hemisphere (when h = R).
✔ User-Friendly Interface – Clean design with a gradient white and purple background, making calculations intuitive and visually appealing.
Applications:
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Geometry & Mathematics – Solve problems involving spherical segments.
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Engineering & Architecture – Design domes, tanks, or curved structures.
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Physics & Astronomy – Calculate surface areas in planetary or lens modeling.
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3D Modelling & Graphics – Determine surface properties in computer-generated designs.
How to Use:
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Enter any two values (Base Radius, Ball Radius, or Height).
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Select the appropriate unit of measurement.
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Click “Calculate” to view detailed results.
This calculator simplifies complex spherical geometry calculations, providing quick and accurate results for professionals and learners alike. 🚀