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Frustum Lateral Area Calculator

r
R
h

Result

Lateral Surface Area241.5760
Total Surface Area382.9477
Top Base Area28.2743
Bottom Base Area113.0973
Slant Height8.5440
↗ Math

Frustum Lateral Area Calculator Calculate lateral surface area of a frustum (truncated cone). Enter top radius, bottom radius, and height to compute the curved (lateral) surface area, plus both circular base areas. — free online calculator.

Formula

Slant=√(h²+(R−r)²); lateral=π(R+r)slant; total=lateral+π(R²+r²)
  • Frustum lateral area calculator. Apply the geometric relationship below and use the worked example to verify the setup.
  • The main inputs are Top Radius, Bottom Radius, Height. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Frustum Lateral Area

Inputs
  • Top Radius: 3
  • Bottom Radius: 6
  • Height: 8

For R=4, r=2, h=3: s≈3.606 and L≈67.97.

Sample result: Calculating…

Frequently asked questions

What does the Frustum Lateral Area calculate?

This is the curved lateral area of a right circular conical frustum.

Which values should I enter?

Enter Top Radius, Bottom Radius, Height using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Slant=√(h²+(R−r)²); lateral=π(R+r)slant; total=lateral+π(R²+r²).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 10, 2026