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Math Calculators

Semicircle Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
units
Verified formula Private

Area

56.5487

Perimeter
30.8496

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Semicircle Calculator

The Semicircle Calculator works out your area, along with 1 related figure in an instant. Enter radius and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the radius.
  2. Read off your area, together with perimeter — the calculator updates automatically, with no button to press.

Formula

The Semicircle Calculator uses the formula:

Area = 3.141592653589793 × Radius ^ 2 ÷ 2

Worked example

For example, with radius of 6 units, the area is 56.5487.

Inputs used
Radius 6 units
Results
Area 56.5487
Perimeter 30.8496

Results are estimates for educational use, not professional advice.

Key terms explained

Perimeter
The total distance around the outside of a two-dimensional shape.
Radius
The distance from the centre of a circle or sphere to its edge.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

Halve the area of the full circle: A = πr² ÷ 2. A semicircle of radius 6 has an area of about 56.55 square units.

It is the half-circle arc plus the straight diameter: πr + 2r. For radius 6 that is about 30.85 units.

No. You must add the diameter, since the flat edge is part of the boundary of a semicircle.

It is twice the radius — the straight edge across the flat side of the half circle.

The Semicircle Calculator uses the formula: Area = 3.141592653589793 × Radius ^ 2 ÷ 2. For example, with radius of 6 units, the area is 56.5487.

Enter the radius. Read off your area, together with perimeter — the calculator updates automatically, with no button to press.

Semicircle Table: Area by Radius

Reference table of area for Semicircle across a range of radius values — exact, engine-computed figures you can read off at a glance.

1 min read

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