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Semicircle Calculator

Instantly compute the area, arc length, and perimeter of a semicircle online.

Semicircle Dimensions

Unit
Unit

Result Summary

Perimeter (P) • Arc Length

Arc: -- | P: --

Area (A)

0.00

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Mathematical Steps:

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Important Note: These results serve as an educational reference guide without absolute guarantees.

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How to calculate a semicircle

1

Step 01

Enter Radius

Input the radius (r) or optionally the diameter (d) of the semicircle.

2

Step 02

Review Results

Instantly get the area, arc length, and total perimeter.

3

Step 03

Check Math Steps

Expand the details to review the mathematical formula breakdown.

Formula Overview

Table showing formulas for a semicircle
PropertyFormulaDescription
Area (A)A = (π · r²) / 2Half of the full circle's area.
Arc Length (b)b = π · rLength of the curved edge.
Perimeter (P)P = π · r + dArc length plus straight diameter.

Tips for Accurate Calculations

1. Radius vs. Diameter

Double-check whether your blueprint specifies the radius (center to edge) or the full diameter.

2. Include the Baseline

Remember that the total perimeter includes the straight flat edge in addition to the curved arc.

3. Consistent Units

Ensure all dimensional inputs use the exact same unit of measurement (e.g., inches or meters).

4. Mathematical Pi

The calculator uses standard high-precision floating-point Pi calculations internally.

5. Practical Uses

Ideal for garden layouts, archways, tabletops, and material carpet cuts.

6. Quick Verification

Use our online tool as a fast cross-check for homework or design drafts.

Legal Disclaimer: Calculators serve as educational reference guides.

Frequently Asked Questions

How do you calculate the area of a semicircle?

The area is half of a full circle: A = (π · r²) / 2.

How do you calculate the perimeter of a semicircle?

The perimeter is the curved arc length plus the straight diameter: P = π · r + d.

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