Semicircle Area Calculator

Your details

Choose which measurement you already know and the calculator will derive everything else.
The distance from the centre of the full circle to its edge.
cm
Area
39.2699

Surface enclosed by the semicircle

Perimeter25.708
Arc length15.708
Radius5
Diameter10
Area unitcm²
Length unitcm

Semicircle with radius 5.0000 cm: area is 39.2699 cm².

  • The area is 39.2699 cm², which is exactly half the area of a full circle with the same radius.
  • The arc length (15.7080 cm) is half the full circle circumference. The perimeter (25.7080 cm) adds the straight diameter edge (10.0000 cm) on top.
  • A common mistake is treating the perimeter as just the arc. The full boundary also includes the straight diameter edge, making the perimeter equal to r × (π + 2) ≈ 25.7080 cm.

Next stepTo scale this semicircle up, multiply the radius by your scale factor and the area will scale by its square.

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