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The calculator will calculate the radius, arc length, area of the sector, perimeter, and diameter of a semicircle. Simply enter the required parameters (such as radius or diameter), and it will provide step-by-step calculations for each of the geometric properties.
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The Semicircle Area Calculator is an online tool developed to calculate the area, perimeter, diameter, radius, and arc length of a semicircle instantly. Whether you are solving geometry problems or working on practical measurements, this calculator provides fast and accurate results without complicated manual calculations.
In geometry:
A semicircle is half of a complete circle formed by dividing a circle along its diameter.
The straight boundary of a semicircle is its diameter, while the curved boundary is half of the circle’s circumference.
To construct a semicircle, draw a circle and then divide it into two equal parts using its diameter (a straight line passing through the center). Each half formed is called a semicircle.
Area = (1/2) × π × r²
Where:
The perimeter includes the curved part (half circumference) plus the diameter.
Perimeter = π × r + 2 × r
OR
Perimeter = r (π + 2)
Diameter = 2 × r
Radius = Diameter / 2
The curved portion of a semicircle is half of the circle’s circumference:
Arc Length = π × r
Given: Radius = 23 units
Area = (1/2) × π × r²
Area = (1/2) × 3.1416 × 23²
Area = (1/2) × 3.1416 × 529
Area = 830.95 square units (approx.)
Given: Radius = 2 units
Perimeter = r (π + 2)
Perimeter = 2 (3.1416 + 2)
Perimeter = 2 (5.1416)
Perimeter = 10.28 units (approx.)
If you want instant and error-free results, simply enter the radius or diameter into the semicircle calculator and get all related measurements immediately.
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