Calculadora de Área do Setor Circular

The Circular Sector Area Calculator determines the area of a slice of a circle, known as a circular sector. You need to provide the radius of the circle and the central angle of the sector in degrees. The tool automatically calculates the area using the proportion of the angle relative to the full circle.

The calculation is based on the formula A = (θ/360) × π × r², where θ is the central angle in degrees and r is the radius. First, divide the angle by 360 to get the fraction of the circle that the sector represents. Then multiply that fraction by the total area of the circle (π × r²) to obtain the sector area.

You can use this calculator in practical situations such as planning a pizza (finding the area of a slice), calculating the area of a circular piece of fabric cut at an angle, or sizing components in engineering projects involving circular sectors. It is useful whenever you need the area of an angular portion of a circle.

Cautions: ensure the angle is in degrees, not radians. The radius must be positive. Remember that the maximum angle is 360 degrees (full circle). For very small angles, the area will be proportionally small. Verify that the input units are consistent (e.g., radius in centimeters yields area in square centimeters).