Sector Area Calculator
This calculator helps you find the area of a circular sector. Just input the circle's radius and the central angle, and choose whether your angle is in degrees or radians. It's a handy tool for geometry problems, design projects, or quick checks.
The distance from the center of the circle to its edge.
The angle formed by the two radii at the center of the circle.
Choose whether your angle is in degrees or radians.
This calculator helps you find the area of a circular sector. Just input the circle's radius and the central angle, and choose whether your angle is in degrees or radians. It's a handy tool for geometry problems, design projects, or quick checks.
Area = (θ / 360°) × π × r² (for degrees) Area = (1/2) × r² × θ (for radians)
Imagine you have a circle with a radius of 10 units. If a sector of this circle has a central angle of 90 degrees, you'd input '10' for the radius, '90' for the angle, and select 'degrees'. The calculator would then show the area of that quarter-circle sector.
A circular sector is a portion of a circle enclosed by two radii and the arc connecting their endpoints. Think of it like a slice of pizza or a piece of pie.
The area of a sector can be calculated using the formula: Area = (θ / 360°) × π × r² if the angle (θ) is in degrees, or Area = (1/2) × r² × θ if the angle (θ) is in radians. Here, 'r' is the radius of the circle.
Yes, the calculator will apply the formula directly. However, for a single sector, angles are typically considered within 0 to 360 degrees (or 0 to 2π radians). Larger angles would represent multiple full rotations plus a sector.
The calculator works with any consistent unit for the radius (e.g., cm, inches, meters). The resulting area will be in the square of that unit (e.g., cm², in², m²).
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