This tool calculates the geometric properties of a 'slice' of a circle based on its radius and central angle. It provides precise calculations for area, arc length, perimeter, and chord length.
Sector Area:
-2171.45 sq. units
Arc Length:
-434.29 units
Sector Perimeter:
-414.29 units
Chord Length:
0 units
A circle sector is a specific portion of a circle that is bounded by two radii and the arc that connects them. You can visualize it as a slice of pizza or pie, where the point of the slice is the center of the circle.
Formula: Area = (θ/360) × π × r² (when the central angle θ is measured in degrees).
Consider a circle with a Radius of 10cm and a central Angle of 90 degrees.
Calculating sector properties is essential for various practical applications, ranging from determining the size of pizza slices to designing structural architectural arches.
A sector is the region bounded by two radii and an arc (like a slice), while a segment is the region bounded by a chord and an arc, not necessarily involving the center of the circle.
To convert from degrees to radians, multiply the degree value by π/180. Radians are often used in advanced geometry calculations for simpler mathematical expressions.
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