When two straight lines cross a circle, the part of the circle between the intersection points is called the intercepted arc. The lines intercept, or 'cut off', the arc.

Usually the two lines are the arms of an angle, as in the figure above, but this is not always the case. For example, in the figure at right, two secant lines cut off, or intercept, two arcs, AB and CD.

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Other circle topics

General

• Circle definition
• Parts of a circle (diagram)
• Semicircle definition
• Tangent
• Secant
• Chord
• Intersecting chords theorem
• Intersecting secant lengths theorem
• Intersecting secant angles theorem
• Radius of a circle
• Diameter of a circle
• Area of a circle
• Concentric circles
• Annulus
• Area of an annulus
• Sector of a circle
• Area of a circle sector
• Segment of a circle
• Area of a circle segment (given central angle)
• Area of a circle segment (given segment height)

Equations of a circle

• Basic Equation of a Circle (Center at origin)
• General Equation of a Circle (Center anywhere)
• Parametric Equation of a Circle

Angles in a circle

• Inscribed angle
• Central angle
• Central angle theorem

Arcs

• Arc
• Arc length
• Arc angle measure
• Adjacent arcs
• Major/minor arcs
• Intercepted Arc
• Sector of a circle
• Radius of an arc or segment, given height/width
• Sagitta - height of an arc or segment