Previous Next

Problem : What two geometric figures form the boundary of a sector? A circle segment?

A central angle and an arc form the boundary of a sector. A circle segment is bounded by a chord and an arc.

Problem : If a central angle is 45 degrees, what is the measure of the major arc whose endpoints are at the intersection of the central angle and the circle?

315 degrees

Problem : When does a circle segment lie entirely within a sector?

When the arc defined by the central angle of the sector contains the arc defined by the chord that bounds the segment of the circle.

Problem : If two different diameters are drawn into a circle, how many sectors are defined?

Four sectors are defined--the diameters intersection at the center creates four central angles, which define four different sectors.

Problem : If the chord AB is perpendicular to the diameter PQ, and Q lies on the minor arc whose endpoints are A and B, what is the relationship between arc AQ and arc BQ?

They are equal, because the diameter is the perpendicular bisector of the chord AB.
Previous section Next section

Take a Study Break