Sector by inscribed angle

[Guest]

Is the portion of the circle created by two lines whose intersection or terminus is not located at the radius and are extended to the edge of the circle, or beyond, a sector? For example, the interior portion of the circle created between AXC or DXB as shown on the attached image? Are BXC and DXA sectors as well?

[Baltuilhe]

Good morning!

The answer is: no! A sector has two radius and an arc as boundaries.

[Guest]

Then what is that figured called?

[Guest]

It is the union of two sectors. The region with "corners" at D, X, and B is one sector, the region with corners at A, X, and C is another sector. "The portion of the circle created by two lines whose intersection or terminus is not located at the radius and are extended to the edge of the circle" is the union of those two sectors.