the central angle of the alternate arc of a circle is 40 degree more than 3 times the central angle of the arc. Find out the central angle of each arc
Answers
Answer:
There are several different angles associated with circles. Perhaps the one that most immediately comes to mind is the central angle. It is the central angle's ability to sweep through an arc of 360 degrees that determines the number of degrees usually thought of as being contained by a circle.
Central angles are angles formed by any two radii in a circle. The vertex is the center of the circle. In Figure 1, ∠ AOB is a central angle.
Step-by-step explanation:
Figure 1 A central angle of a circle.
Arcs
An arc of a circle is a continuous portion of the circle. It consists of two endpoints and all the points on the circle between these endpoints. The symbol is used to denote an arc. This symbol is written over the endpoints that form the arc. There are three types of arcs:
Semicircle: an arc whose endpoints are the endpoints of a diameter. It is named using three points. The first and third points are the endpoints of the diameter, and the middle point is any point of the arc between the endpoints.
Minor arc: an arc that is less than a semicircle. A minor arc is named by using only the two endpoints of the arc.
Major arc: an arc that is more than a semicircle. It is named by three points. The first and third are the endpoints, and the middle point is any point on the arc between the endpoints.
In Figure 2, AC is a diameter.  is a semicircle.