Arc of Circle

Arc of a Circle

Minor & Major arcs

As the picture below shows, an arc is a part or a portion of a circle.

Intercepted Arc

An intercepted arc is the arc that is formed when segments intersect portions of a circle and create arcs.These segments in effect 'intercept' parts of the circle. The picture below shows examples of intercepted arcs.

Note: The examples below use chords to create the intercepted arc. However, tangents, secants can also create intercepted arcs.

picture of inercepted arcs

Arcs are grouped into two descriptive categories:

  1. minor arc
  2. major arc

In the circle on the left, there is both a major arc and a minor arc. Look at the circle and try to figure out how you would divide it into a portion that is 'major' and a portion that is 'minor'.

Identify the major and minor arcs in the circle below.

  1. minor arc
  2. major arc

In the circle on the left, there is both a major arc and a minor arc. Look at the circle and try to figure out how you would divide it into a portion that is 'major' and a portion that is 'minor'.

  Answer  

The measure of an arc = the measure of its central angle.

Therefore the measure of =85

The measure of =360° −85°=275°

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