00:01
So in this problem, it says identify the given arc as a major arc, minor arc, or a semicircle.
00:10
Find the measure of the arc.
00:14
So first we'll talk about what is the difference between a major arc, minor arc, and semicircle.
00:20
A major arc is an arc that has a measure that is greater than 180 degrees, and we name those major arcs using three letters.
00:30
A minor arc has a measure less than 180 degrees, and we name those using two letters.
00:38
And a semicircle has a measure of exactly 180 degrees, and we name those using three letters.
00:48
So in this figure, we have a number of central angles that are identified, and we know that the arc that subtenes the central angle is always the same.
01:02
Measure.
01:04
So for bc, arc bc, the measure, well first of all we know that it is a minor arc and the measure is the same as the angle bfc and that would be 70 degrees.
01:22
Arc dc is also a minor arc and the measure for dc is the same as the angle cfd so it's 65 degrees.
01:40
Arc ed, which is right here, is the same as the measure efd.
01:47
It is a minor arc of 45 degrees.
01:55
Arc a .e is a minor arc as well.
02:03
And it has a measure of 70 degrees.
02:09
Now, the measure of arc eab can be found by adding together 70 plus 110...