Question

find the measure of the arc AE. AC and BD are diameters of circle F. identify the given arv as a major, minor, or semi circle. then find the measure of the arc AE.

Answer 1

Solution

We can do the following

m arc DF = m < DEF = 50º

Similarly:

< BFA is a central angle then :

m arc BA = m < BFA = 70º

We also know that Ac is a diameter then arc BC is a semicircle then:

m arc BC = 180 -70 = 110º

m arc CD = 70º

Then :

m arc AE = 180 -50-70 = 60º

And the final answer is:

m arc AC = 180º (semicircle)

m arc AE = 60º (minor)

m arc BD = 110 + 70 = 180º (semicircle)