Video Transcript
Find the measure of the minor arc
from 𝐴 to 𝐷.
In this question, we’re asked to
determine the measure of the minor arc from 𝐴 to 𝐷. Let’s start by sketching this arc
onto our diagram. Remember, the minor arc from 𝐴 to
𝐷 is the shorter section of the circle between 𝐴 and 𝐷. And we were asked to find the
measure of this arc. And we recall the measure of an arc
is equal to the measure of its central angle. And the central angle of an arc is
the angle at the center of a circle which is subtended by the arc. In this case, the central angle of
the minor arc from 𝐴 to 𝐷 is the angle 𝐷𝑀𝐴. And we’re told that the measure of
this angle is 33 degrees. And the measure of the minor arc
from 𝐴 to 𝐷 must be equal to this value. Therefore, the measure of the minor
arc from 𝐴 to 𝐷 is 33 degrees.
