Respuesta :

The measure of the minor arc is less than 180 degrees

The measure of the major arc is greater than 180 degrees

So Arc BA is a minor arc

[tex](BA)=44[/tex]

The measure of the circle is 360 degree, then

[tex]m(\text{ACB)}=360-44=316[/tex]

BD is the diameter of the circle, then it divides the circle into two equal parts

[tex]m(\text{BCD)}=\frac{360}{2}=180[/tex]

The length of the arc DE can be found using this rule

[tex]\begin{gathered} \text{Arc(DE)}=\frac{120}{360}\times2\times\pi\times r \\ \text{Arc(DE)}=\frac{1}{3}\times2\times\pi\times2=\frac{4}{3}\pi=4.18879 \end{gathered}[/tex]

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