At first, we have to find the measure of the arc VYXSince UW and VY are diameters, then the measure of the arc VW = the measure of the arc UY
Since the measure of arc UV = 117 and the measure of arc UVW = 180 degrees (semi-circle), then
The measure of arc VW = 180 - 117 = 63 degrees
Then the measure of arc VYX = 360 - (63 + 15) = 282 degrees
The length of it is
[tex]\frac{282}{360}\times\pi\times28=68.90559887[/tex]
The length of arc VYX = 68.9 in
