Question

If YV = 28 in, find the length of VYX.11711Y15Round your answer to 2 decimal spaces.in

Answer 1

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

`(282)/(360)*\pi*28=68.90559887`

The length of arc VYX = 68.9 in