Answer :

Answer:

YPX = 15π

Step-by-step explanation:

In the given figure we have to find the measure of arc YPX in terms of π.

Since xy = rθ

             = [tex]\frac{10x\pi }{2}[/tex]

             = 5π

Since perimeter of the circle = 2πr

So length of arc YPX = 2πr = 5π

                                   = 2π (10 - 5π)

                                  = 20π - 5π

                                  = 15π

Therefore, length of arc YPX = 15π is the answer.

lhmarianateixeira

In this exercise we have to use the knowledge of circumference to calculate the value of the line, so we have:

[tex]YPX=15\pi[/tex]

In this exercise we have that the value of Y is equal to 10, so to calculate the angle of XY is:

[tex]xy = r\theta = 5\pi[/tex]

With the value of the perimeter of the circle plus the value of the angle we have:

[tex]YPX = 2\pi r = 5\pi\\ = 2\pi (10 - 5\pi)\\ = 20\pi - 5\pi \\= 15\pi[/tex]

See more about circle at brainly.com/question/11833983

Other Questions