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Astute
Hey there!

[tex]20*pi/360=4*pi/x solve for x x=360*4*pi/(20*pi)=72 degrees[/tex]

Your correct answer would be. . . 

[tex]\boxed{\boxed{72}}[/tex]

Hope this helps.
~Jurgen

The degree measure of the arc 4(pi) ft. long in a circle of radius 10 ft. is 72 degrees.

What is area of circle?

The area of a circle measurement of a circle which is calculated as π[tex]r^{2}[/tex].

How to find the degree measure of an arc?

The degree measure can be calculated as under:

20*π/360=4*π/x solve for xx

=360*4*π/(20*π)

=1440/20

=72 degrees.

Hence the degree measure of an arc 4 (π) having radius 10 ft. is 72°.

Learn more about area at https://brainly.com/question/25965491

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