Answer:
The angle is 8.19 degrees.
Step-by-step explanation:
The Arc length is the measure of the distance along the curved line making up the arc.
The formula the arc measure is
[tex]AL=2\pi r(\frac{C}{360} )[/tex]
where:
C = is the central angle of the arc in degrees
r = is the radius.
π = is Pi
From the information given we know the radius r = 7 feet and the arc of length equal to 1 feet.
So, from the above formula we solve for C.
[tex]1=2\pi (7)(\frac{C}{360} )\\\\2\pi \left(7\right)\left(\frac{C}{360}\right)=1\\\\\frac{2\pi 7\cdot \frac{C}{360}}{14\pi }=\frac{1}{14\pi }\\\\\frac{C}{360}=\frac{1}{14\pi }\\\\C=\frac{180}{7\pi }\approx 8.19[/tex]
