Answer:
\(21.82\ ft\)
Step-by-step explanation:
we know that
The circumference of a complete circle is equal to
\(C=2\pi r\)
In this problem we have
\(r=10\ ft\)
substitute
\(C=2\pi (10)=20 \pi\ ft\)
Remember that
An angle of \(360\°\) subtends the arc length of a complete circle
so
by proportion
Find the arc length for an angle of \(125\°\)
\(\frac{20 \pi}{360}\frac{feet}{degrees}=\frac{x}{125}\frac{feet}{degrees}\\ \\x=125*(20\pi )/360\\ \\x=21.82\ ft\)
