Answer:
[tex]38.2\°[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=15\ m[/tex]
substitute
[tex]C=2\pi (15)=30\pi\ m[/tex]
Remember that
[tex]360[/tex] degrees subtends the complete circle of length [tex]30\pi\ m[/tex]
so
by proportion
Find the approximate measure, in degrees, of the central angle of the circle whose radius is 15 m and arc length is 10 m
so
[tex]\frac{360}{30\pi}=\frac{x}{10}\\ \\x=360*10/(30\pi)\\ \\x=38.2\°[/tex]
