Question

For a circle with a diameter of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a length of

5/2π meters?

Answer 1

we know that
[the length of a circumference]=2*pi*r
diameter=6 m
radius r=6/2------> r=3 m
[the length of a circumference]=2*pi*3-------> 6pi m

if 360° (full circle) has a length of--------------> 6pi m
X----------------------------------------------> 2.5pi m
X=2.5pi*360/6pi---------> x=150°

the answer is
150°