Question

In the supermarket, there is a scale that measures the weight of fruit and vegetables. The needle is 24 cm long and it rotated 96° when Charlie placed four tomatoes on it. How far did the needle travel as it rotated? @M4thM1nd

Answer 1

@M4thM1nd Please just leave answer I got to go dinner time and relaxation got to go

Answer 2

When we work with angles in radians we have this relationship:
l = r*theta,
where l is the arc length,
r is the radius and
theta is the angle in radians

From this question we have r = 24 cm = 0.24 m
theta = 96º = (96º * 2*pi)/(360º) = 8*pi/15
So...
the traveled by the end point of the needle is:
l = r*theta
l = (0.24 m)*(8*pi/15)
l = 0.402124 m
l = 40.2124 cm

Answer 3

Or l = 64*pi/5 cm