Answer:
Length of an arc is given by:
[tex]l = r \theta[/tex] ......[1]
where,
r is the radius of the circle
[tex]\theta[/tex] is the angle in radian.
As per the statement:
A circle has a radius of 9 cm.
⇒r =9 cm
It is also given that: intercepted arc length is 7.2 cm
Substitute the given values in [1] we have;
[tex]7.2 = 9 \cdot \theta[/tex]
Divide both sides by 9 we get;
[tex]0.8 = \theta[/tex]
Therefore, the measure in radians for the central angle is, 0.8
