What is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7.2 cm?
? radians

Circle is the locus of a point such that its distance from a fixed point is always constant.

The arc length is given by:

Arc length = Ф * r

where Ф is the central angle in radians and r is the radius of the circle.

Given that r = 9 cm, Arch length= 7.2 cm, hence:

7.2 = Ф * 9

Ф = 0.8 radian

The measure in radians for the central angle is 0.8 radian

Find out more on arc length at: link

so, converting firstly the mixed fractions to improper fractions and then "adding".