The measure of the central angle is 4 radians
Solution:
Given that central angle of a circle intercepts an arc of length 28 centimeters
The radius of the circle is 7 centimeters
To find: measure of the central angle in radians
The arc length of circle when [tex]\theta[/tex] is measured in radians is given as:
[tex]s = r \theta[/tex]
Where "s" is the arc length
"r" is the radius of circle
[tex]\theta[/tex] is the central angle in radians
Substituting the values in formula,
[tex]28 = 7 \times \theta\\\\\theta = \frac{28}{7} = 4[/tex]
Thus the measure of the central angle is 4 radians
