Answer:the measure of the central angle is 229.3 degrees
Explanation:
The formula for the length of an arc is expressed as
Length of arc = #/360×2πr
Where
# represents the central angle
r represents the radius of the circle
π is a constant whose value is 3.14
From the information given,
The radius of the circle is 7 centimeters.
The length of the arc is 28 centimeters.
Therefore
28 = #/360 × 2 × 3.14 × 7
28 = #/360 × 43.96
#/360 = 28/43.96
#/360 = 0.64
# = 360×0.64 = 229.3