Acentral angle of a circle intercepts an arc of length 28 centimeters . the radius of the circle is 7 centimeters what is the measure of the central angle in radians?

the measure of the central angle is 229.3 degrees

Step-by-step 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

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step-by-step explanation: