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A circle has a radius of 2 meters and a central angle EOG that measures 125°. What is the length of the intercepted arc EG? Use 3.14 for pi and round your answer to the nearest tenth.
A.0.7 m
B.1.4 m
C.2.2 m
D.4.4 m

Respuesta :

BlueSky06
The circumference of the circle is calculated through the equation,
                                  C = 2πr
Substituting the known values,
                                   C = 2π(2 m) = 4π m
The measure of the arc is the circumference times the ratio of the given central angle to the total revolution,
                                   A = (4π m)(125°/360°)
The measure of the arc is 4.36 m or 4.4 m. The answer is letter D. 

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