Respuesta :
Answer:
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Step-by-step explanation:
Answer:
30 degrees
Step-by-step explanation:
Total circumference of circle B = 72 mm
The circumference of 72 mm corresponds to a total subtended angle of 360 degrees.
Length of the minor arc CA = 6mm
Let the angle subtended by CA at the center of the circle = x degrees.
Then [tex]\[\frac{6}{x} = \frac{72}{360}\][/tex]
[tex]\[=> \frac{6}{x} = \frac{1}{5}\][/tex]
[tex]\[=> x = 6*5\][/tex]
[tex]\[=> x = 30\][/tex]
Hence the angle subtended by the arc CA at the center is 30 degrees.