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Circle O shown below has a radius of 12 centimeters. To the nearest tenth of a centimeter, determine the length of the arc, x, subtended by an angle of 83°50'

Circle O shown below has a radius of 12 centimeters. To the nearest tenth of a centimeter, determine the length of the arc, x, subtended by an angle of 83°50'alt text


One Answer:
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the radius r=12

the circumference is 2 * PI * r

since there are 360 degrees, the arc x is (83+50/60)/360 times the circumference

x= ((83+50/60)/360)(2 PI * r)

x=((83+50/60)/360)*(2 * PI * 12)

x=17.6cm

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