rajarai1230 rajarai1230
  • 10-01-2020
  • Mathematics
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If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?



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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 10-01-2020

Answer:

7π/6 inches ( = 3.67 inches)

Step-by-step explanation:

given diameter = 6 inches, radius = 6/2 = 3 inches

circumference (i.e full 360°) = 2πr = 2π (3) = 6π inches

fraction of full circle represented by 70° = (70/360)

arc length subtended by 70° = (70/360) x 6π = 7π/6 inches ( = 3.67 inches)

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