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  • 07-11-2018
  • Mathematics
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he circle with center O has a circumference of 8π inches. The central angle is 60°. What is the length of the minor arc BSA?

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JannetPalos
JannetPalos JannetPalos
  • 17-11-2018

Circumference of the circle is 2πr.

It is given that the circumference is 8π.

Therefore, 2πr = 8π

Central angle = 60°

Length of the arc = [tex]\frac{\alpha }{360}(2\pi r)[/tex]

[tex]=\frac{60}{360} (2\pi r)[/tex]

[tex]=\frac{1}{6} (8\pi )[/tex]

[tex]=\frac{4}{3}\pi[/tex]

Hence, the length of the minor arc BSA is [tex]\frac{4}{3} \pi[/tex].

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shinavvare shinavvare
  • 06-04-2020

Answer:

4π/3 inches

Step-by-step explanation:

Arc length= central angle/ 360° × circumference

Arc length= 69°/360°×8π

Arc length= 480°π/369°

Arc length= 4π/3

Answer Link

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