AriqRidwan9622 AriqRidwan9622
  • 20-12-2017
  • Mathematics
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A circle has an arc of length 32π that is intercepted by a central angle of 240°. what is the radius of the circle

Respuesta :

calculista
calculista calculista
  • 23-01-2019

Answer:

[tex]r=24\ units[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

The circumference of a circle subtends for an angle of [tex]360[/tex] degrees

so

by proportion

Find the radius of the circle

[tex]\frac{2\pi r}{360}=\frac{32\pi}{240}\\ \\ r=(360*32)/(2*240)\\ \\r=24\ units[/tex]

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