iridine3577 iridine3577
  • 10-01-2019
  • Mathematics
contestada

A circle has an arc of length 56? that is intercepted by a central angle of 120. What is the radius of the circle?

Respuesta :

sarkhan2018
sarkhan2018 sarkhan2018
  • 10-01-2019

Answer:

r = 84

Step-by-step explanation:

In order to solve this question, we need the formula for the arc length.

The correct formula is:

[tex]\frac{central-angle}{360} * 2\pi r[/tex]

Plugging the numbers into this formula, we find that:

[tex]\frac{120}{360}*2\pi r=56\pi[/tex]

[tex]r=84[/tex]    

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