kayleemartin9406 kayleemartin9406
  • 18-05-2022
  • Mathematics
contestada

A circle has radius 9.5 cm. Find the length of the arc intercepted by a central angle with measure 120°​

Respuesta :

jcherry99
jcherry99 jcherry99
  • 18-05-2022

Answer:

Step-by-step explanation:

Discussion

If the radius goes through 1 rotation. The "angle" gone through is 360 degrees. So the method is to figure out circumference of the circle, multiply this by a fraction involving 120, and you are done.

Formula

Arc Length = (120/360) * 2 * pi * r      Substitute values into this equation.

Givens

Central angle = 120

r = 9.5

Solution

Arc Length = (120/360) * 2 * 3.14 * 9.5

Arc Length = (0.333) * 2 * 3.14 * 9.5

Arc Length = 19.87 cm

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