A circle has a radius of 6. An arc in this circle has a central angle of 48°
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
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Answer:

Step-by-step explanation: okay so given the radius, u find the circumference of the circle (2*pi*radius). Divide 48 by 360 and then multiply that result by the circumference because your finding the length of only a portion of the circle.

The length of the arc is 5.024

How to determine the length of the arc?

The given parameters are:

  • Angle, x = 48
  • Radius, r = 6

The length of the arc is calculated as:

[tex]L = \frac{x}{360} * 2\pi r[/tex]

This gives

[tex]L = \frac{48}{360} * 2 * 3.14 * 6[/tex]

Evaluate

L = 5.024

Hence, the length of the arc is 5.024

Read more about arc lengths at:

https://brainly.com/question/2005046

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