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Which best describes how to find the length of an arc in a circle?
A. Divide the arc's degree measure by 360°, then multiply by the
circumference of the circle.
B. Divide the arc's degree measure by 360°, then multiply by the
diameter of the circle.
C. Multiply the arc's degree measure by 360°, then divide by the
circumference of the circle.
D. Multiply the arc's degree measure by 360°, then divide by the
diameter of the circle

Respuesta :

A. Simplify the fraction of the arcs degree over 360 then multiply by the circumference of the circle

Answer:

A. Divide the arc's degree measure by 360°, then multiply by the circumference of the circle.

Step-by-step explanation:

The first choice describes the right way to find the length of an arc in a circle.

The length of an arc is defined as

[tex]L=2\pi r (\frac{\theta}{360\°} )[/tex]

Where [tex]2\pi r[/tex] represents the circumference of the circle and [tex]\theta[/tex] represents the arc's degree measure.

So, as you can observe through this formula, we need to divide the arc's degree measure by 360°, and then multiply this result with the circumference of the circle, that's the right way based on the definition of arc length.

Therefore, the right answer is A.