Question

A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?

Answer 1

Answer:

$2\pi$

Step-by-step explanation:

first you take 60°/360°= 1/6   then you take 1/6 and multiple it by $2\pi$ and that equals $\frac{\pi }{3}$   finally take  $\frac{\pi }{3}$  times the radius (6) and that should equal $2\pi$

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Answer 2

The measure of the arc length associated with the angle is 2π inches OR 6.28 inches

Calculating the length of an arc

From the question, we are to determine the measure of the arc length

The measure of the arc length can be calculated by using the formula,

$l = \frac{\theta}{360 ^\circ}\times 2\pi r$

Where $l$ is the length of the arc

θ is the central angle

r is the radius of the circle

From the given information,

r = 6 inches

θ = 60°

Putting the parameters into the formula, we get

$l = \frac{60 ^\circ}{360 ^\circ}\times 2 \pi \times 6$

$l = \frac{1}{6}\times 2 \pi \times 6$

$l =2\pi$ inches OR 6.28 inches

Hence, the measure of the arc length associated with the angle is 2π inches OR 6.28 inches

Learn more on Calculating the length of an arc here: https://brainly.com/question/12541510