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Gnoma [55]
3 years ago
11

Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3 inches.

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
4 0

\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ \hrulefill\\ r=3\\ \theta =\frac{7\pi }{3} \end{cases}\implies s=3\cdot \cfrac{7\pi }{3}\implies s=7\pi

jenyasd209 [6]3 years ago
4 0

Answer:

D. 7pi inches

Step-by-step explanation:

The value of the arc length is calculated by the following formula,

s = rt

<u>Where:</u>

  1. s is the arc length
  2. r is the radius of the circle
  3. t is the central angle in radians

Since we were given both the central angle and the radius we can just plug it into the formula and solve for the arc length.

s = \frac{7\pi }{3} *3

s = 7\pi

Now we can see that the arc length has a value of 7\pi , making the answer of this question <u>D. 7pi inches</u>

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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