Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Use the proportional relationship between an arc length and the circumference of a circle to calculate the length of arc [tex]\( AC \)[/tex].

A. [tex]\( x = \frac{32}{3} \pi \)[/tex]

Sagot :

GinnyAnswer
To find the length of the arc [tex]\( AC \)[/tex] given [tex]\( x = \frac{32}{3} \pi \)[/tex]:

1. Understand the meaning of [tex]\( x \)[/tex]:
- [tex]\( x \)[/tex] represents a fraction of the full circumference of a circle.
- The full circumference of a circle is [tex]\( 2 \pi r \)[/tex] where [tex]\( r \)[/tex] is the radius.

2. Determine the length of the arc [tex]\( AC \)[/tex]:
- The problem essentially provides the length of the arc [tex]\( AC \)[/tex] directly via [tex]\( x \)[/tex].
- Here, [tex]\( x \)[/tex] is given as [tex]\( \frac{32}{3} \pi \)[/tex].

3. Conclude the arc length:
- The length of the arc [tex]\( AC \)[/tex] is simply [tex]\( x \)[/tex] which was computed earlier.

Thus, the length of arc [tex]\( AC \)[/tex] is [tex]\( 33.510321638291124 \)[/tex].
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.