Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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].
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.