Thank you for visiting A circle has a radius of 10 inches Find the approximate length of the arc intersected by a central angle of tex frac 2 pi. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The approximate length of the arc intersected by the central angle is [tex]20.94[/tex] inches.
To find the approximate length of the arc of a circle that corresponds to a central angle of [tex]\frac{2\pi}{3}[/tex] radians with a radius of 10 inches, we can use the arc length formula:
[tex]L = r\theta[/tex]
Where:
- [tex]L[/tex] = arc length
- [tex]r[/tex] = radius of the circle
- [tex]\theta[/tex] = central angle in radians
In this case:
- The radius [tex]r = 10[/tex] inches
- The central angle [tex]\theta = \frac{2\pi}{3}[/tex] radians
Now, substitute the values into the formula:
[tex]L = 10 \times \frac{2\pi}{3}[/tex]
Calculating this gives:
[tex]L = \frac{20\pi}{3} = \frac{20 \times 3.14159}{3} = \frac{62.8318}{3} = 20.94 \text{ inches}[/tex]
Thank you for reading the article A circle has a radius of 10 inches Find the approximate length of the arc intersected by a central angle of tex frac 2 pi. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
