High School

Thank you for visiting A circle has a radius of 13 centimeters Suppose an arc on the circle has a length of tex 6 pi tex centimeters What is. 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!

A circle has a radius of 13 centimeters. Suppose an arc on the circle has a length of [tex]6\pi[/tex] centimeters. What is the measure of the central angle whose radii define the arc?

Answer :

Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

To know more about central angle,

https://brainly.com/question/19784457

#SPJ11

Thank you for reading the article A circle has a radius of 13 centimeters Suppose an arc on the circle has a length of tex 6 pi tex centimeters What is. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany

Other Questions