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 theta A 6 67. 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 20.94 inches.
The given parameters:
- Radius of the circle, r = 10 inches
- Central angle, [tex]\theta = \frac{2\pi }{3} \ rad[/tex]
The approximate length of the arc intersected by the central angle is calculated as follows;
S = rθ
where;
- S is the length of the arc
Substitute the given parameters and solve for the length of the arc
[tex]S = 10 \ in \times \frac{2\pi }{3} \\\\S = 20.94 \ inches[/tex]
Thus, the approximate length of the arc intersected by the central angle is 20.94 inches.
Your question is not complete, find the complete question below:
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}{3}[/tex].
Learn more about length of arc here: https://brainly.com/question/2005046
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