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 :
Given a circle with radius [tex]$r = 10$[/tex] inches and a central angle [tex]$\theta = \frac{2\pi}{3}$[/tex] radians, we can find the arc length [tex]$s$[/tex] using the formula:
[tex]$$
s = r \theta.
$$[/tex]
Substitute the given values into the formula:
[tex]$$
s = 10 \times \frac{2\pi}{3} = \frac{20\pi}{3}.
$$[/tex]
To obtain an approximate numerical value, evaluate [tex]$\frac{20\pi}{3}$[/tex]:
[tex]$$
s \approx 20.94 \text{ inches}.
$$[/tex]
Thus, the length of the arc is approximately [tex]$20.94$[/tex] inches.
[tex]$$
s = r \theta.
$$[/tex]
Substitute the given values into the formula:
[tex]$$
s = 10 \times \frac{2\pi}{3} = \frac{20\pi}{3}.
$$[/tex]
To obtain an approximate numerical value, evaluate [tex]$\frac{20\pi}{3}$[/tex]:
[tex]$$
s \approx 20.94 \text{ inches}.
$$[/tex]
Thus, the length of the arc is approximately [tex]$20.94$[/tex] inches.
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Rewritten by : Jeany
