Thank you for visiting A circle has a radius of 10 inches Find the approximate length of the arc that subtends an angle of tex frac 2 pi 3. 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 :
We are given a circle with a radius of [tex]$10$[/tex] inches and a central angle of [tex]$\frac{2\pi}{3}$[/tex] radians. To find the length of the arc, we use the arc length formula
[tex]$$
\text{Arc Length} = r \times \theta,
$$[/tex]
where [tex]$r$[/tex] is the radius and [tex]$\theta$[/tex] is the angle in radians.
Substitute the given values into the formula:
[tex]$$
\text{Arc Length} = 10 \times \frac{2\pi}{3} = \frac{20\pi}{3}.
$$[/tex]
Now, approximate the value:
[tex]$$
\frac{20\pi}{3} \approx 20.94 \text{ inches}.
$$[/tex]
Thus, the approximate length of the arc is [tex]$20.94$[/tex] inches.
[tex]$$
\text{Arc Length} = r \times \theta,
$$[/tex]
where [tex]$r$[/tex] is the radius and [tex]$\theta$[/tex] is the angle in radians.
Substitute the given values into the formula:
[tex]$$
\text{Arc Length} = 10 \times \frac{2\pi}{3} = \frac{20\pi}{3}.
$$[/tex]
Now, approximate the value:
[tex]$$
\frac{20\pi}{3} \approx 20.94 \text{ inches}.
$$[/tex]
Thus, the approximate length of the arc is [tex]$20.94$[/tex] inches.
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Rewritten by : Jeany
