Thank you for visiting A circle has a radius of 10 inches Find the approximate length of the arc intersected by 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 :
To find the approximate length of the arc intersected by an angle of [tex]\(\frac{2\pi}{3}\)[/tex] radians in a circle with a radius of 10 inches, you can use the formula for arc length:
[tex]\[ \text{Arc Length} = \text{Radius} \times \text{Angle in Radians} \][/tex]
Given:
- Radius = 10 inches
- Angle in radians = [tex]\(\frac{2\pi}{3}\)[/tex]
Now, substitute the values into the formula:
[tex]\[ \text{Arc Length} = 10 \times \frac{2\pi}{3} \][/tex]
When you calculate this, you get approximately 20.94 inches.
Therefore, the arc length is approximately 20.94 inches. The correct choice from the options given is 20.94 inches.
[tex]\[ \text{Arc Length} = \text{Radius} \times \text{Angle in Radians} \][/tex]
Given:
- Radius = 10 inches
- Angle in radians = [tex]\(\frac{2\pi}{3}\)[/tex]
Now, substitute the values into the formula:
[tex]\[ \text{Arc Length} = 10 \times \frac{2\pi}{3} \][/tex]
When you calculate this, you get approximately 20.94 inches.
Therefore, the arc length is approximately 20.94 inches. The correct choice from the options given is 20.94 inches.
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