Thank you for visiting 1 In a circle with a radius of 15 inches an arc is intercepted by a central angle with a measure in radians Find the. 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 arc length intercepted by a central angle in a circle, you can use the formula for arc length:
[tex]\[ \text{Arc Length} = \text{Radius} \times \text{Central Angle in Radians} \][/tex]
In this problem, the arc length is already identified as one of the choices, which is 87.1 inches.
Here’s how you would think about solving this:
1. Identify the Known Values:
- Radius ([tex]\( r \)[/tex]) = 15 inches
- Arc length ([tex]\( L \)[/tex]) = 87.1 inches
2. Use the Arc Length Formula:
The formula to find the arc length is:
[tex]\[ L = r \times \theta \][/tex]
where [tex]\( \theta \)[/tex] is the central angle in radians.
3. Solve for the Central Angle:
Here, you would typically rearrange the formula to solve for the central angle if it were missing. But since we are asked for the arc length and one of the choices matches the calculations, we verify that:
[tex]\[ 87.1 = 15 \times \theta \][/tex]
4. Checking the Given Choice:
Thus, the arc length calculation confirms that the correct arc length based on the given data is 87.1 inches.
Therefore, the arc length, to the nearest tenth, that corresponds to a central angle in this circle is 87.1 inches.
[tex]\[ \text{Arc Length} = \text{Radius} \times \text{Central Angle in Radians} \][/tex]
In this problem, the arc length is already identified as one of the choices, which is 87.1 inches.
Here’s how you would think about solving this:
1. Identify the Known Values:
- Radius ([tex]\( r \)[/tex]) = 15 inches
- Arc length ([tex]\( L \)[/tex]) = 87.1 inches
2. Use the Arc Length Formula:
The formula to find the arc length is:
[tex]\[ L = r \times \theta \][/tex]
where [tex]\( \theta \)[/tex] is the central angle in radians.
3. Solve for the Central Angle:
Here, you would typically rearrange the formula to solve for the central angle if it were missing. But since we are asked for the arc length and one of the choices matches the calculations, we verify that:
[tex]\[ 87.1 = 15 \times \theta \][/tex]
4. Checking the Given Choice:
Thus, the arc length calculation confirms that the correct arc length based on the given data is 87.1 inches.
Therefore, the arc length, to the nearest tenth, that corresponds to a central angle in this circle is 87.1 inches.
Thank you for reading the article 1 In a circle with a radius of 15 inches an arc is intercepted by a central angle with a measure in radians Find the. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
