Thank you for visiting Type the correct answer in the box Use numerals instead of words Arc BC on circle A has a length of tex frac 115 6. 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 :
Final answer:
The radius of the circle can be calculated using the formula for the length of an arc and solving for the radius. The radius of the given circle is 25 inches.
Explanation:
The radius of the circle can be found by using the formula for the length of an arc. In mathematics, the length of an arc is given by the formula:
Arc length = Radius × Central angle (in radians)
Given that the arc length = 115/6π and the central angle measures 138 degrees, we can convert the central angle to radians since the angle in the formula should be in radians (1 radian = 180/π degrees). Hence, 138 degrees = 138 × π/180 = 2.4π.
Afterwards, replace the known values into the formula:
115/6π = Radius × 2.4π
We can solve for the radius by dividing both sides of the equation by 2.4π. The π in the numerator and denominator will cancel out on the right side of the equation. Hence, the radius of the circle is 115/2.4 × 6 = 25 inches.
Learn more about Circle Radius here:
https://brainly.com/question/32473770
#SPJ1
Thank you for reading the article Type the correct answer in the box Use numerals instead of words Arc BC on circle A has a length of tex frac 115 6. 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
