**Finding the Length of Arc YX: Understanding Circular Segments****Question:**Find the LENGTH of the arc YX (keep in terms of π).**Diagram Details:**The image presents a circle with a radius of 10 units. Point Y and point X are positioned such that angle ∠YX is 70°. **Solution Approach:**1. **Identifying the Components:** - The radius of the circle (r) = 10 units - The central angle (θ) = 70°2. **Formula for Arc Length:** The formula to find the length of an arc (L) is given by: \[ L = \frac{θ}{360°} \times 2πr \] where: - \(θ\) is the central angle in degrees, - \(r\) is the radius of the circle.3. **Substitute the Values:** \[ L = \frac{70°}{360°} \times 2π \times 10 \]4. **Simplifying the Equation:** \[ L = \frac{70}{360} \times 20π \] \[ L = \frac{7}{36} \times 20π \] \[ L = \frac{140}{36}π \] \[ L = \frac{35}{9}π \]5. **Final Calculation:** \[ L ≈ 3.889π \]**Answer Choices Provided:**- 10π- 19.444π- 3.889π- 70πThe calculated arc length of YX is approximately \( 3.889π \).**Conclusion:**By applying the formula for arc length and substituting the given values, we determine that the length of arc YX is \(3.889π\).For more educational resources and learning tips, please explore our website sections on geometry and circle theorems. ---This structure is designed to help students understand and apply the concept of arc length calculation in a clear and step-by-step manner.

Name: **Finding the Length of Arc YX: Understanding Circular Segments****Qu
Uploaded: 2024-03-20T06:46:14.000Z
Channel: Bartleby
Description: **Finding the Length of Arc YX: Understanding Circular Segments****Question:**Find the LENGTH of the arc YX (keep in terms of π).**Diagram Details:**The image presents a circle with a radius of 10 units. Point Y and point X are positioned such that