### Arc Length Calculation#### Problem Statement:Find the length of the arc on a circle of radius \( r \) intercepted by a central angle \( \theta \). Round to two decimal places. Use \( \pi = 3.141593 \).#### Given:- Radius (\( r \)): 3 yards- Central angle (\( \theta \)): 65 degrees### Possible AnswersA. 3.06 yards\B. 3.74 yards\C. 3.40 yards\D. 2.72 yards### Solution:To find the arc length (\( L \)), use the formula:\[ L = r \cdot \theta \cdot \left(\frac{\pi}{180}\right) \]Where:- \( r \) is the radius of the circle.- \( \theta \) is the central angle in degrees.- \( \pi \) is a constant (approximately 3.141593).### Detailed Calculation:1. Convert the central angle from degrees to radians: \[ \theta = 65^\circ \] \[ \theta \text{ (in radians)} = 65 \times \left(\frac{\pi}{180}\right) \]2. Substitute the values: \[ L = 3 \cdot 65 \cdot \left(\frac{3.141593}{180}\right) \]3. Simplify the expression: \[ L = 3 \cdot 65 \cdot 0.01745329252 \] \[ L = 3 \cdot 1.134115014 \] \[ L \approx 3.402345042 \]4. Round to two decimal places: \[ L \approx 3.40 \text{ yards} \]### Answer:C. 3.40 yards### Interactive Component:Click to select your answer:- \( \circ \ \) **A. 3.06 yards**- \( \circ \ \) **B. 3.74 yards**- \( \circ \ \) **C. 3.40 yards**- \( \circ \ \) **D. 2.72 yards**### Explanation:This solution demonstrates the process of calculating the length of an arc intercepted by a central angle in a circle, using the given radius and angle measurement in

Name: ### Arc Length Calculation#### Problem Statement:Find the length of t
Uploaded: 2024-03-20T06:46:14.000Z
Channel: Bartleby
Description: ### Arc Length Calculation#### Problem Statement:Find the length of the arc on a circle of radius \( r \) intercepted by a central angle \( \theta \). Round to two decimal places. Use \( \pi = 3.141593 \).#### Given:- Radius (\( r \)): 3 yards- Cent