Final answer:
To find the arc length along a circle with a radius of 11 units and an angle of 255°, convert the angle to radians and use the formula As = rθ to calculate the arc length, which is approximately 44π/3 units.
Step-by-step explanation:
The question is asking to find the arc length along a circle with a radius of 11 units that is subtended by an angle of 255°. The formula for the arc length (As) is As = rθ, where θ is the angle in radians and r is the radius. Since there are 2π radians in a complete circle (360°), we need to convert 255° into radians by using the conversion factor that π radians equal 180°. Therefore, 255° is equivalent to 255° × (π/180°) radians. Once we have the angle in radians, we multiply it by the radius to get the arc length.
Calculating the angle in radians: 255° × (π/180°) = (255/180)π = 1.41667π radians.
Now, we can calculate the arc length: As = rθ = 11 units × 1.41667π = 44π/3 units, approximately.