Final answer:
To find the arc length, convert the angle to radians and multiply the radius by this angle in radians. For a 60° angle and radius of 18 cm, the arc length is 6π cm.
Step-by-step explanation:
The student has asked to find the length of an arc in a circle, where the radius (r) is 18 cm and the angle (θ) is 60°. The length of an arc can be calculated using the formula for the circumference of a complete circle and then adjusting it for the part of the circle that the arc constitutes by considering the angle of rotation. Since the angle needs to be in radians for the formula to work, we first convert 60° to radians. We know there are π radians in 180°, so 60° is equivalent to π/3 radians. Then, the length of the arc (s) is given by the formula s = rθ.
So the calculation would be s = 18 cm × (π/3), which simplifies to s = 6π cm. This gives us the final arc length for a 60° section of a circle with a radius of 18 cm.