Which option represents the complete proper procedure for determining the radius of a curve?

Which option represents the complete proper procedure for determining the radius of a curve?

• A. Measure the chord
• B. Find the midpoint and measure the middle ordinate
• C. Use the radius formula
• D. All of the above

Answer: (D)

Determining the radius of a curve can be done by gathering all the necessary measurements and then applying a formula. Start by measuring the chord length between the curve’s endpoints. Then find the chord’s midpoint and measure the middle ordinate (the sagitta, the distance from the chord midpoint to the arc). With the chord length and sagitta, you can compute the radius using the formula R = (L^2)/(8s) + s/2, and you can also cross-check with the direct geometry. Because using all these steps together provides the most complete and reliable way to determine the radius, the option that includes measuring the chord, finding the midpoint and middle ordinate, and applying the radius formula is the best choice.

Determining the radius of a curve can be done by gathering all the necessary measurements and then applying a formula. Start by measuring the chord length between the curve’s endpoints. Then find the chord’s midpoint and measure the middle ordinate (the sagitta, the distance from the chord midpoint to the arc). With the chord length and sagitta, you can compute the radius using the formula R = (L^2)/(8s) + s/2, and you can also cross-check with the direct geometry. Because using all these steps together provides the most complete and reliable way to determine the radius, the option that includes measuring the chord, finding the midpoint and middle ordinate, and applying the radius formula is the best choice.