20.1. Two straights AB and BC

Try these first

1. 1.

   What is the formula to calculate the tangent length?

   Hint

   Remember, R is the radius and Δ is the angle.

2. 2.

   If R = 50 m and Δ = 60°, what is the tangent length?

   Hint

   Make sure to divide Δ by 2 before calculating.

3. 3.

   What does the tangent length represent?

   Hint

   Consider the definition of tangent in geometry.

4. 4.

   Is it true that the curve length can be found using the formula L = R * Δ * (π / 180)?

   • True
   • False

   Hint

   Think about the components of a circle.

5. 5.

   Calculate the circular arc length needed to connect two points with R = 400 m and Δ = 80°.

   Hint

   Ensure your angle is in degrees when using this formula.

6. 6.

   Two tangents create an intersection angle of 70° with a curve of radius 250 m. Find the tangent and curve lengths.

   Hint

   Break it down into steps — calculate tangent first, then curve length.