An exercise track must consist of two semicircles and two ta

An exercise track must consist of two semicircles and two tangents, and be exactly 400-m along its centerline. The two tangents are 100-m each. What is the radius for the curves?

Solution

total length of exercise track x =400

length of tangent section each y =100

tangent distance z =x-2y

z=400-200

z=200 m

radius of curve R=z_/2

radius of curve R=200_/2

radius of curve R=100_/

radius of curve R=31.83 m