How do you find the radius of curvature if you know its curvature and tangential angle?

The radius of curvature (R) and the curvature (k) of a curve are related by the following formula:

R = 1/k

Where k is the curvature, and R is the radius of curvature. If the tangential angle is known, it can be used to calculate the curvature. The tangential angle (θ) and the curvature (k) are related by the following formula:

k = dθ/ds

Where dθ/ds is the derivative of the tangential angle with respect to the arc length s. To find the radius of curvature, the curvature must be calculated from the tangential angle and then used in the formula R = 1/k.