Area Between Two Curves. Area Between Two Curves. Recall that the area under a curve and above the x axis can be computed by the definite integral. If we have two curves y = f(x) and y = g(x) such that f(x) > g(x) then the area between them bounded by the horizontal lines x = a and x = b is

We wish to find the height (h) which is the drop in curvature over the distance (d) Using the circumference we find that 1 kilometer has the angle 360° / 40 030 km = 0.009°. The angle (a) is then a = 0.009° * distance (d) The derived formula h = r * (1 - cos a) is accurate for any distance (d)

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