# For a tangent ogive, given a radius, can you determine it's length?

A tangent ogive body has a specific radius for a given length, so how would you determine length if only given the radius?

• Assuming you also know the shank diameter... – Jonathan R Swift Nov 12 '19 at 16:06

$$L=\sqrt{r^2-x^2}$$
$$x=r-\left(\frac{D}{2}\right)$$
$$L=\sqrt{r^2-\left(r-\left(\frac{D}{2}\right)\right)^2}=\frac{1}{2}\sqrt{-D (D - 4 r)}$$