Question

What is the formula for determination of radius of curvature with the help of a spherometer?

Answer 1

The formula for the determination of radius of curvature is :-

$r = \frac{ {l}^{2} }{6h} + \frac{h}{2}$

where it is Sagitta and l is length of the side of equilateral triangle formed by the tips of the leg of spherometer .

The term h/2 safely be dropped in case of surface large radius of curvature.

:-)

Answer 2

Explanation:

You could measure its diameter or the circumference of a great circle, the surface area or the radius. But all of these measurements will change proportionally to the radius R of the sphere. Any surface that is curved has a radius of curvature, the radius of the sphere that approximates the surface locally.