# Thread: I need to find diameter of a given section of a sphere

1. ## I need to find diameter of a given section of a sphere

I have a sphere with a diameter of 250mm I need to find the diameter of a section 30mm from the centre. Sorry the math is beyond me

2. Hi
Through the Pythagorean theorem the radius of the circular section is $R = \sqrt{125^2-30^2}$
The section is $\pi R^2 = \pi (125^2-30^2)$

3. ## Thank You

Thank you. Love that Ptyhagorus...what a guy! Thats a great help as I needed to find section diameter at a few different levels as I am building something inside a sphere