⁦Sections of a cylinder, cone and ball, the sphere equation⁩

⁦Find the diagonal of an axial section, the radius of a section of a cone and of a ball, and read the centre and radius from a sphere equation⁩.

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الدليل

⁦This follows Ukrainian Grade 11 geometry⁩ §19–21, §23. ⁦The axial section of a cylinder is a rectangle, of a cone an isosceles triangle, of a ball a great circle⁩. ⁦The section of a ball has r = √(R² − d²)⁩.

⁦Common slips⁩: ⁦adding lengths instead of using Pythagoras, taking a distance for a radius, and flipping the signs of the centre⁩.