Question

to verify experimentally that the tangent at any point to a circle is perpendicular to the radius through that point.
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Answer 1

Answer:

OA=OC ( radii of circle)

now, OB=OC+BC

therefore

OB is smaller than OC ( oc being radii and B at any point on tangent)

OA is greater than OB

since B is arbitrary point on tangent

hence OA Is shorter than any other line segment joining O to any point on tangent

shortest distance of a point from a given line is perpendicular distance from that line

hence the tangent at any point to a circle is perpendicular to the radius