Mathematics
Mathematics
Problem
Describe, in not more than two sentences, how you can locate the centre of a given circle using the midpoints of any two of its chords.Intuitive explanation
The key insight is that the perpendicular bisector of any chord always passes through the circle's centre. If you find the midpoints of two different chords and draw perpendicular lines through each midpoint, these two perpendiculars will intersect at exactly one point—the centre of the circle.
Intuitive explanation
The key insight is that the perpendicular bisector of any chord always passes through the circle's centre. If you find the midpoints of two different chords and draw perpendicular lines through each midpoint, these two perpendiculars will intersect at exactly one point—the centre of the circle.