GCSE Maths (Edexcel)

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Angle Between a Tangent & the Radius

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Geometry and Measures Properties and Constructions

Angle Between a Tangent & the Radius

2:36 Circle Theorems
Spec G10
Previous Perpendicular from a Chord Next Tangents Meeting
  • The angle between a tangent and the radius at the point where the tangent touches the circle is a right angle
  • The radius is the distance from the center of a circle to the edge
  • The tangent is a straight line that touches the circle at a single point
  • The shortest distance from a point to a line is the perpendicular from the point to the line
  • The radius OD is the shortest distance from the center of the circle to the line AB
  • Any other line from the center of the circle to AB will be longer than the perpendicular line OD
  • OD must be perpendicular to AB since it is the shortest distance from the center of the circle to the line

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