Chapter 6

Angles and Tangents of Circles

Tangents to a circle and key circle-angle facts, including the angle in a semicircle — with an interactive exercise.

A tangent is a line that touches a circle at exactly one point.

Two useful facts: a tangent meets the radius at the point of contact at 90°; and an angle drawn in a semicircle (on the diameter) is always 90°.

Remember

  • Tangent ⟂ radius (90°) at the point of contact.
  • Angle in a semicircle = 90°.

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