GB-42-03-001 · Tangent and radius

Diagram not accurately drawn

PT is tangent to a circle at T, with centre O. Angle OPT is 34°. Find angle POT. Give reasons.

Circle Theorems: Tangent and Radius Booklet p. 85 & p. 86

Method

Write each calculation beside the geometric reason that justifies it

Worked Example (GB-42-03-001)

Maths	Reason
$\angle OTP=90^\circ$	A radius is perpendicular to the tangent at the point of contact.
$\angle POT=180^\circ-90^\circ-34^\circ=56^\circ$	Angles in a triangle sum to 180°.

Ans = 56°