GCSE Maths Practice: circle-theorems

Question 2 of 10

This input-answer question has been converted into multiple-choice to test the radius-tangent perpendicularity property.

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\( \begin{array}{l}\text{Find the angle between the radius and a tangent at the point of contact.}\end{array} \)

Choose one option:

Always remember: tangent ⟂ radius at the point of contact.

Any tangent to a circle is perpendicular to the radius drawn at the point of contact. This fundamental theorem allows for angle calculations in circle geometry, forming the basis for problems involving tangents, chords, and semicircles. Applying this correctly helps with proofs, construction, and understanding the relationships between lines and circles in GCSE problems.