Multiple choice

What is the measure of an angle made by the radius and the tangent of the circle?

  1. 900

  2. 1800

  3. 2700

  4. 3600
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A Correct answer
Explanation

By geometric theorem, the radius of a circle is always perpendicular to the tangent at the point of contact.

AI explanation

By the fundamental tangent-radius theorem, a tangent drawn to a circle at any point is always strictly perpendicular to the radius connecting that point of contact to the center. This establishes the angle formed between them as exactly 90 degrees. Therefore, the measure of the angle is 90 degrees.

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