Multiple choice

The length of the tangent to a circle from a point P is 15 cm. Point P is 17 cm away from the centre. What is the radius of the circle?

  1. 7 cm

  2. 9 cm

  3. 8 cm

  4. 4 cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

By the tangent theorem: tangent² + radius² = distance from center². Given tangent = 15 cm, distance = 17 cm. So 15² + r² = 17², which gives 225 + r² = 289, therefore r² = 64 and r = 8 cm.

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