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A chord of a circle is 24 cm long. The perpendicular distance from the centre of the circle to this chord is 5 cm. What is the radius of the circle?

Competition practiceGeometry
  • A11 cm
  • B12 cm
  • C26 cm
  • D13 cm

Step-by-Step Solution

The perpendicular from the centre bisects the chord, so half the chord is 12 cm. This forms a right triangle with legs 12 and 5 and hypotenuse r, so r = √(144 + 25) = √169 = 13 cm.
Answer: D) 13 cm

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