If in a circle a chord of length 14 cm is at a distance of 24 cm from its centre, then the length of the radius of the circle is:

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Given:
- Length of chord = 14 cm
- Distance of chord from center = 24 cm

To find: Radius of the circle.

Step 1: The perpendicular from the center of the circle to the chord bisects the chord.  
So, half of the chord length = 14/2 = 7 cm.

Step 2: Consider the right triangle formed by the radius (hypotenuse), the distance from center to chord (one leg), and half the chord length (other leg).

Using Pythagoras theorem:  
Radius^2 = (Distance from center to chord)^2 + (Half chord length)^2

Radius^2 = 24^2 + 7^2 = 576 + 49 = 625

Radius = sqrt(625) = 25 cm.

Hence, the radius of the circle is 25 cm.

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