Solution:

Radius of the clock (circle) = length of minute hand

Therefore, as given the radius (r) of the circle = 14 cm

In 60 minutes, the minute hand swept the angle = 360°

As a result, the minute hand swept the angle in 5 minutes = 360° × 5/60 = 30°

We are aware that,

The area of a sector = (θ/360°) × πr²

Now, the sector’s area forms a 30° angle = (30°/360°) × πr² cm²

= (1/12) × π14²

= (49/3)×(22/7) cm²

= 154/3 cm²