During a practice session in a stadium an athlete runs along a circular track and her performance is observed by her coach standing at a point on the circle and also by her physiotherapist standing at the centre of the circle. The coach finds that she covers an angle of $$72^\circ$$ in 1 min. What will be the angle covered by her in 1 second according to the measurement made by her physiotherapist ?

According to the measurement of the coach the athlete covered the angle = $$72^\circ$$ in 60 sec

So, the angle made by the athlete at the circumference is = $$72^\circ$$

Now,

The physiotherapist is standing at the centre of the circle.

As we know that the angle made at the centre by the chord is twice the angle made by the chord at the circumference.

So, according to the measurement of physiotherapist the athelete will make $$144^\circ$$ in 60 sec

The angle made by the athlete in 1 second according to the physiotherapist = $$\frac{144^\circ}{60}=2.4^\circ$$