Question

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° in 1 min. What will be the angle covered by her in 1 second according to the measurement made by her physiotherapist?

Answer 1

The angle covered by her in 1 second according to the measurement made by her physiotherapist is 2.4°.

Given,

According to the coach, the athlete covered the angle = 72° in 60 sec

Therefore, the angle made by the athlete at the circumference = 72°

we know that, "The angle made at the center by a chord is twice the angle made by the chord at the circumference."

As, the physiotherapist is standing at the center of the circle, so, according to the measurement of physiotherapist the athlete will make

= 2 × 72°

= 144° in 60 sec

Therefore, the angle made by the athlete in 1 second according to the  physiotherapist

=  144° / 60 sec

= 2.4°