In a stadium an athlete is running on a circular path with uniform speed during a practice session. The angle covered by him during one second is found to be 10° by coach observing him from the centre of the circular track. What would be the measure of angle (in degree) described by the athlete by an observer standing on the circle?

In a stadium an athlete is running on a circular path with uniform speed during a practice session. The angle covered by him during one second is found to be 10° by coach observing him from the centre of the circular track. What would be the measure of angle (in degree) described by the athlete by an observer standing on the circle? Correct Answer 5

[ alt="F1 S.G Deepak 11.12.2019 D2" src="//storage.googleapis.com/tb-img/production/19/12/F1_S.G_Deepak_11.12.2019_D2.png" style="width: 174px; height: 178px;">

Let the observer stand at point A on the circle.

The angle subtended by an arc at any point on the major segment is half of the angle subtended by the arc at the centre of the circle.

⇒ ∠BAC = ½ ∠BOC = 10°/2 = 5°

∴ The measure of angle described by the athlete by an observer standing on the circle is 5°