Question

An athlete completes 2 rounds of a circular track of diameter 154m in 40s. Calculate the distance travelled by the athlete at the end of 1minute and 30seconds.

Answer 1

Dear Student ,
Here in this question radius of the track = $R=\frac{D}{2}=\frac{154}{2}=77m$
Now, the path travelled by the athlete in the circular track = $2\times 2\pi R=4\times \frac{22}{7}\times 77=968m$
Now the athlete covers 968 m completing 2 rounds in 40 seconds .
So, in 1 min 30 seconds the athlete will cover total distance = $968\times \frac{90}{40}=242\times 9=2178m$
Regards