Question

An athlete completes one round of a circular track for diameter 200m in 40 seconds what will be the distance covered and displacement at the end of 2 minutes 20 seconds ​

Answer 1

✯✯ QUESTION ✯✯

An athlete completes one round of a circular track for diameter 200m in 40 seconds what will be the distance covered and displacement at the end of 2 minutes 20 seconds..

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✰✰ ANSWER ✰✰

$\longmapsto\tt{Diameter\:of\:Track=200m}$

➮As we know that Radius is double of Diameter.So ,

$\longmapsto\tt{Radius\:of\:track=\cancel\dfrac{200}{2}}$

$\longmapsto\tt{Radius=100m}$

⇒Since the athlete covers the complete round in 40 seconds .In 2 minutes 20 seconds , he will complete 3½ rounds...

$\longmapsto\tt{Distance=\dfrac{7}{2}\times{2\pi{r}}}$

$\longmapsto\tt{Distance=\dfrac{\cancel{7}}{\cancel{2}}\times{\cancel{2}}\times\dfrac{22}{\cancel{7}}\times{100}}$

$\longmapsto\tt{22\times{100}}$

$\longmapsto\tt\bold{2200m.}$