Question

a cyclist is riding on a circular path with constant speed of 22m/sec. He takes 7 secs to complete one round, then find radius of path
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Answer 1

Answer:

24.5

Explanation:

speed=distance/time

22=d/7

d=22×7

d=154m=circumference of circle

c=2πr

154=2×22/7×r

r=154×7/2×22

r=24.5m

Answer 2

The cyclist is riding on a circular path or radius 24.5 metres.

Given,

Speed of the cyclist=22 m/s

Time taken to complete one round=7 seconds.

To find,

the radius of the circular path.

Solution:

• Speed is equal to the ratio of the distance covered to the time taken to cover it.
• As mentioned in the question that the path covered by the cyclist is a circular path so the circumference of that path will be $2\pi r$.
• r is the radius of the circular path.
• The distance covered by the cyclist is equal to the circumference of the path.

Distance covered by the cyclist=Circumference of the circular path.

The distance covered by the cyclist,

$Speed=\frac{Distance}{Time} \\Distance=SpeedX Time\\Distance=22X7\\Distance=154 m.$

The distance covered by the cyclist is 154 metres.

Distance covered by the cyclist=Circumference of the circular path

The value of π is $\frac{22}{7}$.

$154 =2\pi r\\154=2X\frac{22}{7} Xr\\r=\frac{154X7}{2X22} \\r=\frac{49}{2} \\r=24.5 m.$

The radius of the path is 24.5 metres.

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