Question

a cyclist takes 3 min to complete one round of the circular track.if the radius of the circular track is 45 meters ,then the speed of cyclist is ?​

Answer 1

Answer:

The speed of the cyclist = 1.57m/s

Step-by-step explanation:

Given,

Radius of the circular track = 45m

Time taken by the cyclist to complete one round of the circular track = 3min

To find,

The speed of the cyclist

Recall the formula

Circumference of a circle = 2πr, where 'r' is the radius of the circle.

Speed = $\frac{Distance \ traveled}{Time\ taken }$

Solution:

Distance traveled by the cyclist = one round of the circular track

= Circumference of the circular track

Since radius of the circular track is 45m,

the circumference of the circular track = 2πr

= 2π×45

= 90π meters

Distance traveled by the cyclist = 90π m

Time taken to complete one complete round = 3min = 3×60seconds

= 180 seconds

Speed of the cyclist  = $\frac{Distance \ traveled}{Time\ taken }$

= $\frac{90\pi }{180}$

= $\frac{\pi }{2}$

= $\frac{3.14}{2}$

= 1.57m/s

∴ The speed of the cyclist = 1.57m/s

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Answer 2

Answer:

speed of cyclist =  11/7 m/s

Step-by-step explanation:

a cyclist takes 3 min to complete one round of the circular track

time= 3min

= 3*60= 180 seconds

distance of circular track= 2$\pi$r

the radius of the circular track is 45 meters

r=45metres

distance = 2*45*$\pi$

speed of cyclist = distance of track ÷ time

speed= 2*45*$\pi$ ÷ (3*60)

= 90*22/7*3*60

= 11/7 m/s

speed of cyclist =  11/7 m/s

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