Math, asked by krajput200051, 2 months ago

how long will a man take to make a round of a circular feild of radius 21 m,cycling at the speed of 8 Km/h​

Answers

Answered by VaishnaviVashisth
1

Answer:

The time taken by the man who cycling at the speed of 8km/h on circular field is 59.4 seconds .

Step-by-step explanation:

Formula

Circumference\ of\ a\ circle = 2\pi rCircumference of a circle=2πr

Where r is the radius of the circle .

Speed = \frac{Distance}{Time}Speed=

Time

Distance

As given

A man take to make a of a circular field of radius 21 m.cycling at the speed of 8km/h .

Put all the values in the formula

\pi =\frac{22}{7}π=

7

22

Circumference\ of\ a\ circle = 2\times \frac{22}{7}\times 21Circumference of a circle=2×

7

22

×21

Circumference\ of\ a\ circle = 2\times 22\times 3Circumference of a circle=2×22×3

Circumference\ of\ a\ circle = 132\ mCircumference of a circle=132 m

As 1 km = 1000 m

1\ m = \frac{1}{1000}\ km1 m=

1000

1

km

Now convert 132m into km .

132\ m = \frac{132}{1000}\ km132 m=

1000

132

km

= 0.132 km

I.e

Distance = 0.132 km

Speed = 8 km / h

Put all the values in the formula

8 = \frac{0.132}{Time}8=

Time

0.132

Time= \frac{0.132}{8}Time=

8

0.132

Time = 0.0165 hr

As

1 hour = 3600 second

Now convert 0.0165 hr into seconds .

0.0165 hour = 0.0165 × 3600

= 59.4 seconds

Therefore the time taken by the man who cycling at the speed of 8km/h on circular field is 59.4 seconds .

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