Question

A radius of a circular playground is 21mtr. one monkey covers 3mtr. in one jump and takes one minute rest in between consecutive jumps. calculate the total time of rest the monkey will take for covering the circumference of the playground.​

Answer 1

Answer:

43 minutes

Step-by-step explanation:

Given

Radius of the playground r = 21 m

Circumference of the playground

$=2\pi r$

$=2\times \frac{22}{7} \times 21$

$=2\times \frac{22}{7} \times 21$

$=132$ m

Since in 1 jump the monkey covers 3m

Therefore, the number of jumps made by the monkey

$=\frac{132}{3}-1$ (-1 because after the last jump the monkey would have covered the whole circumference)

$=43$

Therefore, the monkey rests for 43 times in covering the circumference of the playground

Thus, the total time of rest = $43\times 1$

                                            = 43 minutes

Hope this helps.

Answer 2

Answer:

43 minutes

Step-by-step explanation:

In this question,

We have been given that

Radius of circular playground is 21 meter,one monkey covers 3 meter in one jump and then takes rest for 1 minute

We need to find the total rest taken by the monkey.

We know that Circumference of the circle is given by = 2 π r

Where r is radius of the circle and $\pi\ =\ \frac{22}{7}$

Here r = 21 m

Therefore, Circumference = $2\times \pi\times 21$

Circumference = $2\times frac{22}{7}\times 21$

Circumference = $2\times 22\times 3$

Circumference =  132 meters.

Now, Total rest taken by the monkey is = $\frac{Circumference\ of\ the\ circle}{distance\ covered\ in\ one\ jump}\ -\ 1$

Total rest taken = $\frac{132}{3}\ -\ 1$

Total rest taken = 44 - 1

Total rest taken = 43

Therefore, total amount of rest taken by the monkey is 43 minutes.