Answer:

Step-by-step explanation:

speed of cycle in m/s = 10/1 x 1000/3600 =100/36= 25/9

radius of circle = 50 cm

perimeter = 2πr

                 = 2 x 3.14 x 50

                  = 314 meter

time she will take to cover a round = 314/25/9

                                                           = 314 x 9/25

                                                            = 2826/25

                                                             = 113.04 secc

Verified answer

Given :-

• Tina is cycling at a speed of 10km/h

To Find :-

• How long will she take to make a round of a circular field of radius 50m² .

Solution :-

As we know that,

[tex]\begin{gathered}\\ {\underline{\boxed{\large\leadsto\bf \color{blue}{ Circumference_{(Circle) \: = \: \large{ 2\pi r}}}}}} \\ \end{gathered}[/tex]

Where,

• ➢ π = 3.14
• ➢ r = Radius

So after put the values,

[tex] \begin{gathered}\\ \large\implies\sf{ Circumference_{(Circle) }} = 2 \times 3.14 \times 50 \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\implies\sf{ Circumference_{(Circle) }} = 100 \times 3.14\\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\implies\sf{ Circumference_{(Circle) }} = 314.00\\ \end{gathered}[/tex]

As we know that it also,

[tex]\begin{gathered}\\ {\underline{\boxed{\large \leadsto\bf { Speed = \frac{Distance}{Time}} \: or \: s = \frac{d}{t} }}} \\ \end{gathered}[/tex]

So, Kindly Put the values,

[tex] \begin{gathered}\\ \large\implies\sf{ 10 = \frac{314}{time} } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\implies\sf{ time = \cancel\frac{314}{10} } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\implies \underline{\sf{ t ime= 31.4 }} \\ \end{gathered}[/tex]

Hence,

• The time taken by her to make a round of a circular field of radius 50m² is 31.4 hours.

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