Question

John and Jane go for a run round the roundabout every dawn. They run 6 rounds and cover a distance of 2400 metres. What is the diameter of the roundabout

Answer 1

Answer:

2400

36(+-)0 =6 is the answer I think not sure

Answer 2

$\huge\mathbb\fcolorbox{pink}{lavenderblush}{♡ᎪղՏωᎬя᭄}[$

The diameter of the roundabout is 763.63 m.

Gɪᴠᴇɴ :

John and Jane run 6 rounds in the roundabout.

They cover a distance of 2400 m.

Tᴏ Fɪɴᴅ :

The diameter of roundabout.

Cᴀʟᴄᴜʟᴀᴛɪᴏɴ :

✯ John and Jane run in the roundabout, that means they run in a circular path or they run on the circumference (perimeter) of the circular.

We know that,

↝ Circumference of a circle is,

$\begin{gathered}\red\bigstar\:\bigg\{\:\bf\purple{Circumference\:=\:2\:\pi\:r\:}\:\bigg\}\:\red\bigstar \\ \end{gathered}$

$➣ \begin{gathered}\:\bf{2400\:=\:2\:\pi\:r\:} \\ \end{gathered}$

$➣ \begin{gathered}\:\bf{r\:=\:\dfrac{2400}{2\:\pi}\:} \\ \end{gathered}$

$➣ \begin{gathered}\:\bf{r\:=\:\dfrac{2400}{2\times{\frac{22}{7}}}\:} \\ \end{gathered}$

$➣ \begin{gathered}\:\bf{r\:=\:\dfrac{1200\times{7}}{22}\:} \\ \end{gathered}$

$➣ \begin{gathered}\:\bf{r\:=\:\dfrac{600\times{7}}{11}\:} \\ \end{gathered}$

$➣ \begin{gathered}\:\bf{r\:=\:\dfrac{4200}{11}\:} \\ \end{gathered}$

$➣ \begin{gathered}\:\bf{r\:=\:381.81\:m} \\ \end{gathered}$

$\begin{gathered}\pink\bigstar\:\bigg\{\:\bf\blue{Diameter\:=\:2\times{r}\:}\:\bigg\}\:\pink\bigstar \\ \end{gathered}$

$➙ \begin{gathered}\:\bf{Diameter\:=\:2\times{381.81}\:} \\ \end{gathered}$

$➙ \begin{gathered}\:\bf\green{Diameter\:=\:763.63\:m} \\ \end{gathered}$

$\Large\tt{Therefore,}$

The diameter of the roundabout is 763.63 m.