An athletics track is to have a perimeter of 400m and straights of length 100m. Find the radius of the bend?
+26400 An athletics track is to have a perimeter of 400m and straights of length 100m. Find the radius of the bend ?
$$\small{\text{$
\begin{array}{rcll}
2\cdot (\pi \cdot r + 100~ \rm{m} ) &=& 400 ~ \rm{m} \quad & | \quad :2 \\
\pi \cdot r + 100~ \rm{m} &=& 200~ \rm{m} \\
\pi \cdot r &=& 100~ \rm{m} \\
r &=& \dfrac { 100~ \rm{m} } { \pi } \\
r &=& 31.8309886184 ~ \rm{m} \\
r &\approx& 31.83 ~ \rm{m}
\end{array}
$}}$$
+26400 An athletics track is to have a perimeter of 400m and straights of length 100m. Find the radius of the bend ?
$$\small{\text{$
\begin{array}{rcll}
2\cdot (\pi \cdot r + 100~ \rm{m} ) &=& 400 ~ \rm{m} \quad & | \quad :2 \\
\pi \cdot r + 100~ \rm{m} &=& 200~ \rm{m} \\
\pi \cdot r &=& 100~ \rm{m} \\
r &=& \dfrac { 100~ \rm{m} } { \pi } \\
r &=& 31.8309886184 ~ \rm{m} \\
r &\approx& 31.83 ~ \rm{m}
\end{array}
$}}$$
