Question
A road which is 7m wide surrounds a circular park whose circumference is 352m. Find the area of of road.
✓
Answer
Circumference of the circular park $=2\pi\text{r}=352\text{m}$
$=2\pi\text{r}=352$
$=2\times\frac{22}{7}\times\text{r}=352$
$=\text{r}=56\text{m}$
Radius of the path including the 7m wide road $=(\text{r}+7)$
$=56+7=63\text{m}$
$\therefore$ Area of the road:
$=\pi\times(63)^2-\pi\times(56)^2$
$=\frac{22}{7}\times63\times63-\frac{22}{7}\times56\times56$
$=22[9\times63-8\times56]$
$=22[567-448]$
$=2618\text{m}^2$
$\therefore$ Area of the road $=2618\text{m}^2$
$=2\pi\text{r}=352$
$=2\times\frac{22}{7}\times\text{r}=352$
$=\text{r}=56\text{m}$
Radius of the path including the 7m wide road $=(\text{r}+7)$
$=56+7=63\text{m}$
$\therefore$ Area of the road:
$=\pi\times(63)^2-\pi\times(56)^2$
$=\frac{22}{7}\times63\times63-\frac{22}{7}\times56\times56$
$=22[9\times63-8\times56]$
$=22[567-448]$
$=2618\text{m}^2$
$\therefore$ Area of the road $=2618\text{m}^2$
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