Question
Find the diameter of a wheel whose circumference is $176\ cm.$
✓
Answer
Let the radius be $r \ cm$. Diameter $= 2 \times $ Radius$(r) = 2r \ cm$
Circumference of the wheel $=2\pi\text{r}$
$\therefore 2\pi\text{r}=176$
$\Rightarrow 2\text{r}=176\pi$
$\Rightarrow 2\text{r}=176\times\frac{7}{22}$
$\Rightarrow 2\text{r}=56$
Thus, the diameter of the given wheel is $56\ cm.$
Circumference of the wheel $=2\pi\text{r}$
$\therefore 2\pi\text{r}=176$
$\Rightarrow 2\text{r}=176\pi$
$\Rightarrow 2\text{r}=176\times\frac{7}{22}$
$\Rightarrow 2\text{r}=56$
Thus, the diameter of the given wheel is $56\ cm.$
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