Question
Find the diameter of a wheel whose circumference is 176cm.
✓
Answer
Let the radius be r cm.
Diameter = 2 × 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 56cm.
Diameter = 2 × 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 56cm.
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