Question

Find the diameter of a wheel whose circumference is 176 cm.

Answer 1

Let the radius be r cm.
Diameter = 2 × Radius(r) = 2r cm
Circumference of the wheel = 2πr
∴ 2πr = 176
$$\begin{gathered} \Rightarrow 2r=\frac{176}{\pi } \\ \Rightarrow 2r=176\times \frac{7}{22}=56 \end{gathered}$$
⇒ 2r = 56
Thus, the diameter of the given wheel is 56 cm.