Question

what is the radius of a wheel which covers a distance of 528 m in 42 revolution?
1) 1
2) 4
3) 6
4) 2​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Radius of a wheel covers  a distance of 528m}$

$\textsf{in 42 revlutions}$

$\underline{\textbf{To find:}}$

$\textsf{Radius of the wheel}$

$\underline{\textbf{Solution:}}$

$\textsf{Let 'r' be the radius of the wheel}$

$\textsf{Distance covered by the wheel in 1 revolution}$

$\mathsf{=Circumference\;of\;the\; wheel=2\,\pi\,r}$

$\mathsf{Distance\;covered\;by\;the \;wheel\;in\;42\;revolutions\;=42{\times}2\,\pi\,r}$

$\mathsf{528 = 42{\times}2{\times}\dfrac{22}{7}{\times}r}$

$\mathsf{528 = 6{\times}2{\times}22{\times}r}$

$\mathsf{r=\dfrac{528}{6{\times}2{\times}22}}$

$\mathsf{r=\dfrac{88}{2{\times}22}}$

$\mathsf{r=\dfrac{88}{44}}$

$\implies\boxed{\mathsf{r=2\;m}}$

$\therefore\textbf{Radius of the wheel is 2 m}$

$\underline{\textbf{Find more:}}$

Answer 2

$\underline{ \red{ \: \: \sf Solution \: \: }}$

Let “ r ” be the Radius of Circle

then,

Distance covered in 1 Revolution = Circumference of the Wheel

⇒ 528 = 42 × 2 × (22/7) × r

⇒ r = (528*7)/(44*42)

⇒ r = 84/42

⇒ r = 2cm

Radius of the Wheel is 2 cm.