Question

The diameter of a wheel that makes 113 revolutions to go 2 Km 26 decametres is $(\pi =\frac{22}{7})$

• A. $4\frac{4}{13}$
• B. $6\frac{4}{11}$
• C. $12\frac{4}{11}$
• D. $12\frac{8}{11}$

Answer 1

The correct option is B $6\frac{4}{11}$

Circumference of wheel = Distance covered in one round of wheel
$=\frac{2km26deceameter}{113}=\frac{2260}{113}=20m$
$\therefore 2\times \frac{22}{7}\times r=20\Rightarrow 2r=\frac{20\times 7}{22}=6\frac{4}{11}m$
$\therefore Diameter=2r=6\frac{4}{11}m$