Question

A wheel has diameter 84cm. How many complete revolution it should take over 792m.

Quality answer Needed ​

Answer 1

${\Huge{\underline{\underline{\mathfrak{Solution:-}}}}}$

$\bold\red{Given=>}$

Diameter of wheel = 84 cm

$\bold\green{Then=>}$

Radius of wheel = $\huge \frac{84}{2} = 42cm$

$\bold\blue{We\:know\:that,}$

Circumference of wheel = Distance covered in 1 revolution by wheel.

Circumference of circle $2\pi \: r$

$= 2 \times \frac{22}{7} \times 42$

$= 264cm$

Therefore, Number of revolution to cover 264 cm = 1

$\bold\implies$ Number of revolution to cover

$1cm = \frac{1}{264}$

$\bold\implies$Number of revolution to cover

$792m = \frac{792 \times 100}{264} (1m = 100cm)$

$\bold = 300$

Answer 2

Answer:

Wheel is a circle , So the diameter(D) of the Circle is 84 cm .

So the Radius(r) = D/2 = 84/2 = 42 cm

1m = 100 cm

=> 792 m = 792×100 cm = 79200 cm

So now the Peremeter of the Circle is = 2πr

                                                               = 2 × 3.14 ×42

                                                                = 263.76 cm = 2.637 m

Now total distance covered in meter = 792 m

So total revolution = 792/2.637 = 300.341

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