Question

ग.
2. एक पहिए का क्षेत्रफल 6.16 वर्ग मीटर है। पाहिए को 572 मीटर की दूरी तय करने के लिए कुल कितने चक्कर
लगाने पड़ेंगे?​

Answer 1

Given:

A circular wheel of area 6.16 m rolling a distance of 572m

To find:

The number of revolution made by a circular wheel

Solution:

Let "r" represents the radius of the wheel.

We have,

The area of the wheel = 6.16 m²

∴ $\pi r^2 = 6.16$

⇒ $\frac{22}{7} \times r^2 = 6.16$

⇒ $r^2 = \frac{6.16 \times 7}{22}$

⇒ $r = \sqrt{1.96}$

⇒ $\bold{r = 1.4\:m}$ ← the radius of the wheel

Let's assume "n" represents the no. of revolutions made by the wheel.

We know that,

1 revolution made by the wheel = Circumference of the circular wheel

So we get,

n × Circumference of the wheel = The distance covered by the wheel

⇒ n × $2\pi r$ = 572

⇒ n × 2 × $\frac{22}{7}$ × 1.4 = 572

⇒ n = $\frac{572 \times 7 }{2 \times 22\times 1.4}$

⇒ n = $\frac{4004}{61.6}$

⇒ n = 65

Thus, the number of revolution made by the circular wheel is → 65.

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