Question

If a wheel of radius r through an angle of 30° then distance through which any point on it's rim is ?
A. pie/3 x r
B. pie/6 x r
C. pie/30 x r .
kindly i need urgent answer who want to be brainliest?​

Answer 1

$\bf \dfrac{\pi r}{6}$

The Accurate Question :

If a wheel of the radius r turns through the angle of 30°, then what is the distance through which any point on its rim moves?

$\bf A : \dfrac{\pie r }{3}\\ \\ \\\bf B : \dfrac{\pie r }{6}\\ \\ \\\bf C : \dfrac{\pie r }{30}$

Explanation :

Given :

A wheel of the radius r turns through the angle of 30°.

To Find :

The distance through which any point on its rim moves.

Solution :

Assumption :

The wheel moves a full circle, it moves through an angle of 360°.

So,

In that case, the distance moved by a point on its rim is equal to the circumference of a circle with radius.

Hence,

⇒ r = 2πr

Now, In the case of,  If a wheel of radius r moves through an angle of  30°.

The distance moved by a point on its rim :

$\implies \sf 2\pi r \times \dfrac{30}{360}\\ \\ \\\implies \bf \dfrac{\pi r }{6}$

Answer 2

Answer:

B

Explanation:

S=r0

s=2πr×30/360

s=2πr×1/12

s=πr/6