What will the movement of a point which is on the surface of a circle touching the ground at the same time, if the circle turns

Question

Ivanshal [37]

2 years ago

11

What will the movement of a point which is on the surface of a circle touching the ground at the same time, if the circle turns

210 degree by moving forward? The radius of he circle is 50cm.

Mathematics

1 answer:

lesya692 [45] · Answer 1 · 2021-12-27T08:57:47+03:00

lesya692 [45]2 years ago

3 0

Answer:

183.26cm

Step-by-step explanation:

Radius of the Circle = 50cm

Let the point be at A

It turns forward 210 degrees to B.

Therefore, the central angle subtended by the arc AB = 210 degrees

The movement of the point from A to B will be the length of the arc AB.

$\text{Length of an arc }=\dfrac{\theta}{360} \times 2\pi r \\$Therefore, the distance moved forward$\\=\dfrac{210}{360} \times 2\times\pi \times 50\\\\=183.26$ cm$