Mathguru – Help – How to find the number of revolutions to be made by a wheel to cover a certain distance?

Solved Example > No. SE 16

How to find the number of revolutions to be made by a wheel to cover a certain distance?

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Explanation:

Circle

Circle illustration showing a radius, a diameter, the centre and

the circumference

A circle is a simple shape of Euclidean geometry consisting of the set of points in a plane that is a given distance from a given point, the centre. The distance between any of the points and the centre is called the radius.

A circle's diameter is the length of a line segment whose endpoints lie on the circle and which passes through the centre. This is the largest distance between any two points on the circle. The diameter of a circle is twice the radius, or distance from the centre to the circle's boundary. The terms "diameter" and "radius" also refer to the line segments which fit these descriptions. The circumference is the distance around the outside of a circle.

A chord is a line segment whose endpoints lie on the circle. A diameter is the longest chord in a circle. A tangent to a circle is a straight line that touches the circle at a single point, while a secant is an extended chord: a straight line cutting the circle at two points.

Length of circumference

The ratio of a circle's circumference to its diameter is $π$ (pi), an irrational constant approximately equal to 3.141592654. Thus the length of the circumference $C$ is related to the radius $r$ and diameter $d$ by:

$Description: C = 2\pi r = \pi d\,$

(Our solved example in mathguru.com uses this concept)

http://en.wikipedia.org/wiki/Circle

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.