Video: The Ratio of the Circumference of a Circle to Its Radius

Write this ratio in its simplest form: The ratio of the circumference of a circle to its radius.

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Video Transcript

Write this ratio in its simplest form: the ratio of the circumference of a circle to its radius.

Our ratio is circumference to radius. The circumference in terms of the radius is equal to two times the radius times πœ‹. The radius is then equal to π‘Ÿ. With this ratio, we notice that we have an π‘Ÿ on either side.

Imagine that we divide both sides of our ratio by the radius. On the left, it would cancel out, leaving us with two πœ‹. On the a right, we would have radius divided by radius, π‘Ÿ over π‘Ÿ.

We would then simplify that value to one. In its simplest form, the ratio of the circumference of a circle to its radius is two πœ‹ to one. For every one unit of radius, there is two πœ‹ units in the circumference.

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