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The ratio of the radii of two wheels is 4: 5. Find the ratio of theircircumference

Question

The ratio of the radii of two wheels is 4:5. Find the ratio of their circumference.

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Solution

The circumference of a circle is given by the formula 2πr, where r is the radius of the circle.

Since the ratio of the radii of the two wheels is 4:5, the ratio of their circumferences will also be 4:5.

This is because the circumference is directly proportional to the radius. If you double the radius, you double the circumference. If you halve the radius, you halve the circumference. So, if the ratio of the radii is 4:5, the ratio of the circumferences will also be 4:5.

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