Algebra

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If a circle of radius 5 is made to roll along the x-axis, what is the equation for the path of the center of the circle?

  • Algebra -

    By definition of a circle, the centre is always at the same distance (=radius) from the circumference, or more precisely, any tangent to the circle.
    If the circle of radius 5 rolls above the x-axis, the locus of the centre is therefore y=5. If it rolls under the x-axis, the locus of the centre is y=-5.

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