Special Curves

The angle subtended at the centre of the directing circle is calculated by the formula ____.
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The arch length of a cycloid is how many times the radius of a circle generating the cycloid?

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Gear tooth is a combination of hypocycloid and epicycloid.
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If the diameter of the directing circle is doubled the diameter of the generating circle then the hypocycloid will become a ______.
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A circle of 30 mm diameter rolls outside another circle of diameter 150 mm. The angle subtended at the centre of directing circle is _____
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Which of the following curve will be generated if a circle of diameter 40 mm rolls on the circumference of another circle of diameter 150 mm and outside it?
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