$\"\"$

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(a)

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The radius of the circle is $\"\"$ .

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The center of the circle is $\"\"$ .

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The general equation of the circle $\"\"$ .

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Where the radius is $\"\"$ and the center is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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The cartesian equation of the curve is $\"\"$ . \ \

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$\"\"$

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(b)

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The radius of the circle is $\"\"$ .

\

The center of the circle is $\"\"$ .

\

The general equation of the circle $\"\"$ .

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Where the radius is $\"\"$ and the center is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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The cartesian equation of the curve is $\"\"$ .

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Substitutre $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The polar form of the curve is $\"\"$ .

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$\"\"$

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(a) The cartesian equation of the curve is $\"\"$ . \ \

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(b) The cartesian equation of the curve is $\"\"$ .

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The polar form of the curve is $\"\"$ .