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Question

Write the equation of the circle in polar form.


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Solution

Equation of a circle in polar form.

The equation of a circle centered at the origin with radius a is given by,

x2+y2=a2

Substitute x=rcosθandy=rsinθ in the above equation

(rcosθ)2+(rsinθ)2=a2r2(cos2θ+sin2θ)=a2r2=a2cos2θ+sin2θ=1r=a

Hence, the equation of the circle is r=a.


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