Answer
The polar equation of the given polar curve is $r=1+\sin \theta $.
Work Step by Step
From the given polar curve, we can observe that it is heart-shaped or cardioid.
Hence, $\frac{a}{b}=1$
And from the graph:
For $\theta =\frac{\pi }{2}$
$r=2$
By applying the above condition, we can conclude that the polar equation for the graph will be $r=1+\sin \theta $.
