The area that is enclosed by the curve defined by the polar equation r = sin θ sin(4θ). can be solved by using the formula of A=[tex]\frac{1}{2}[/tex] ∫[f(θ)]²dθ.
How do you find the area enclosed by a polar curve?
Note also that this all given polar function can be evaluated from a limit 0 to 2 π.
First we sketch the polar curve which is r=sin4θ
Then Derive a Polar Curve where:
r = x² + y²
tan⁻¹[tex]\frac{y}{x}[/tex]
The graph for r=sin4θ is given in the image attached.
Learn more about polar curve from
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