True or False? A circle could be circumscribed about the quadrilateral below.
2 answers:
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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= ∫[f(θ)]²dθ.
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
The graph for r=sin4θ is given in the image attached.
Learn more about polar curve from
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Given:
A circle with diameter 9 cm.
To find:
The area of the circle.
Solution:
The area of a circle is:
...(i)
Where r is the radius.
We know that, the diameter of a circle is twice than its radius.
The diameter of the given circle is 9 cm.
Substituting in (i), we get
Therefore, the area of the given circle is 63.6.