Finding Area Inside a Petal of Flower r = 2cos(2*theta) in Polar

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In this video, we are finding the area of a petal of a flower (four-leaved rose) r = 2cos(2*theta). Symmetry helps a lot with the set-up and calculation!

Note: We will need half-angle formula for the integration.

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Thank you so much 🙏 the detailed explanation I needed 🙌

confusedchild
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Would the area of the entire curve be 2 pi?

i_know_it
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Is (1/2r^2 ) Math formula?
pease teach easy English.

handballerdesu