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Find the area of the petals of r = 8 sin(3)?

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Final answer:

To find the area of the petals of r = 8 sin(3), we use the equation A = πr^2 where r is the radius. In this case, the radius of each petal is 8, so the area of each petal is 64π.

Step-by-step explanation:

The equation given is in the form of a polar equation r = 8 sin(3). To find the area of the petals, we need to determine the values of r when the angle θ is within each petal. Since the equation is in the form r = a sin(bθ), the radius of each petal is given by r = a, where a is the coefficient of sin(bθ).

In this case, the coefficient a = 8. Thus, the area of each petal is given by A = πr2 = π(82) = 64π.

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