To find the area of a circle with a radius of 3xy^3, we can substitute the value of the radius, which is 3xy^3, into the formula for the area of a circle, A = πr^2. Here's the calculation:
Given: Radius, r = 3xy^3
Plugging in the value of r into the formula:
A = π(3xy^3)^2
Simplifying the expression inside the parentheses:
A = π(9x^2y^6)
Using the exponent rule for squaring a power:
A = π(9x^2)(y^6)
Multiplying the coefficients and keeping the variables separate:
A = 9πx^2y^6
So, the area of the circle with a radius of 3xy^3 is 9πx^2y^6.