Answer:
The polar form is
r = √11a
Explanation:
The given equation is
x^2 + y^2 = 11a
Recall,
x = rcosθ
y = rsinθ
By substituting these values into the equation, we have
(rcosθ )^2 + ( rsinθ)^2 = 11a
r^2cos^2θ + r^2sin^2θ = 11a
r^2cos^2θ + r^2sin^2θ - 11a = 0
By factorizing r^2, we have
r^2(cos^2θ + sin^2θ) = 11a
Recall, cos^2θ + sin^2θ = 1
Thus, we have
r^2 = 11a
Taking the square root of both sides,
r = √11a
The polar form is
r = √11a
