Respuesta :
The polar form of the equation x² + y² = 16 is x = 4 or y = 4 or r = 4 ( x = y = r = 4) option (B) is correct.
What is the polar equation?
A polar coordinate system is a two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane.
It is given that:
The rectangular form of an equation is:
x² + y² = 16
The above equation representing a circle equation:
We can write the above equation as follows:
x² + y² = 4²
As we know, the polar form of the equation is:
x = r cos(θ)
y = r sin(θ)
r is the radius of the circle
r = 4
θ is the angle made by the component of x and y:
tanθ = y/x
tanθ = r/r; x = y = r
tanθ = 1
θ = 45 degrees
Thus, the polar form of the equation x² + y² = 16 is x = 4 or y = 4 or r = 4 ( x = y = r = 4) option (B) is correct.
Learn more about the polar form here:
brainly.com/question/13640455
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