Answer:
a) Option A: r = 5
b) Option C: y = x
Step-by-step explanation:
a) First, we know that a circle centered at the origin of radius R is written as:
x^2 + y^2 = R^2
Then x^2+y^2=25 can be rewritten as:
x^2 + y^2 = 5^2
This is a circle of radius 5.
Then in polar form, this can be written as:
r = 5
b) Now we have the angle 225°
For rectangular coordinates (x, y)
The correspondent value of θ is given by:
Tan(θ) = y/x
In this case, we have θ = 225°
Then:
Tan(225°) = 1 = y/x
This can be rewritten as x = y
Then the correct option is C) y = x
