Question

Write the parametric equations of the circle:

(x − 3)² + (y + 4)² = 25

Answer 1

The equation of the circle is

(x − 3)² + (y + 4)² = 25

Comparing this equation with (x – h)² + (y – k)² = r²,

we get, h = 3, k = – 4 and r = 5

∴ the parametric representation of the circle is

x = h + r cos θ, y = k + r sin θ

i.e., x = 3 + 5 cos θ, y = – 4 + 5 sin θ.