Question

Find the centre and radius of the circle (x + 5)² + (y – 3)² = 36

Answer 1

The equation of the given circle is (x + 5)² + (y – 3)² = 36.
(x + 5)² + (y – 3)² = 36
⇒ {x – (–5)}² + (y – 3)² = 62,
which is of the form (x – h)² + (y – k)² = r², where h = – 5, k = 3, and r = 6.
Thus, the centre of the given circle is (–5, 3), while its radius is 6.