Question

The equation of a circle is given below.

Answer 1

Answer:

The center of the circle is (2/3, 0) and radius is ±6units

Step-by-step explanation:

Given the equation of a circle given as shown;

(x-2/3)²+y² = 36

To get the radius and centre of the circle, we will compare the equation with the general equation of a circle given as;

(x-a)²+(y-b)² = r² where (a, b) is the centre of the circle and r is the radius.

Comparing with the given equation,

we will see that;

a = 2/3, b = 0 and r² = 36

If r² = 36

r = ±√36

r = ±6

This shows that the center of the circle (a, b) = (2/3, 0) and radius is ±6