The equation of this circle is - a. (x + 3)^2 + (y – 3)^2 = 9 b. x^2 + y^2 = 3 c. x^2 + y^2 = 9 d. x^2 + y^2 =√(3)

Question

The equation of this circle is -

a. (x + 3)^2 + (y – 3)^2 = 9

b. x^2 + y^2 = 3

c. x^2 + y^2 = 9

d. x^2 + y^2 =
`√(3)`

Answer 1

Hello!

The standard equation of a circle is x² + y² = r², when the center is at the origin.

So therefore, we just need to substitute the radius into the equation to find the appropriate equation.

x² + y² = (3)²

x² + y² = 9

Therefore, the equation of the circle is C, x² + y² = 9.