Question

A circle is represented by the equation shown below.

(x + 3)2 + (x - 2)2 = 4

Which statement is true?
Answer
The circle is centered at (3, 2) and has a radius of 2.
The circle is centered at (-3, 2) and has a diameter of 2.
The circle is centered at (-3, 2) and has a radius of 2.
The circle is centered at (-3, -2) and has a diameter of 2.

Answer 1

@lalaly :)

Answer 2

Do it do it do it :D

Answer 3

Thank you:)

Answer 4

See, the equation of a circle looks like:


\(\Large \color{MidnightBlue}{\Rightarrow (x - b)^2 + (y - h)^2 = r^2 }\)
(h,b) are center co-ordinates.
r is the radius.

Answer 5

The equation is same as:


\(\Large \color{MidnightBlue}{\Rightarrow (x - (-3))^2 + (y - 2)^2 = 4 }\)

Center coordinates are (-3,2), radius is sqrt4 = 2. Diameter is two times radius, so it is 4.

Answer 6

I mean diameter is 4 and radius is 2.

Answer 7

Okay, this is still confusing, but I think I am starting t understand it now.

Answer 8

Yeah.. @lalaly you're the best :D continue

Answer 9

nothing is confusing about it @CoffeeEyes just write the general form everytime u see the equation of the circle, and compare it to the equation you have