True or False

Question

Either Standard Form of an Equation or Translated Form of an Equation can be used no matter where the center of the circle is located.

Answer 1

It is true

When the circle's center is at the origin, the formula is x²+y²=r².

When circle's center is at the (h,k),the formula is (x-h)² + (y-k)² = r²

We subtract these from x and y in the equation to translate ("move") the center back to the origin.

If you compare the two formulae, you will see that the only difference is that the h and k variables are subtracted from the x and y terms before squaring them:

Basic equation :x^2+y^2=r^2.

General equation:(x-h)² + (y-k)² = r²