Question

Write the standard equation of a circle with each given radius and center.

1. r = 4; C= (0, 0)

2. r = 1; C = (2, 3)

3. r = 4; C = (-2, 8)

Write the standard equation for the circle given the following equations.

4. x2 + y2 - 8x + 7 = 0

5. x2 + y2 + 4x - 6y - 3 = 0

Answer 1

( With (h,K) being the center of the circle AND r being the radius )

\(\color{blue}{ (x-h)^2+(y-k)^2=r^2 }\) plug in your numbers.....

\(\color{blue}{ (x-0)^2+(y-0)^2=(4)^2 }\) simplify more....

\(\color{blue}{ x^2+y^2=16 }\)

there it is !


can you do the rest based on this example (applying the same formula and Technics ?