Question

PLEASE HELP ME ANSWER THIS QUESTION

Find the equation of the circle in standard form for the given center (h, k) and radius
r: (h, k) = (5, 4), r = 2

Answer 1

The equation of a circumference can be written as:

`(x - xh) {}^(2) + (y - yk) {}^(2) = r {}^(2)`

`(x - 5) {}^(2) + (y - 4) {}^(2) = 4`

`x {}^(2) - 10x + 25 + y {}^(2) - 8y + 16 - 4 = 0`
The solution is:

`x {}^(2) + y {}^(2) - 10x - 8y + 37 = 0`