Question

Given the center of a circle is at (5, -2) and the radius is = 17, write the equation of the circle

Answer 1

(x-5)²+(y+2)²=289

Explanation:

To do this recall that when writing the center we have the opposite sing

for example in the equation (x+b)²+(y+c)² the center would be (-b,-c)

so we can write (x-5)²+(y+2)²

To find the radius we take the square root of what's on the other side of the equation. So the inverse is 17² or 289

so the final answer is

(x-5)²+(y+2)²=289