Answer:
( x + 2 )² + ( y - 1 )² = 25
Step-by-step explanation:
Circle equation - ( x - h )² + ( y - k )² = r²
Important notes:
(h,k) = center
r = radius
The first step would be to find the center
( it's hard to explain how to find the center point virtually but the center point is at (-2,1) )
Like stated before ( h , k ) = center point
* replace center point with (-2,1) *
( h , k ) = ( -2 , 1 )
h = -2
k = 1
* plug in the h and k values into the circle equation *
now we have ( x - ( -2) )² + ( y - 1 )²
Now to find the radius
We can find the radius by using the distance formula with the center point and any point on the circle's outline
The point chosen can vary but i chose (3,1)
Because the y value of the chosen point and the y value of the center are the same we can simply subtract the larger x value by the smaller x value to find the radius
3 - (-2)
the two negative signs cancel out
3 + 2 = 5
So the radius equals 5
* plug in the value of the radius into the equation *
Now we have
( x - (-2) )² + ( y - 1 )² = 5²
our final step is to simplify
- (-2) the two negative signs cancel out and it turns into +2
5² = 25
Our final answer would be ( x + 2 )² + ( y - 1 )² = 25
