Question

Enter the equation of the circle with the given center and radius.

Center: (0, 5); radius: 5

The equation of the circle is

Answer 1

Correct answer:

(x−0)² + ( y−5)²=5²

Step-by-step explanation:

The equation of a circle is (x−h)²+(y−k)²=r²

The center is (0,5) or, written another way (h,k). Substituting 0 for h and 5 for k, our formula becomes (x−0)²+(y−5)²=5²

Finally, the formula of the circle is (x−0)²+(y−5)²=25

Answer 2

`(x-0)^(2) + (y-5)^(2) = 25`

Step-by-step explanation:

The "template" equation of a circle is:

`(x-h)^(2) + (y-k)^(2) = r^(2)`

All you're doing after that, is filling in the blanks:

h = 0

k = 5

r = 5