Write the equation in standard form for the circle with center (0,5) and radius 7.

Question

asked Feb 20, 2024 76.6k views

1 Answer

Amica · Answer 1 · 2024-02-25T14:01:34+0000

Answer:

x^2+(y-5)^2=49

Explanation:

Recall the formula for the graph of a circle:

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

Where h is the x-coordinate of the vertex, k is the y-coordinate of the vertex, and r is the radius.

We are given the vertex and the length of the radius.

Substitute the values:

$(x-0)^2+(y-5)^2=7^2=\\x^2+(y-5)^2=49$

Thus, the standard form is:

x^2+(y-5)^2=49