Write the equation of each circle.center at (1,2) , diameter 14

Question

asked May 26, 2024 137k views

1 Answer

Shekar · Answer 1 · 2024-05-29T16:32:27+0000

Answer:

$(x-1)^2+(y-2)^2=49\\$

Explanation:

The equation for a circle is:

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

with (h,k) being the center.

The center is (1,2), so let's substitute:

(x-1)^2+(y-2)^2=r^2

We know the diameter is 14, so the radius is half of that, 7.

$(x-1)^2+(y-2)^2=7^2\\(x-1)^2+(y-2)^2=49\\$

Hope this helps! :)