Question

I need help to Calculate x in the following diagram.

Answer 1

Explanation:

To find the equation of the circle, we need to first find the center and radius.

We can start by finding the midpoint of the segment connecting the two given points, (-4, 2) and (2, 6):

Midpoint = ((-4+2)/2, (2+6)/2) = (-1, 4)

So, the center of the circle is (-1, 4).

Next, we can find the distance between the center and one of the given points, say (-4, 2), using the distance formula:

distance = sqrt[(-4 - (-1))^2 + (2 - 4)^2] = sqrt[9 + 4] = sqrt(13)

So, the radius of the circle is sqrt(13).

Therefore, the equation of the circle is:

(x + 1)^2 + (y - 4)^2 = 13.