Question

I need to find the area of this figure.

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, (0, 4) and (4, 0):

Midpoint = ((0+4)/2, (4+0)/2) = (2, 2)

So, the center of the circle is (2, 2).

Next, we can find the distance between the center and one of the given points, say (0, 4), using the distance formula:

distance = sqrt[(0 - 2)^2 + (4 - 2)^2] = sqrt[4 + 4] = sqrt(8) = 2sqrt(2)

So, the radius of the circle is 2sqrt(2).

Therefore, the equation of the circle is:

(x - 2)^2 + (y - 2)^2 = 8.