Mathematics: Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?

Circle C has a center at (-2,10) and contains the

cbehunter05

24.01.2022

Step-by-step explanation:

To solve this problem, you first need to find the distance between the center and the point on the circle. This will give you your radius.

There are 12 units between -2 and 10 on the x-axis.

There are 5 units between 5 and 10 on the y-axis.

To find the distance of the slope, you can treat the distance as the hypotenuse and the distances of the two sides as your variables.

Using the Pythagorean theorem:

12^2 + 5^2 = 13^2. Your radius is 13 units long.

The equation for a circle is shown as the following:

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

Where the center is (h, k), and the radius is r.

When the center is at (-2, 10) and the radius is 13, then the equation is shown here:

(x +2)^2 + (y - 10)^2 = 169

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