Question

Write the equation of a circle with center (-3, 5) and a point on the circle is (1, 8).

Equation:

Answer 1

`(x + 3)^2 + (y - 5)^2 = 5^2`

Explanation:

Well, the center origin of the circle is given (h,k) = (-3,5).

Point on the circle is (x,y) = (1,8)

We have to find our radius as they gave us a point. from origin to the edge of the circle.

Using the formula: (x - h)^2 + (y - k)^2 = r^2

Plug in our (h,k) = (-3,5) and (x,y) = (1,8) to solve for radius.

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

(1 - (-3))^2 + (8 - (5))^2 = r^2

(4)^2 + (3)^2 = r^2

16 + 9 = r^2

r^2 = 25

r = 5