Question

Write the equation using the center and radius.Center = (3, 7) Radius=5

Answer 1

Answer:

(x - 3)^2 + (y - 7)^2 = 25.

Explanation:

The equation of a circle with center (h, k) and radius r is given by:

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

Substituting the given values, we get:

(x - 3)^2 + (y - 7)^2 = 5^2

Expanding the squares and simplifying, we get:

(x - 3)(x - 3) + (y - 7)(y - 7) = 25

or

(x - 3)^2 + (y - 7)^2 = 25

Therefore, the equation of the circle with center (3, 7) and radius 5 is (x - 3)^2 + (y - 7)^2 = 25.

Answer 2

Explanation:

x=3 y=7

-3 -7

x-3=0 y-7=0

r = 5

(x-3)² + (y-7)² = 25

using the rule (a - b)² = a² - 2ab + b²

x² - 6x + 9 + y² - 14y + 49 = 25

x² - 6x + y² - 14y + 58 = 25

-25 -25

x² - 6x + y² - 14y + 33 = 0