Question

The center of a circle is located at point (3, -8), and the length of the radius is 5 units. Which of the following equations is an equation of the circle?
(x +8)2 + (y +3)2 = 5(x +8)2 + (y +3)2 = 5

(x − 3)2 + (x − 8)2 = 5(x − 3)2 + (x − 8)2 = 5

(x − 3)2 + (y + 8)2 = 25(x − 3)2 + (y + 8)2 = 25

(x − 8)2 + (+ 3)2 = 25

Answer 1

Answer:

The general equation of a circle with center at (a,b) and radius r is :

• (x − a)² + (y − b)² = r²

So, substituting the values we get the circle equation as :

• (x − 3)² + (y + 8)² = 5²