Question

If (5, 4) and (7, 2) are the endpoints of a diameter of a circle, what is the equation of the circle? A) (x − 6)2 + (y + 3)2 = 2 B) (x − 6)2 + (y − 3)2 = 2 C) (x + 6)2 + (y +3)2 = 8 D) (x + 6)2 + (y − 3)2 = 8

Answer 1

B

Explanation:

(5+7)/2 = 6

(4+2)/2 = 3

center = (6, 3)

diameter = √(5-7)²+(4-2)² = √8 = 2√2

radius is half diameter = √2

Equation for circle is (x-6)²+(y-3)²=2