What is the equation of a circle of radius 6 units centered at (3, 2)? Choose the most appropriate option:
A) x2 + y2 + 6x - 4y = 23 B) x2 + y2 - 6x + 4y = 23 C) x2 + y2 + 6x + 4y = 23 D) x2 + y2 - 6x - 4y = -23 E) x2 + y2 - 6x - 4y = 23
x2 + y2 - 6x - 4y = 23xplanatory Answer   x2 + y2 - 6x - 4y = 23quation of a circle with center (a, b) and radius 'r' units is (x - a)2 + (y - b)2 = r2   Therefore, the equation of this circle = (x - 3)2 + (y - 2)2 = 62   i.e., x2 - 6x + 9 + y2 - 4y + 4 = 36   or x2 + y2 - 6x - 4y = 23   The correct choice is (x2 + y2 - 6x - 4y = 23)
<result>E</result>
What is the equation of a circle of radius 6 units centered at (3, 2)?