A circle has its center at (1,4) and a radius of 2 units what is the equation of the circle
Accepted Solution
A:
Answer: x² + y² - 2x - 8y + 13 = 0Step-by-step explanation:the equation of the circle is in the form (x - a)² + (y - b)² = r²where (a,b) is the center of the circle and r is the radius hence the equation is (x - 1)² + (y - 4)² = 2² x²-2x+1+y²-8y+16= 4 x²+ y² -2x- 8y + 17 =4 x² + y² - 2x - 8y = -13 x² + y² - 2x - 8y + 13 = 0