The circle equation is in the format (x – h)2 + (y – k)2= r2, with the center being at the point (h, k) and the radius being "r".
x²+y²-8x-6y+2 =0 -----(a)
(x-4)² = x² - 8x + 16
(y-3)² = y² - 6y + 9
Equation (a) can be rewritten as:
(x-4)² + (y-3)² + 2 - 16 - 9 = 0
(x-4)² + (y-3)² = 23
The coordinates for the center of the circle is: ( 4,3)
The radius is √23=4.8
In the year of 2008 there is a total of 720 million TVs.
Total area = 12 x 24.6 = 295.2
Area of circle = 3.14 x 3.6² = 40.69
Area of square = 4.2 x 4.2 = 17.64
Square and circle = 40.69 + 17.64 = 58.33
Probability = 58.33/295.2 = 0.1976
Rounded answer = 0.20
It is a polynomial with degree 2, with leading coefficient 2 and constant term 2. It has no linear coefficient. Its graph is a parabola.