Question

This circle is centered at the point (2, 6), and the length of its radius is 4. what is the equation of the circle?

a. (x - 2)2 (y - 6)2 = 16
b. (x 2)2 (y 6)2 = 4
c. (x - 6)2 (y - 2)2 = 16
d. (x2 - 2) (y2 - 6) = 42

Answer 1

(x - 2)² + (y - 6)² = 16

Explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (2, 6 ) and r = 4 , then

(x - 2)² + (y - 6)² = 4² , that is

(x - 2)² + (y - 6)² = 16 ← equation of circle