Write the standard equation for the circle center 10 6 r 6

Write the standard equation for the circle. center (10, -6). r = 6 A. (x + 10)^2 + (y - 6)^2 = 6 B. (x + 6)^2 + (y - 10)^2 = 36 C. (x - 10)^2 + (y + 6)^2 = 36 D. (x - 10)^2 + (y + 6)^2 = 6

Solution

Standard equation of a circle with center as (a,b) and radius as r:

(x-a)² + (y-b)² = r²

^{Here center= (10,-6) and radius= 6}

^{Hence, a=10, b= -6, r= 6}

^{now put these values in the standard equation of a circle:}

(x-10)² + (y-(-6))² = 6² => (x-10)² + (y+6)² = 36, Ans= Optionn (C)