Identify the equation of the circle B with center B(4,−6) and radius 7. HELP ASAP!!
Accepted Solution
A:
Answer:(x − 4)2 + ( y + 6)2 = 49Step-by-step explanation:The equation of a circle with center (h, k) and radius r is (x − h)2 + (y − k)2 = r2.
Define h, k and r using the given values. So, h = 4, k = −6 and r = 7.
Substitute the values into the equation of a circle:
(x − 4)2 + (y − (−6))2 =72
Simplify.
(x − 4)2 + (y + 6)2 = 49
Therefore, the equation of the circle B with center B(4, -6) and radius 7 is (x − 4)2 + (y + 6)2 = 49.