Q:

I really need helpWhat is the equation of a circle whose center is begin ordered pair negative 4 comma 6 end ordered pair and whose radius is 9 cm?A.open parentheses x minus 4 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 81B.open parentheses x plus 4 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 3C.open parentheses x plus 4 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 81D.open parentheses x minus 4 close parentheses squared plus open parentheses y plus 6 close parentheses squared equals 3

Accepted Solution

A:
Answer:The answer is (C)The equation of the circle is (x + 4)² + (y - 6)² = 81Step-by-step explanation:* To find the equation of the circle you need to know   the center of the circle and the length of its radius* The rule of the equation of the circle is:   (x - h)² + (y - k)² = r²   Where x and y is a general point on the circle,   h and k are the coordinates of the center of the circle   and r is the radius of the circle∵ The center of the circle is (-4 , 6)∵ The radius of the circle is 9∴ (x - -4)² + (y - 6)² = 9²∴ ( x + 4)² + (y - 6)² = 81∴ The answer is (C)