Which equation is the equation of a circle with a radius of 5 cm and center at (-3, 6)?
A. x + 3^2 + y - 6^2 = 25
B. x + 3^2 + y - 6^2 = 10
C. x - 3^2 + y + 6^2 = 25
D. x - 3^2 + y + 6^2 = 10
All of your choices are nonsense the way you typed them without parentheses
(x+3)^2 + (y-6)^2 = 25
No way you could help the guy below you, Momen, who asked a far more difficult question luckily answered by Bob Pursley elsewhere.
To find the equation of a circle with its center at point (h, k) and a radius of r, we can use the formula:
(x - h)^2 + (y - k)^2 = r^2
In this case, the center of the circle is (-3, 6) and the radius is 5 cm. Plugging these values into the formula, we get:
(x - (-3))^2 + (y - 6)^2 = 5^2
Simplifying, we have:
(x + 3)^2 + (y - 6)^2 = 25
Therefore, option A is the correct equation of the circle:
A. x + 3^2 + y - 6^2 = 25