Question 872354: I'm asking this for a third time :(
The equation of a circle is (x−4)^2+ (y+2)^2=16.
B) Find the radius of the circle with the given equation.
Can someone give me explanations on how they got the answer instead of just giving me the answer please?
The radius is 4, but I need to know how and the steps it takes to get to 4.
Thank you so much.
Found 2 solutions by josgarithmetic, dkppathak:
Answer by josgarithmetic(39621)   (Show Source):
You can put this solution on YOUR website! THE CENTER IS (4,-2) and THE RADIUS IS 4.
FIND THE POINT (4,-2) ON THE CARTESIAN PLANE AND DRAW THE POINTS WHICH ARE A DISTANCE OF 4 UNITS FROM IT.
Another way to study this example is to use the distance formula to form the distance between some set of unknown points (x, y) and the point (4,-3), and equate this distance formula expression to 4. Simplify the equation and adjust to the typical standard form for a circle. This is how we can learn to just read an equation of a circle for its center and radius.
THAT is simply the use of the Distance Formula. Simplify it and adjust into the typical standard form, not too many steps needed, and you have your given equation. This started with our required center and radius.
Answer by dkppathak(439)  (Show Source):
You can put this solution on YOUR website! I'm asking this for a third time :(
The equation of a circle is (x−4)^2+ (y+2)^2=16.
B) Find the radius of the circle with the given equation.
Can someone give me explanations on how they got the answer instead of just giving me the answer please?
The radius is 4, but I need to know how and the steps it takes to get to 4.
Thank you so much.
Answer
equation of circle given (x-a)^2 +(y-b)^2 =r^2 where a,b are coordinate of center of circle
now given circle is (x−4)^2+ (y+2)^2=16 by comparison of equations
we can say the coordinate of centers is (4,2) and r^2 =16
r=plus and minus 4 but radius of circle can not be negative therefor r=4 radius of circle will be 4 only
you should also know general equation of circle is x^2 +y^2 =r^2 where center at origin (0,0)
and radius is square root of r
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