What is the standard equation of the circle with radius 5 and the center (-3, -4)?
2 answers:
ANSWER

EXPLANATION
The equation of a circle with center (h,k) and radius r units is given by:

From the given information the center of the circle is (-3,-4) and the radius is r=5 units.
We substitute the known values to obtain:

We simplify to get:

Therefore the equation of the circle in standard form is:

Answer:
(x+3)² + (y+4)²=25
Step-by-step explanation:
The question is on equation of a circle
The distance formula is given by;
√(x-h)²+ (y-k)²=r
The standard equation of circle is given as ;
(x-h)²+ (y-k)²=r²
The equation of this circle with center (-3, -4) and radius 5 will be;
(x--3)² + (y--4)²=5²
(x+3)² + (y+4)²=25
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