SOLUTION: Write an equation for a circle with center at (5,-2) and diameter of 8 centimeters.

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Question 295474: Write an equation for a circle with center at (5,-2) and diameter of 8 centimeters.
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
circle equation is:
%28x+-+a%29%5E2+%2B+%28y+-+b%29%5E2+=+r%5E2
where (a, b) is the center of the circle, and r is the radius

so, the circle equation with center of (5, -2) and diameter = 8 (radius = 8/2= 4) is:
%28x+-+5%29%5E2+%2B+%28y+-+%28-2%29%29%5E2+=+4%5E2
%28x+-+5%29%5E2+%2B+%28y+%2B+2%29%5E2+=+16
%28x+-+5%29%2A%28x+-+5%29+%2B+%28y+%2B+2%29%2A%28y+%2B+2%29+=+16
x%5E2+-+5x+-+5x+%2B+25+%2B+y%5E2+%2B+2y+%2B+2y+%2B+4+=+16
x%5E2+-+10x+%2B+25+%2B+y%5E2+%2B+4y+%2B+4+-+16+=+0
x%5E2+%2B+y%5E2+-+10x+%2B+4y+%2B+25+%2B+4+-+16+=+0
x%5E2+%2B+y%5E2+-+10x+%2B+4y+%2B+13+=+0