SOLUTION
Given the center (5,1) ,we then substitute the the givens to the standard form of a circle.
Substituting the center to the equation
- (x-h)²+(y-k)²=r²
- (x-5)²+(y-1)²=r²
Now, all we need to do is to find the value of the radius.
Substituting the point to the equation.
- (8,-2) , x = 8 , y = -2
- (x-5)²+(y-1)²=r²
- (8-5)²+(2-1)²=r²
- (3)²+(1)²=r²
- 9+1 = r²
- 10 = r²
Summing up the equation we get:
ANSWER
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