Equation of the circle with center 2,1 and 5,2 a point on the circle
2 answers:
Answer:
Step-by-step explanation:
The center tells you how to handle the left side of a circle's equation.
(x - 2)^2 + (x - 1)^2 = r^2
The point (5,2) gives you enough information to find r^2
x = 5
y = 2
(5 - 2)^2 + (2 - 1)^2 = r^2
(3)^2 + 1^2 = r^2
9 + 1 = r^2
r^2 = 10
Complete equation
(x - 2)^2 + (y - 1)^2 = 10
Answer: (x-2)^2+(y-1)^2=10
Step-by-step explanation:
r=√(x-h)^2+(y-k)^2
r=√(5-2)^2+(2-1)^2
r=√3^2+1^2
r=√9+1
r=√10
X^2+y^2=r^2
(x-2)^2+(y-1)^2=(√10)^2
(x-2)^2+(y-1)^2=10
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