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Question
Math
Posted 9 months ago

Write the equation of the circle graphed below.
+x=+\underset{=}{-x}
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Answer from Sia
Posted 9 months ago
Solution by Steps
step 1
Identify the center and radius of the circle from the given information
step 2
Use the standard form equation for a circle (xh)2+(yk)2=r2(x - h)^2 + (y - k)^2 = r^2, where (h,k)(h, k) is the center and rr is the radius
step 3
Substitute the center (1,1)(1, -1) and radius 11 into the equation
step 4
Write the equation as (x1)2+(y+1)2=12(x - 1)^2 + (y + 1)^2 = 1^2
step 5
Simplify the equation to (x1)2+(y+1)2=1(x - 1)^2 + (y + 1)^2 = 1
Answer
The equation of the circle is (x1)2+(y+1)2=1(x - 1)^2 + (y + 1)^2 = 1.
Key Concept
Standard form equation of a circle
Explanation
The standard form equation of a circle is used to describe the set of all points in a plane that are equidistant from a given point called the center. The distance from the center to any point on the circle is the radius.

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