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Question

How do you write the standard form of a circle?


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Solution

Finding how to write the standard form of a circle equation:

The standard form of a circle equation is given below:

(xh)2+(yk)2=r2

Here, (h,k) ae the coordinates of the center of the circle and r is the radius.

When the center of a circle lies at the origin, then the standard form of equation of circle becomes:

x2+y2=r2

The equation of unit circle r=1 is:

x2+y2=1

Hence, we can write the standard form of circle as mentioned above.


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