Answered

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how do you find the standard equation of a circle?
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Sagot :

Shymeannnalicat169idn

Answer:

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

Step-by-step explanation:

Sana makatulong po ❤

Mrwhiteywen09idn

Question:

How do you find the standard equation of a circle?

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Answer:

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

So add 21 to both sides to get the constant term to the right hand side of the equation.

x^2 + y^2 - 4y = 21

Then complete the square for the y terms.

x^2 + y^2 - 4y + 4 = 21 + 4

Then factor.

x^2 + ( y - 2 )^2 = 5^2

So, the center is at ( 0, 2 ) and the radius is 5.

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