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Determine the equation of the circle with radius 6 and center (-1, -2).

User MahatmaManic
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1 Answer

23 votes
23 votes

Answer:

(x +1)² +(y +2)² = 36

Explanation:

You want the equation of the circle with radius 6 and center (-1, -2).

Equation of a circle

The standard-form equation of a circle with center (h, k) and radius r is ...

(x -h)² +(y -k)² = r²

Application

You have (h, k) = (-1, -2) and r = 6. This means the equation of the circle is ...

(x -(-1))² +(y -(-2))² = 6²

(x +1)² +(y +2)² = 36

User Farhad Sakhaei
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3.0k points