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Write the standard form of the equation of the circle with the given characteristics.

Center: (8, −9) ; Radius: 19

User Jusuf
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1 Answer

18 votes
18 votes

Answer:

Explanation:

The equation of the circle with centre: (8, -9) and radius of 19 is given as:

(x - 8)^2 + (y+9)^2 = 361.

The standard form for the equation of a circle is:

(x-h)^2 + (y-k)^2 = r^2. Where centre: (h, k) and radius: r.

Therefore, substituting given values, we'll have:

(x - 8)^2 + (y - (-9))^2 = 19^2, which is equal to

(x - 8)^2 + (y+9)^2 = 361.

User KShewengger
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