Question

A circle is centered at (7, 8) and has a radius of 11. Which of the following is the equation for this circle?

(x − 7)2 + (y − 8)2 = 121
(x − 7)2 + (y − 8)2 = 11
(x + 7)2 + (y + 8)2 = 121
(x + 7)2 + (y + 8)2 = 11

Answer 1

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Answer 2

so we have this formula:
\[ (x− a)2 + (y−b )2 = r^2 ​\]
\[(a,b) \Rightarrow (7,8)\]
\[ r=11 \]

plugging that info in the formula, it would be:
\[ (x−7)2 + (y−8 )2 = 11^2 \]
\[ \updownarrow \]
\[ (x−7)2 + (y−8 )2 = 121 \]

Answer 3

that said, which option is the right one?

Answer 4

It is going to be A

Answer 5

there you go!