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Which equation represents a circle with a center at (2, –8) and a radius of 11? (x – 8)2 + (y + 2)2 = 11 (x – 2)² + (y + 8)² = 121 (x + 2)² + (y – 8)² = 11 (x + 8)² + (y – 2)² = 121

Respuesta :

Answer:The answer B: (x – 2)² + (y + 8)² = 121

Step-by-step explanation:

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The required equation of the circle is  (x – 2)² + (y + 8)² = 121

Equation of a circle

The formula for calculating the equation of a circle is expressed sa:

(x – a)² + (y - b)² = r²

where:

(a, b) is the centre

r is the radius

Given the followin parameters

(a, b) = (2, -8)

r = 11

Substitute into the formula to have:

(x – 2)² + (y + 8)² = 11²

(x – 2)² + (y + 8)² = 121

Hence the required equation of the circle is  (x – 2)² + (y + 8)² = 121

Learn more on equation of a circle here: https://brainly.com/question/14150470

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