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Write the equation of a circle with a center at (2.5, –3.5) and a diameter of 12.
Choices are
x + 2.5)2 + (y – 3.5)2 = 12

(x – 2.5)2 + (y + 3.5)2 = 36

(x + 2.5)2 + (y – 3.5)2 = 36

(x – 2.5)2 + (y + 3.5)2 = 144

Respuesta :

Answer:

second option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5)² + (y - (- 3.5))² = 6², that is

(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle

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