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02-03-2020
Mathematics

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If (9, 1) and (1,9) are the endpoints of a diameter of a circle, what is the equation of the circle?

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amna04352 amna04352

02-03-2020

Answer:

(x - 5)² + (y - 5)² = 32

Step-by-step explanation:

Centre = midpoint of the diameter

(h,k) = (9+1)/2, (9+1)/2 = (5,5)

Radius² = [(9-5)² + ((1-5)²]

= 16 + 16 = 32

Equation:

(x - 5)² + (y - 5)² = 32

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