How do you write the equation of the circle a center at (5, -1) and containing the point (4,-5)?

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How do you write the equation of the circle a center at (5, -1) and containing the point (4,-5)?

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Answer 1 · 2018-04-25T14:12:45

#(x-5)^2 + (y+1)^2 =37#

Explanation:

Find the distance to (4,-5) from (5,-1) first, which is#sqrt((5-4)^2+(-1-5)^2# = #sqrt(1 + 36)# = #sqrt37# hence the radius is #sqrt37#. Use the equation #(x-a)^2 + (y-b)^2 = r^2# where a is the x co-ordinate of the centre of the circle and b is the y co-ordinate. r is the radius.

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How do you write the equation of the circle a center at (5, -1) and containing the point (4,-5)?

1 Answer

Explanation:

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