What is the radius of a circle with the equation x2 + y2 - 14x + 10y = 250?

Question

Mathematics

Gustavo Andrade

3 April, 18:12

What is the radius of a circle with the equation x2 + y2 - 14x + 10y = 250?

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Answers (1)

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Squeeky · Answer 1

Complete the square.

x^2-14x = (x-7) ^2 - (-7) ^2

= (x-7) ^2-49

y^2+10y = (x+5) ^2 - (5) ^2

= (x+5) ^2-25

(x-7) ^2 + (y+5) ^2-49-25=250

(x-7) ^2 + (y+5) ^2=324

=sqrt 324

=18