What is the equation of the circle with a diameter whose endpoints are (-3,-9) and (-7,1)?

Question

asked Nov 5, 2022 65.9k views

2 Answers

Nielarshi · Answer 1 · 2022-11-06T05:42:55+0000

Answer:

( x + 5 )² + ( y + 4 )² = 29

Explanation:

Equation of the circle is

( x - h )² + ( y - k )² = r²

( h, k ) are coordinates of the center

~~~~~~~~~~~~~~~~~~~~~

Coordinates of the center of the circle are

(
(-3-7)/(2) ,
(-9+1)/(2) ) = ( - 5 , - 4 )

d = 2√29 ⇒ r = √29

( x + 5 )² + ( y + 4 )² = 29