Question

Find the equation of the circle that has a diameter with endpoints located at

Answer 1

(-5,-3) and (-11,-3)

Answer 2

See: centre of the circle would be the midpoint of the endpoints of the diameter. Right ?

Answer 3

So, can you calculate the mid point of given points @ltp1212 ?

Answer 4

-8,-3

Answer 5

Very good. So that is your centre.

Answer 6

Now, find out the distance between the given points, that would be the length of the diameter

Answer 7

You can even use the direct formula.

Answer 8

6?

Answer 9

But I would suggest you to stick to the basic method.

Answer 10

is it 6?

Answer 11

yes

Answer 12

So, radius = diameter /2 = 3 units

Answer 13

Now you have the centre's coordinates and radius' length. Can you find the eq. of circle now ?

Answer 14

is it \[(x+8)^2+(y+3)^2=9\]

Answer 15

Yeah

Answer 16

@vishweshshrimali5 thanks