Question

Find the standard form for the equation of a circle (x−h)2+(y−k)2=r2 with a diameter that has endpoints (−8,6) and (9,−8)

Answer 1

Use the distance formula to find the diameter.

Answer 2

Then use the midpoint formula to find the center of the circle.

Answer 3

sqrt((9-(-8))^2(((-8)-6)^2)=238

Answer 4

(1/2,-1)=midpoint

Answer 5

\[\sqrt{(x _{2}-x _{1})^2+(y _{2}-y _{1})^2}=d\]

Answer 6

The midpoint is correct.

Answer 7

what about the distance formula

Answer 8

\[\sqrt{(-8-9)^2+(6+8)^2}=d=\sqrt{289+196}=\sqrt{485}=r\]

Answer 9

So r^2=485

Answer 10

And now you can write the equation of the circle because you know h, k and r^2

Answer 11

oh ok i see what i did wrong thank you

Answer 12

yw