Question

geo help a diameter has endpoints -10, -2 and 4,6
what is the radius center and equation of the circle
heres an example question help me through it

Answer 1

please help me this is too hard

Answer 2

hurry people i have things to do and im stuck here

Answer 3

first find the midpoint of the line joining the 2 given points
can you do that?

Answer 4

is it -3,2

Answer 5

yes Thats the coordinates of the center
Now use the distance formula to fin diameter of the circle then you'll get the radius

Answer 6

diameter = sqrt (6 - -2)^2 + ( 4 --10)^2

Answer 7

64+196 square root

Answer 8

about 16.1

Answer 9

16.12 so radius = 8.06

now you plug in these values into general equation for a circle//;-

(x - a)^2 + (y - b)^2 = r^2

where center = (a,b) and r = radius

Answer 10

a = -3 , b = 2 and r^2 = 64.96

Answer 11

(x+3)^2+(y-2)^2=64.96

Answer 12

right!

Answer 13

yay thank you

Answer 14

yw

Answer 15

you can also write the eq. of circle by the extremities of diameter.
\[\left( x-x _{1} \right)\left( x-x _{2} \right)+\left( y-y _{1} \right)\left( y-y _{2} \right)=0 \]
general eq. of circle is \[x^2+y^2+2gx+2fy+c=0\]
where center is (-g,-f)
and \[radius=\sqrt{g^2+f^2-c}\]