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avatar+452 

Help.

NotSoSmart  Apr 11, 2017
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2+0 Answers

 #1
avatar+4154 
+3

a.

The center of the circle will be the midpoint of the diameter's endpoints.

midpoint = ( average of the x's , average of the y's )

midpoint = ( \(\frac{-10+4}{2} , \frac{-2+6}{2}\) )

midpoint = ( -3 , 2 )

 

b.

The radius will be the distance from the midpoint to an endpoint of the diameter. We can use the distance formula to find this distance.

radius = \(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)

radius = \(\sqrt{(-3-(-10))^2+(2-(-2))^2}\)

radius = \(\sqrt{49+16}\)

radius = \(\sqrt{65}\)

 

c.

The equation of a circle is (x - h)2 + (y - k)2 = r2

Where ( h, k ) is the center point, and r is the radius.

 

Just plug in the center point and radius into the equation.

(x + 3)2 + (y - 2)2 = 65

hectictar  Apr 11, 2017
 #2
avatar+452 
+1

thanks!

NotSoSmart  Apr 11, 2017

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