+0

# Help. ​

0
122
2
+452

Help.

NotSoSmart  Apr 11, 2017
Sort:

#1
+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
+452
+1

thanks!

NotSoSmart  Apr 11, 2017

### 6 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details