+0  
 
+5
709
2
avatar

A circle has a diameter of XY. If the coordinates of X and Y are (-8,-3) and (2,7) respectively, what is the length of the diameter?

 Apr 1, 2016
edited by Guest  Apr 1, 2016
edited by Guest  Apr 1, 2016
edited by Guest  Apr 1, 2016

Best Answer 

 #1
avatar+426 
+5

Since XY is a diagonal line, let's solve using the Pythagorean theorem of formula c2 = a2 + b2, as we are going to graph a right-angled triangle.

 

Coordinate input = (x,y)

 

X to Y

 

2 - (-8) = 10 steps to the right

 

7 - (-3) = 10 steps up

 

If a = 10, and b = 10, then c = XY.

We will approach c, or XY by doing:

 

c2=a2+b2

 

c2=102+102

 

c2=200

 

c=√200

 

c=√100 √2

 

c=10√2

 

c=14.142 units, rounded to 3 decimal places.

 Apr 1, 2016
edited by MWizard2k04  Apr 1, 2016
 #1
avatar+426 
+5
Best Answer

Since XY is a diagonal line, let's solve using the Pythagorean theorem of formula c2 = a2 + b2, as we are going to graph a right-angled triangle.

 

Coordinate input = (x,y)

 

X to Y

 

2 - (-8) = 10 steps to the right

 

7 - (-3) = 10 steps up

 

If a = 10, and b = 10, then c = XY.

We will approach c, or XY by doing:

 

c2=a2+b2

 

c2=102+102

 

c2=200

 

c=√200

 

c=√100 √2

 

c=10√2

 

c=14.142 units, rounded to 3 decimal places.

MWizard2k04 Apr 1, 2016
edited by MWizard2k04  Apr 1, 2016
 #2
avatar+118673 
+5

That is a good answer mWizzard but it is not polite to add 'spoilers' such as your one.

There is no benefit to you getting people off side.

 Apr 1, 2016

4 Online Users

avatar