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?
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.
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.