A circle has a diameter with endpoints A(-4,4) and B(2,-3). What is the length of the diameter

Answer 1

We can use the distance formula to find the distance between the two endpoints:

d=√((x₂-x₁₎²+(y₂-y₁)²) = √((-3-4)² + (2-(-4))²) = √((-7)² + (6)²) = √(49 + 36) = √85

Answer 2

A circle has a diameter with endpoints A(-4,4) and B(2,-3). What is the length of the diameter

.....Here you can use the Distance Formula (for Analytic Geometry) to calculate the length of the diameter....

	=	distance
	=	coordinates of the first point
	=	coordinates of the second point

(-4,4) and (2, -3)......d = √(2-(-4))² + (-3) - 4))² =√ 36 + 49 = √85 = 9.2195444572928873100022742817628



Answer 3

Hello, Anette,

The diameter will be a straight line. The fact that it is part of a circle makes no difference to this particular question. We do know it goes through points (-4,4) and (2,-3). Since it is a straight line, its equation will have the form y = mx + b. Lets calculate the slope from the two points.

The slope is defined as "the rise over the run) between these two point. If we go from the first to the second, the run (the distance between the points on the x axis) can be calculated as 6 (the distance between -4 and 2). The rise is the difference in the second pair of numbers. The rise is -7, since it drops from 4 (at x = -4), to -3 at x =2, a distance of -7.

The rise over the run is the slope of the line = -7/(6)or -(7/6).

The equation becomes y = -(7/6)x + b. The line slopes downward as x increases.

To calculate the intercept,b, plug in one set of numbers for x and y (we'll choose the -4,4 point).

4 = -(7/6)*(-4) + b

Rearranging, we get 4 = (28/6) + b

and then b = 4 - (28/6)

b = 4 - 4 4/6

` b = -2/3

So the equation is:

y = -(7/6)x -2/3

I hope this helps,

Bob

Answer 4