Find the length of the diameter of a circle whose endpoints are at (11, 4) and (10, 5).
a circle has no endpoints.
the diameter is √[(10-11)^2 + (5-4)^2] = √(1+1) = √2
To find the length of the diameter, we can use the distance formula between the two endpoints of the diameter.
The distance formula is given by:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
Let's substitute the coordinates of the two points:
d = √[(10 - 11)^2 + (5 - 4)^2]
= √[(-1)^2 + (1)^2]
= √[1 + 1]
= √2
Therefore, the length of the diameter of the circle is √2.
To find the length of the diameter of a circle, we need to use the distance formula. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's denote the first endpoint as (x1, y1) = (11, 4) and the second endpoint as (x2, y2) = (10, 5).
Substituting these values into the distance formula:
d = √((10 - 11)^2 + (5 - 4)^2)
= √((-1)^2 + (1)^2)
= √(1 + 1)
= √2
Therefore, the length of the diameter of the circle is √2 units.