Question

Точки А(-4;7) и В(2;-1) ЯВЛЯЮТСЯ КОНЦАМИ ДИАМЕТРА ОКРУЖНОСТИ.НАДО НАЙТИ ДИАМЕТР ОКРУЖНОСТИ

Answer 1

Диаметр нашей окружности - вектор АВ, заданный координатами его концов. Длина вектора (дмаметр) АВ = √[(Хb-Xa)²+(Yb-Ya)²] = √(6²+8²) = √100 = 10.

Answer 2

Finding the Diameter of a Circle with Points A(-4,7) and B(2,-1)

To find the diameter of a circle given two points on its circumference, we can use the distance formula. The distance formula calculates the distance between two points in a coordinate plane.

The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, we have point A(-4,7) and point B(2,-1). Let's calculate the distance between these two points using the distance formula:

d = √((2 - (-4))^2 + (-1 - 7)^2)

Simplifying further:

d = √((6)^2 + (-8)^2)

d = √(36 + 64)

d = √100

d = 10

Therefore, the diameter of the circle is 10 units.

Conclusion

The diameter of the circle with points A(-4,7) and B(2,-1) is 10 units.