MATH SOLVE

2 months ago

Q:
# The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5). What is the other endpoint of the diameter?

Accepted Solution

A:

Consider this option:

1. if the point (4;6) is the centre of the circle and the point (2;5) is the first endpoint of its diameter, then point (4;6) is the middle point of the diameter (it means that is the middle between the 1st and the 2d endpoints of diameter).

2. using the property described above:

for x of the 2d endpoint of the diameter: x=4*2-2=6;

for y of the 2d endpoint of the diameter: y=6*2-5=7.

answer: (6;7)

1. if the point (4;6) is the centre of the circle and the point (2;5) is the first endpoint of its diameter, then point (4;6) is the middle point of the diameter (it means that is the middle between the 1st and the 2d endpoints of diameter).

2. using the property described above:

for x of the 2d endpoint of the diameter: x=4*2-2=6;

for y of the 2d endpoint of the diameter: y=6*2-5=7.

answer: (6;7)