AB is a diameter of a circle, where A(-3,-4) and B(3,4). Find its centre and length of diameter.
centre=(0,0)radius=10cm
Let O be the centre of the circle and A(-3,-4)and B(3,4) are the two and points of the diameter AB, of the circle.
∵ O is the midpoint of AB
∴x=−3+32=0
y=4−42=0
Centre O(x,y) = O(0,0)
Length of diameter.
√(x2−x1)2+(y2−y1)2
=√(3)−(−3)2+(4−(−4))2=√62+82
=√102=10cm