Question

if 1,2 and 3 ,-2 are endpoints of diameter of circle then the radius is ?​

Answer 1

Step-by-step explanation:

given: the end points of the diameter of a circle;(1,2) & (3,-2)

by distance between two points formula,

√(X2-X1^2)+(Y2-Y1^2), we get,

diameter= √(3-1)^2+(-2-2)^2

=√4+16

=√20 units.

since the distance of the diameter is √20 units and diameter = radius/2, we get,

radius=(√4*5)/2

=(2√5)/2

=√5 units.

therefore, the radius is √5 units.