In the diagram below, AB is the diameter of the circle with centre P. Point C lies on the y-axis. Given the coordinates of A and B are (-6,3) and (2,-3) respectively ,calculate a)the coordinates of P

b)radius of the circle

c)the coordinates of C

d)the area of the circle in term of

The coordinates of P are (-2,0)

The radius of the circle is 5.

Step-by-step explanation:

Analytic geometry

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

a)

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

Substituting x1=-6, x2=2, y1=3, y2=-3:

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

Substituting x1=-6, x2=-2, y1=3, y2=0:

The radius of the circle is 5.

$79500

step-by-step explanation: