Question

The endpoints of a diameter of a circle are (4,-2) and (3,6). Find the area of the circle in terms of pi

Answer 1

The endpoints of a diameter of a circle are (4,-2) and (3,6). The area of the circle in terms of pi is 65pi
First, is to get the length of the diameter by getting the distance of the two points: (4, -2) and (3, 6)

dis = sqrt( (x2-x1)^2 + (y2-y1)^2)
dis = sqrt( (3-4)^2 + (6--2)^2 )
dis = sqrt( 1 + 64 )
dis = sqrt(65)

Next, is to find the area of the circle:
A = pi * r^2
A = pi * (sqrt(65))^2
A = 204.20 square units