Question

PLEASE HELPPPP!!!!!!!!!!!!

Answer 1

Given:

Two endpoints of a diameter of a circle:

P (-7, -10)
Q (3, 2)

a) To find the center of the circle, find the midpoint of the two points:

midpoint:

(x2 - x1 )/ 2 , (y2 - y1) / 2

x= (2 - (-7))/2 = 4.5
y= (3 - (-10))/2 = 6.5

Therefore, the center of the circle is at C(4.5, 6.5)


 b) To find the radius of the circle, we need to find the distance between the two points and divide by 2.

d = √(y2-y1)^2 + (x2 - x1)^2
d = √(2-(-7))^2 + (3 - (-10))^2
d = 5√10 = diameter
r = d/2 = 5√10 /2