Find the standard form of the circle with a diameter that ha

Find the standard form of the circle with a diameter that has end points (-7,-5) and (9,5)

h=    k=   r=

Solution

Solution:

Center of the circle (h,k) = mid point of the end points given

=> (h,k) = ( (-7+9)/ 2 , (-5+5)/ 2

=> (h,k) = (1,0)

and radius will be the distance between this point(center) and any of the given end points.

=> radius = r = (1-(-7))² +(0-(-5))²  

=> r = 64+25

=> r =89 = 9.434 units

hence;

standard form:

(x-1)²+(y-0)² = 89