The standard equation of the circle will be (x+5)²+(y+5)²= 145
The center of the circle, which is the midpoint between those two locations, may be found first since you know the diameter endpoints.
formula for the midpoint
= ((x1+x2)/2, (y1+y2)/2)
Given points are - (3, 4), (−13, −14)
The circle's center is at (-5,-5)
Therefore, the circle's equation will take the form (x+5)²+(y+5)²=R², where R is the circle's radius.
The distance between a point on the circle and the circle's center in order to get the radius.
Therefore, let's calculate the distance between (-5, -5) and (-13,-14)
Radius R = √((-13+5)²+(-14+5)²) using the distance formula.
= 12.04
equation will be -
(x+5)²+(y+5)²= 145
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