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a circle is centered at the point (5, -4) and passes through the point (-3, 2).

the equation of this circle is (x + ²+ ²=

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)    

the formula to calculate the distance between two points is equal to

substitute the values

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

where

(h,k) is the center

r is the radius

we have

substitute

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation: