A circle is centered at the point (5,-4) and passes through the point (-3, 2). what is the equation of this circle?

(x-5)² + (y+4)² = 100

Step-by-step explanation:

The formula for calculating the equation of a circle is expressed as;

(x-a)² + (y-b)² = r² where:

(a,b) is the centre of the circle

r is the radius

Get the radius using the distance formula;

r = √(2-(-4))²+(-3-5)²

r = √6²+(-8)²

r = √36+64

r =√100

r² = 100

Since a = 5 and b = -4, on substituting into the formula;

(x-5)² + (y+4)² = 100

This gives the required equation

51840000 cm 2

step-by-step explanation:

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