Determine the equation of a circle with a center of (3,5) and a radius of 3.

Step-by-step explanation:

A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.

The center of the circle is (3, 5)

The formula for determining the equation of a circle is expressed as

(x - h)² + (y - k)² = r²

Where

r represents the radius of the circle

h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,

h = 3 and k = 5

Radius, r = 3

Substituting into the formula, it becomes

(x - h)² + (y - k)² = r²

(x - 3)² + (y - 5)² = 3²

(x - 3)² + (y - 5)² = 9

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