The center of the circle is a( -3,3) and b(1,6) is on the circle. find the area of the circle in terms of pie

We'll need to find the equation of this circle.  Once we have that equation, we use r to calculate the area.

The general equation of a circle with center at (h,k) and radius r is

(x-h)^2 + (y-k)^2 = r^2.  Subst. the given info (-3,3) [center] and (1,6) [point on circle], we get

(x+3)^2 + (y-3)^2 = r^2

(1+3)^2 + (6-3)^2 = r^2

16 + 9 = 25 = r^2

The area of this circle is A =pi(r^2).  But r^2 = 25.  So the area is

A = pi(25), or   A = 25pi.   Please note:  it's "pi," not "pie."

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