Question

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

Answer 1

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."