Question

A circle has a center at (8,2). The point is (3,7) is on the circle. What is the area of the circle to the nearest tenth of a square unit?

A. 22.2
B. 44.4
C. 157.1
D. 314.2
(I've been stuck on this question for a while) thanks!!

Answer 1

The circle is

(x-8)^2 + (y-2)^2 = r^2
Plug in your point (3,7) and you have

(3-8)^2 + (7-2)^2 = r^2
Now that you have r^2, you know the area is just pi r^2

Answer 2

I still don't get the answer steve? I calculated, but nothing close.

Answer 3

Hmmm. Let's see.

r^2 = 5^2+5^2 = 50
The area is πr^2, or 50*3.14159 = 157.09

Looks like C to me.

If you try stuff and it seems wrong, you really should post your work, so we can help fix it.