Question

the point (3,0) lies on a circle with the center at the origin what is the area of the circle to the nearest hundredth

Answer 1

-- The point (3, 0) is on the circle.

-- So the distance to it from the center of the circle
must be the radius of the circle.

-- The center of THIS circle is at the origin.

-- The distance from the origin to (3, 0) is 3 .

-- The radius of this circle is 3 .

-- The area of any circle is (pi) (radius of the circle)²

-- The area of THIS circle is (pi) (3)² = 9 pi = 28.27 (rounded)