bmwhype2 wrote:

The center is at point (0,6). The distance between the two points where the circle intersects the x-axis is 16. What is the area of the circle?

36 pi

45 pi

64 pi

81 pi

100 pi

As the center of the circle is (0,6), on Y-axis, and the circle intersects the X-axis at two points, which means on the positive side of the axis as well as on the negative side of the axis. Thus distance from the center of the circle to the point of intersection will be radius.

and points on X axis will be ( -8,0 ) and ( +8, 0)

6 is the distance from origin to the center,

8 is the distance from origin to the point of intersection

Therefore r^2 = 6^2 + 8^2

r=10

Area = 100pi