The center of the circle is at point (0, 6 ) . If the distance between the two points where the circle intersects the x-axis is 16, what is the area of the circle?
Best way to solve this would be to draw the circle. You know the centre is (0,6) And the length of a chord is given as 16.
Now since the circle is symmetric about the Y-axis, half the length of the chord would be 8. Now complete the right triangle,
6,8 and 10 are pythagoras triplets. The radius would be 10 and the area 100Pi
