(Geometry: Point in a circle?) Write a program that prompts the user to enter a Point (x ,...
(Geometry: Point in a circle?) Write a program that prompts the user to enter a Point (x , y) and checks whether the Point is within the circle centered at (0 , 0) with radius 10. For example, (4 , 5) is inside the circle and (9 , 9) is outside the circle, as shown in Figurea.
Figure (a) Points inside and outside of the circle. (b) Points inside and outside of the rectangle.
(Hint : A Point is in the circle if its distance to (0 , 0) is less than or equal to 10. The formula for computing the distance is 
. Test your program to cover all cases.) Two sample runs are shown here:
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